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Statistics — JEE Main & Advanced Mathematics PYQs

323 previous year questions from Statistics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

323 questionsMathematicsSolutions on every page
1

Consider a data consisting of 10 observations x₁, x₂, , x₁₀ , whose mean is 5 and variance is 7 . If the mean and the variance of the first 8 observations x₁, x₂, , x₈ are 4 and 3.

JEE Advanced 2026 Solution View → 2

A set of four observations has mean 1 and variance 13 . Another set of six observations has mean 2 and variance 1 . Then, the variance of all these 10 observations is equal to:

JEE Main 2026 Solution View → 3

Let the mean and the variance of seven observations 2, 4, , 8, , 12, 14 , < , be 8 and 16 respectively. Then the quadratic equation whose roots are 3 + 2 and 2 + 1 is :

JEE Main 2026 Solution View → 4

A data consists of 20 observations x₁, x₂, , x₂₀ . If _ i=1 ²⁰(x_i + 5)^2 = 2500 and _ i=1 ²⁰(x_i - 5)^2 = 100 , then the ratio of mean to standard deviation of this data is:

JEE Main 2026 Solution View → 5

A variable X takes values 0, 0, 2, 6, 12, 20, , n(n-1) with frequencies ^nC₀, ^nC₁, ^nC₂, ^nC₃, ^nC₄, ^nC₅, , ^nC_n , respectively. If the mean of this data is 60 , then its median

JEE Main 2026 Solution View → 6

The mean deviation about the mean for the data x_i 5 7 9 10 12 15 f_i 8 6 2 2 2 6 is equal to:

JEE Main 2026 Solution View → 7

For 10 observations x₁, x₂, , x₁₀ , if _ i=1 ¹⁰(x_i+2)^2=180 and _ i=1 ¹⁰(x_i-1)^2=90 , then their standard deviation is:

JEE Main 2026 Solution View → 8

Suppose that the mean and median of the non-negative numbers 21, 8, 17, a, 51, 103, b, 13, 67, (a > b) , are 40 and 21 , respectively. If the mean deviation about the median is 26

JEE Main 2026 Solution View → 9

The mean and variance of n observations are 8 and 16 , respectively. If the sum of the first (n-1) observations is 48 and the sum of squares of the first (n-1) observations is 496

JEE Main 2026 Solution View → 10

If the mean of the data Class 5-10 10-15 15-20 20-25 25-30 30-35 Frequency 2 k 28 54 k+1 5 is 21 , then k is one of the roots of the equation :

JEE Main 2026 Solution View → 11

The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are 2,3,5,10,11,13,15,21 , then the mean deviation about the median of all the 10

JEE Main 2026 Solution View → 12

Let X = x ~N : 1 x 19 and for some a, b R , Y = a x+b: x X . If the mean and variance of the elements of Y are 30 and 750, respectively, then the sum of all possible values of b is

JEE Main 2026 Solution View → 13

The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observations in this data is replaced by , then the mean and variance become 10.1 and 1.99, res

JEE Main 2026 Solution View → 14

If the mean and the variance of the data ( array |c|c|c|c|c| Class & 4 - 8 & 8 - 12 & 12 - 16 & 16 - 20 Frequency & 3 & & 4 & 7 array ) are and 19 respectively, then the value of +

JEE Main 2026 Solution View → 15

Let the mean and variance of 8 numbers -10,-7,-1, x, y, 9,2,16 be 7 2 and 293 4 , respectively. Then the mean of 4 numbers x, y, x+y+1,|x-y| is :

JEE Main 2026 Solution View → 16

If the mean deviation about the median of the numbers k , 2 k , 3 k , . ., 1000 k is 500, then k ² is equal to :

JEE Main 2026 Solution View → 17

Let the mean and variance of 7 observations 2,4,10, x, 12,14, y, x>y , be 8 and 16 respectively. Two numbers are chosen from 1,2,3, x-4, y, 5 one after another without replacement,

JEE Main 2026 Solution View → 18

Consider the following frequency distribution : Value 4 5 8 9 6 12 11 Frequency 5 f₁ f₂ 2 1 1 3 Suppose that the sum of the frequencies is 19 and the median of this frequency distr

