NDA2021MathematicsStatisticsActual
For the set of numbers x, x, x+2, x+3, x+10 where x is a natural number, which of the following is/are correct? 1. Mean Mode 2. Median Mean Select the correct answer using the code given below.
Options
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Correct answer
A. 1 only
Step-by-step solution
Natural numbers : x x, x+2, x+3, x+10 Mode = Most number of times repeated number Mode =x Mean of the numbers, aligned & Mean = x+x+x+2+x+3+x+10 5 & x = 5 x+15 5 =x+3 aligned Median of the numbers, Numbers in ascending order : aligned & x, x, x+2, x+3, x+10 & n=5 (i.e. odd numbers) & M = ( n+1 2 )^ th observation & = ( 5+1 2 )^ th observation =3^ rd observation & M =x+2 aligned Hence, Mean Median Mode