windofchange wrote:
A store received 7 crates of oranges. What was the standard deviation of the numbers of oranges in the 7 crates?
(1) For the 7 crates of oranges, the median of the numbers of oranges was equal to the greatest of the numbers of oranges.
(2) For the 7 crates of oranges, the range of the numbers of oranges was 0.
My approach:
Statement 1: The numbers of oranges in the 7 crates are n1, n2, n3, n4, n4, n4, n4, so we can't determine the SD. Hence insufficient.
Statement 2: We are given that the range of the numbers of oranges was 0, so can I say that all the numbers of oranges are of the same value? If it is the case, then the SD = 0. Sufficient.
Please confirm if my reasoning is correct.
Thank you.
My reasoning is as follows
set ={a,b,c,5,5,5,5}where 5 is the median as well as the highest number of oranges in crate.
Hence it can't be determined. Nothing about about lowest value in set i.e a
I is insufficient.
But from II it is known 5-a=0, so all the crates had same number of oranges, sufficient to see SD =0