Question

If n is an odd, prime integer and 10n19, which is true about the mean of all possible values of n? 0 A. It is greater than the median and greater than the mode. O B. It is greater than the median. ○ C. It is equal to the median. D. It is less than the median.

Answer 1

B. It is greater than the median.

Explanation:

If n is an odd, prime integer and 10<n<19, then the true statements about the mean of all possible values of n are:

B. It is greater than the median.

Here, n can be 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18.

But as n is odd , it can be 11, 13, 15 and 17.

And also it is given that n is prime, so we will cancel out 15.

Now we are left with 11, 13 and 17.

Their mean is =
`(11+13+17)/(3)` = 13.66

Median is 13, that is smaller than 13.66.

So, we can see that the mean is greater than median.