JEE Advanced 2025 Solution View → 19

The mean and standard deviation of 100 observations are 40 and 5.1 , respectively, By mistake one observation is taken as 50 instead of 40. If the correct mean and the correct stan

JEE Main 2025 Solution View → 20

Let the mean and the standard deviation of the observation 2,3,3,4,5,7 , a, b be 4 and 2 respectively. Then the mean deviation about the mode of these observations is :

JEE Main 2025 Solution View → 21

Let the Mean and Variance of five observations x₁=1, x₂=3, x₃=a, x₄=7 and x₅=b, a b , be 5 and 10 respectively. Then the Variance of the observations n+x_n, n=1,2, . .5 is

JEE Main 2025 Solution View → 22

If the mean and the variance of 6,4, a, 8, b, 12,10 , 13 are 9 and 9.25 respectively, then a+b+a b is equal to :

JEE Main 2025 Solution View → 23

Let (x₁, x₂, , x₁₀ ) be ten observations such that ( _ i=1 ¹⁰ (x_i-2 )=30, _ i=1 ¹⁰ (x_i- )^2=98, 2 ), and their variance is ( 4 5 ). If ( ) and ( ^2 ) are respectively the mean an

JEE Main 2025 Solution View → 24

For a statistical data x ₁, x ₂, , x ₁₀ of 10 values, a student obtained the mean as 5.5 and _ i=1 ¹⁰ x_i^2=371 . He later found that he had noted two values in the data incorrectl

JEE Main 2025 Solution View → 25

The variance of the numbers 8,21,34,47, , 320 is

JEE Main 2025 Solution View → 26

Marks obtains by all the students of class 12 are presented in a freqency distribution with classes of equal width. Let the median of this grouped data be 14 with median class inte

JEE Main 2025 Solution View → 27

Let X be a random variable, and let P(X=x) denote the probability that X takes the value x . Suppose that the points (x, P(X=x)), x=0,1,2,3,4 , lie on a fixed straight line in the

JEE Advanced 2024 Solution View → 28

If the variance of the frequency distribution array |c|c|c|c|c|c|c| x & c & 2 c & 3 c & 4 c & 5 c & 6 c f & 2 & 1 & 1 & 1 & 1 & 1 array is 160, then the value of c N is

JEE Main 2024 Solution View → 29

The frequency distribution of the age of students in a class of 40 students is given below. array |l|c|c|c|c|l|l| Age & 15 & 16 & 17 & 18 & 19 & 20 No of Students & 5 & 8 & 5 & 12

JEE Main 2024 Solution View → 30

Let a , b , c N and a < b < c . Let the mean, the mean deviation about the mean and the variance of the 5 observations 9,25, a , b , c be 18,4 and 136 5 , respectively. Then 2 a +

JEE Main 2024 Solution View → 31

The mean and standard deviation of 20 observations are found to be 10 and 2 . respectively. On rechecking, it was found that an observation by mistake was taken 8 instead of 12. Th

JEE Main 2024 Solution View → 32

Let the mean and the standard deviation of the probability distribution array |c|c|c|c|c| X & & 1 & 0 & -3 P ( X ) & 1 3 & ~K & 1 6 & 1 4 array be and , respectively. If - =2 , the

JEE Main 2024 Solution View → 33

From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable X denote the number of defective items in the sample. If th

JEE Main 2024 Solution View → 34

If the mean of the following probability distribution of a random variable X : array |c|c|c|c|c|c| X & 0 & 2 & 4 & 6 & 8 P ( X ) & a & 2 a & a+b & 2 b & 3 b array is 46 9 , then th

JEE Main 2024 Solution View → 35

Let , R . Let the mean and the variance of 6 observations -3,4,7,-6, , be 2 and 23 , respectively. The mean deviation about the mean of these 6 observations is :

JEE Main 2024 Solution View → 36

Consider 10 observation x 1 , x 2 , . .. x 10 , such that ∑ i = 1 10 x i − α = 2 and ∑ i = 1 10 x i − β 2 = 40 , where α , β are positive integers. Let the mean and the variance of

JEE Main 2024 Solution View → 37

Let the median and the mean deviation about the median of 7 observation 170 , 125 , 230 , 190 , 210 , a , b be 170 and 205 7 respectively. Then the mean deviation about the mean of

