Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Statistics

NDA 2019 · Mathematics · Statistics

Consider the following discrete frequency distribution: array...

Consider the following discrete frequency distribution: x12345678f31545575036259\begin{array}{lcccccccc} \mathrm{x} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \mathrm{f} & 3 & 15 & 45 & 57 & 50 & 36 & 25 & 9 \end{array}$ What is the value of median of the distribution?

Options

  1. A4
  2. B5
  3. C6
  4. D7

Correct answer

B. 5

Step-by-step solution

xfcumulative&frequency133215183456345712055017063620672523189240Σf=240=N\Median=(N+12)th data=120.5th data=5\begin{array}{lcc}x & f & cumulative \& & frequency \\1 & 3 & 3 \\2 & 15 & 18 \\3 & 45 & 63 \\4 & 57 & 120 \\5 & 50 & 170 \\6 & 36 & 206 \\7 & 25 & 231 \\8 & 9 & 240 \Sigma f=240=N \Median =\left(\frac{N+1}{2}\right)^{\text{th }} data \\=120.5^{\text{th }} data \\=5\end{array}
Practice Statistics on Quantrex Academy →

More from Statistics

Let two lines of regression be x+y+11=0 and 2x+3y+4=0 for some data. What is the value of… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026The standard deviation of 100 observations is 10 . If 5 is multiplied to each of the… NDA 2026Passage: The frequency distribution of marks obtained by 100 students in a certain… NDA 2026If the mean of 20 observations, namely x_1,x_2,x_3,…,x_ 20 is 1·414 , then what is the… NDA 2026If the random variable X has mean 3 and standard deviation 5 , then what is the variance… NDA 2026The standard deviation of 100 observations is 10. If 20 is added to each observation… NDA 2025Consider the following statements: I. Mean and variance have the same unit of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation… NDA 2025The standard deviation of 100 observations is 10. If 5 is added to each observation and… NDA 2025Consider the following for the two (02) items that follow: The sum and the sum of squares… NDA 2025Consider the following for the four (04) items that follow: The frequency distribution of… NDA 2025The frequency distribution of the marks obtained by students in a Science examination is… NDA 2025 Full Statistics list Statistics JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs