Question

If median and mean of the first 10 prime
numbers are M and m, respectively,
then
da) M=m
(b) M>m
(c) M<m
(d) None of the above​

Answer 1

b) M>m

M = 12

m = 11.9

$\frac{2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29}{10}$

$\frac{11 + 13}{2}$

Answer 2

M>m would be the answer

1) The first ten prime numbers are :-2,3,5,7,11,13,17,19,23,29.

2) The formula to calculate median for even number of observations is :- M = $\frac{x_{n/2}+x_{(n+2)/2} }{2}$

3) Here, n is 10. so $x_{n/2}$ is 11 and  $x_{(n+2)/2}$ is 13.

Hence Median M of data is 12.

4) Mean of the data would be sum of all numbers/ 10= 129/10 = 12.9.

5) Hence, M>m.