JEE Main 2024 Solution View → 38

Let the mean and the variance of 6 observation a , b , 68 , 44 , 48 , 60 be 55 and 194 , respectively if a > b , then a + 3 b is

JEE Main 2024 Solution View → 39

If the variance σ 2 of the data x i 0 1 5 6 10 12 17 f i 3 2 3 2 6 3 3 is k then the value of k is ______ where . denotes the greatest integer funciton

JEE Main 2024 Solution View → 40

Let M denote the median of the following frequency distribution. Class 0 - 4 4 - 8 8 - 12 12 - 16 16 - 20 Frequency 3 9 10 8 6 Then 20 M is equal to :

JEE Main 2024 Solution View → 41

If the mean and variance of five observations are 24 5 and 194 25 respectively and the mean of first four observations is 7 2 , then the variance of the first four observations in

JEE Main 2024 Solution View → 42

If the mean and variance of the data 65 , 68 , 58 , 44 , 48 , 45 , 60 , α , β , 60 where α > β are 56 and 66 . 2 respectively, then α 2 + β 2 is equal to

JEE Main 2024 Solution View → 43

The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation was read as 10 in place of 12 . If μ and σ

JEE Main 2024 Solution View → 44

Let a 1 , a 2 , . . . , a 10 be 10 observations such that ∑ k = 1 10 a k = 50 and ∑ ∀ k < j a k · a j = 1100 . Then the standard deviation of a 1 , a 2 , … , a 10 is equal to :

JEE Main 2024 Solution View → 45

Consider the given data with frequency distribution x i 3 8 11 10 5 4 f i 5 2 3 2 4 4 Match each entry in List-I to the correct entries in List-II. List-I List-II P The mean of the

JEE Advanced 2023 Solution View → 46

The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on, it was observed that one observation was recorded as 50 instead of 40 . Then the correct var

JEE Main 2023 Solution View → 47

The mean and standard deviation of the marks of 10 students were found to be 50 and 12 respectively. Later, it was observed that two marks 20 and 25 were wrongly read as 45 and 50

JEE Main 2023 Solution View → 48

Let the mean of the data x 1 3 5 7 9 Frequency f 4 24 28 &#945; 8 be 5 . If m and &#963; 2 are respectively the mean deviation about the mean and the variance of the data, then 3 &

JEE Main 2023 Solution View → 49

Let the positive numbers a 1 , a 2 , a 3 , a 4 and a 5 be in a G.P. Let their mean and variance be 31 10 and m n respectively, where m and n are co-prime. If the mean of their reci

JEE Main 2023 Solution View → 50

Let the mean of 6 observations 1 , 2 , 4 , 5 , x and y be 5 and their variance be 10 . Then their mean deviation about the mean is equal to

JEE Main 2023 Solution View → 51

Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets A and B be 12 and 20 respective

JEE Main 2023 Solution View → 52

Let &#956; be the mean and &#963; be the standard deviation of the distribution X i 0 1 2 3 4 5 f i k + 2 2 k k 2 - 1 k 2 - 1 k 2 + 1 k - 3 where &#931; f i = 62 . If x denotes the

JEE Main 2023 Solution View → 53

If the mean of the frequency distribution Class : 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Frequency : 2 3 x 5 4 is 28 , then its variance is ________ .

JEE Main 2023 Solution View → 54

Let the mean and variance of 12 observations be 9 2 and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively

JEE Main 2023 Solution View → 55

Let the mean and variance of 8 numbers x , y , 10 , 12 , 6 , 12 , 4 , 8 be 9 and 9 . 25 respectively. If x &#62; y , then 3 x - 2 y is equal to _ _ _ _ _ _ _

JEE Main 2023 Solution View → 56

If the mean and variance of the frequency distribution x i 2 4 6 8 10 12 14 16 f i 4 4 &#945; 15 8 &#946; 4 5 are 9 and 15 . 08 respectively, then the value of &#945; 2 + &#946; 2

JEE Main 2023 Solution View → 57

The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and &#963; 2 respectively. If the variance of all

JEE Main 2023 Solution View → 58

Let 9 = x 1 &#60; x 2 &#60; &#8230; &#60; x 7 be in an A.P. with common difference d . If the standard deviation of x 1 , x 2 &#8230; , x 7 is 4 and the mean is x &#175; , then x &

JEE Main 2023 Solution View → 59

The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1 , 3 , 5 , then the sum of cubes of the remaining two observations is

JEE Main 2023 Solution View → 60

Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and &#945; &#62; 0 , and the mean and standard deviation of marks of class B of n student

JEE Main 2023 Solution View → 61

If the variance of the frequency distribution x i 2 3 4 5 6 7 8 Frequency f i 3 6 16 &#945; 9 5 6 is 3 , then &#945; is equal to

JEE Main 2023 Solution View → 62

Let S be the set of all values of a 1 for which the mean deviation about the mean of 100 consecutive positive integers a 1 , a 2 , a 3 , &#8230; . , a 100 is 25 . Then S is

JEE Main 2023 Solution View → 63

The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted, a and b are respectively mean and variance of remaining 6 observation, then a +

JEE Main 2023 Solution View → 64

Let X = 11 , 12 , 13 , &#8230; . , 40 , 41 and Y = 61 , 62 , 63 , . . . , 90 , 91 be the two sets of observations. If x &#175; and y &#175; are their respective means and &#963; 2

JEE Main 2023 Solution View → 65

The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12 . If the new mean

JEE Main 2023 Solution View → 66

Let the six numbers a 1 , a 2 , . . . , a 6 be in A . P . and a 1 + a 3 = 10 .If the mean of these six numbers is 19 2 and their variance is &#963; 2 , then 8 &#963; 2 is equal to

JEE Main 2023 Solution View → 67

Let the mean and the variance of 20 observations x 1 , x 2 , &#8230; x 20 be 15 and 9 , respectively. For &#945; &#8712; R , if the mean of x 1 + &#945; 2 , x 2 + &#945; 2 , &#8230

JEE Main 2022 Solution View → 68

The mean and variance of 10 observations were calculated as 15 and 15 respectively by a student who took by mistake 25 instead of 15 for one observation. Then, the correct standard

JEE Main 2022 Solution View → 69

The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If &#963; is the standa

JEE Main 2022 Solution View → 70

If the mean deviation about median for the number 3 , 5 , 7 , 2 k , 12 , 16 , 21 , 24 arranged in the ascending order, is 6 then the median is

JEE Main 2022 Solution View → 71

The number of values of a &#8712; N such that the variance of 3 , 7 , 12 , a , 43 - a is a natural number is:

JEE Main 2022 Solution View → 72

Let the mean and the variance of 5 observations x 1 , x 2 , x 3 , x 4 , x 5 be 24 5 and 194 25 respectively. If the mean and variance of the first 4 observation are 7 2 and a respe

JEE Main 2022 Solution View → 73

Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62 , and their variance is 20 . A student fails in the examination if he/she g

JEE Main 2022 Solution View → 74

The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations, 20 was misread as 5 . Then, the corre

JEE Main 2022 Solution View → 75

The mean and variance of the data 4 , 5 , 6 , 6 , 7 , 8 , x , y where x &#60; y are 6 and 9 4 respectively. Then x 4 + y 2 is equal to

JEE Main 2022 Solution View → 76

Let the mean of 50 observations is 15 and the standard deviation is 2 . However, one observation was wrongly recorded. The sum of the correct and incorrect observations is 70 . If

JEE Main 2022 Solution View → 77

The mean of the numbers a , b , 8 , 5 , 10 is 6 and their variance is 6 . 8 . If M is the mean deviation of the numbers about the mean, then 25 M is equal to

JEE Main 2022 Solution View → 78

If the mean deviation about the mean of the numbers 1 , 2 , 3 , &#8230; &#8230; , n , where n is odd, is 5 n + 1 n , then n is equal to ______.

JEE Main 2022 Solution View → 79

The mean and variance of 7 observations are 8 and 16 respetively. If two observations are 6 and 8 , then the variance of the remaining 5 observations is :

JEE Main 2021 Solution View → 80

The mean of 10 numbers 7 &#215; 8 , 10 &#215; 10 , 13 &#215; 12 , 16 &#215; 14 , &#8230; is

JEE Main 2021 Solution View → 81

An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2 . The variance of marks obtained by 30 girls is al

JEE Main 2021 Solution View → 82

Let n be an odd natural number such that the variance of 1 , 2 , 3 , 4 , &#8230; , n is 14 . Then n is equal to ________.

JEE Main 2021 Solution View → 83

Let the mean and variance of four numbers 3 , 7 , x and y ( x &#62; y ) be 5 and 10 respectively. Then the mean of four numbers 3 + 2 x , 7 + 2 y , x + y and x - y is ______.

JEE Main 2021 Solution View → 84

The mean and standard deviation of 20 observations were calculated as 10 and 2 . 5 respectively. It was found that by mistake one data value was taken as 25 instead of 35 . If &#94

JEE Main 2021 Solution View → 85

Let the mean and variance of the frequency distribution x : x 1 = 2 x 2 = 6 x 3 = 8 x 4 = 9 f : 4 4 &#945; &#946; be 6 and 6 . 8 respectively. If x 3 is changed from 8 to 7 , then

JEE Main 2021 Solution View → 86

If the mean and variance of the following data: 6 , 10 , 7 , 13 , a , 12 , b , 12 are 9 and 37 4 respectively, then a - b 2 is equal to:

JEE Main 2021 Solution View → 87

The first of the two samples in a group has 100 items with mean 15 and standard deviation 3 . If the whole group has 250 items with mean 15 . 6 and standard deviation 13 . 44 , the

JEE Main 2021 Solution View → 88

Consider the following frequency distribution : class 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Frequency &#945; 110 54 30 &#946; If the sum of all frequencies is 584 and median is 4

JEE Main 2021 Solution View → 89

Consider the following frequency distribution: Class: 0 - 6 6 - 12 12 - 18 18 - 24 24 - 30 Frequency: a b 12 9 5 If mean = 309 22 and median = 14 , then the value ( a - b ) 2 is eq

JEE Main 2021 Solution View → 90

If the mean and variance of six observations 7 , 10 , 11 , 15 , a , b are 10 and 20 3 , respectively, then the value of | a - b | is equal to:

JEE Main 2021 Solution View → 91

The mean of 6 distinct observations is 6 . 5 and their variance is 10 . 25 . If 4 out of 6 observations are 2 , 4 , 5 and 7 , then the remaining two observations are:

JEE Main 2021 Solution View → 92

Let in a series of 2 n observations, half of them are equal to a and remaining half are equal to - a . Also by adding a constant b in each of these observations, the mean and stand

JEE Main 2021 Solution View → 93

The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this s

JEE Main 2021 Solution View → 94

Consider a set of 3 n numbers having variance 4 . In this set, the mean of first 2 n numbers is 6 and the mean of the remaining n numbers is 3 . A new set is constructed by adding

JEE Main 2021 Solution View → 95

Consider the statistics of two sets of observations as follows: Size Mean Variance Observation I 10 2 2 Observation II n 3 1 If the variance of the combined set of these two observ

JEE Main 2021 Solution View → 96

Consider three observations a , b and c such that b = a + c . If the standard deviation of a + 2 , c + 2 is d , then which of the following is true?

JEE Main 2021 Solution View → 97

Let X 1 , X 2 , &#8230; , X 18 be eighteen observations such that &#8721; i = 1 18 X i - &#945; = 36 and &#8721; i = 1 18 X i - &#946; 2 = 90 , where &#945; and &#946; are distinct

JEE Main 2021 Solution View → 98

If the variance of 10 natural numbers 1 , 1 , 1 , &#8230; , 1 , k is less than 10 , then the maximum possible value of k is ___________.

JEE Main 2021 Solution View → 99

Consider the data on x taking the values 0 , 2 , 4 , 8 , . . . . . , 2 n with frequencies C 0 n , C 1 n , C 2 n , . . . . , C n n respectively. If the mean of this data is 728 2 n

JEE Main 2020 Solution View → 100

If &#931; i = 1 n x i - a = n and &#931; i = 1 n x i - a 2 = n a , n , a &#62; 1 , then the standard deviation of n observations x 1 , x 2 , &#8230; , x n is

JEE Main 2020 Solution View → 101

If the mean and the standard deviation of the data 3 , 5 , 7 , a , b are 5 and 2 respectively, then a and b are the roots of the equation:

JEE Main 2020 Solution View → 102

The mean and variance of 7 observations are 8 and 16 , respectively. If five observations are 2 , 4 , 10 , 12 , 14 then the absolute difference of the remaining two observations is

JEE Main 2020 Solution View → 103

If the variance of the following frequency distribution: Class: 10 - 20 &#160; &#160; &#160; &#160; &#160; &#160; &#160; &#160; 20 - 30 &#160; &#160; &#160; &#160; &#160; &#160; &#

JEE Main 2020 Solution View → 104

The mean and variance of 8 observations are 10 and 13 . 5 , respectively. If 6 of these observations are 5 , 7 , 10 , 12 , 14 , 15 , then the absolute difference of the remaining t

JEE Main 2020 Solution View → 105

Let x i 1 &#8804; i &#8804; 10 be ten observation of a random variable X . If &#8721; i = 1 10 x i - p = 3 and &#8721; i = 1 10 x i - p 2 = 9 where 0 &#8800; p &#8712; R , then the

JEE Main 2020 Solution View → 106

For the frequency distribution: Variate x : x 1 , x 2 , x 3 , &#8230; , x 15 Frequency f : f 1 , f 2 , f 3 , &#8230; , f 15 where 0 &#60; x 1 &#60; x 2 &#60; x 3 &#60; &#8230; &#60

JEE Main 2020 Solution View → 107

If the variance of the terms in an increasing A . P . b 1 b 2 , b 3 , &#8230; &#8230; . . , b 11 is 90 then the common difference of this A . P . is

JEE Main 2020 Solution View → 108

Let X = x &#8712; N : 1 &#8804; x &#8804; 17 and Y = a x + b : x &#8712; X and a , b &#8712; R , a &#62; 0 . If mean and variance of elements of Y are 17 and 216 respectively then

JEE Main 2020 Solution View → 109

Let the observation x i 1 &#8804; i &#8804; 10 satisfy the equations &#8721; i = 1 10 x i - 5 = 10 , &#8721; i = 1 10 x i - 5 2 = 40 . If &#956; and &#955; are the mean and the var

JEE Main 2020 Solution View → 110

The mean and variance of 20 observations are found to be 10 and 4 , respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11

JEE Main 2020 Solution View → 111

The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 respectively. Each of these 10 observations is multiplied by p and then reduced by q , where p &#8800; 0

JEE Main 2020 Solution View → 112

If the mean and variance of eight numbers 3 , 7 , 9 , 12 , 13 , 20 , x and y be 10 and 25 respectively, then x &#183; y is equal to

JEE Main 2020 Solution View → 113

If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16 , then the value of m + n is equal to

JEE Main 2020 Solution View → 114

The mean of a data set comprising of 16 observations is 16 . If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then

NTA Abhyas JEE Main 2020 Solution View → 115

The average of five consecutive odd numbers is 61. Then the difference between the highest and lowest numbers is

NTA Abhyas JEE Main 2020 Solution View → 116

The mean and variance of 20 observations are found to be 10 and 4 , respectively. On rechecking, it was found that an observation 9 was incorrect and the correct observation was 11

NTA Abhyas JEE Main 2020 Solution View → 117

The variance of the numbers 2 , 3 , 11 and x is 49 4 , then the values of x are

NTA Abhyas JEE Main 2020 Solution View → 118

If the variance of the following data : 6 , &#160; 8 , &#160; 10 , &#160; 12 , &#160; 14 , &#160; 16 , &#160; 18 , &#160; 20 , &#160; 22 , &#160; 24 is K , then the value of K 11 i

NTA Abhyas JEE Main 2020 Solution View → 119

Coefficient of variation of two distributions are 60 % and 75 % , and their standard deviation are 18 and 15 respectively, then their arithmetic means respectively are

NTA Abhyas JEE Main 2020 Solution View → 120

The mean and standard deviation of 100 observations were calculated as 40 and 5.1 , respectively by a student who took by mistake 50 instead of 40 for one observation, then the cor

NTA Abhyas JEE Main 2020 Solution View →
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