Question

QUESTION 9 From a sample of size 100, the following descriptive measures were calculated: median 23, mean 20, standard deviation 5, range 35; seventy-five- sample values are between 10 and 30; and ninety-nine sample values are between 5 and 35. If you knew the sample mean, median, and standard deviation were correct, which one of the following conclusions might you draw? O A.The distribution is skewed to the right because the median exceeds the mean. B.The number of sample values between 10 and 30 was miscounted. O C.The range must have been calculated incorrectly because it should not be seven times the standard deviation's value. O D.The number of sample values between 5 and 35 must have been miscounted because all 100 values must be in this interval

Help with #9 please!

Answer 1

Answer

(A) this is not the right answer because the median and mean are close to each. So, we can say that the distribution is right skewed.

(B) We dont know about the number of samples, so we can never tell whether there is any miscalculation or not. So, it is not the right answer

(C) we know that range is equal to 4 times of the standard deviation (By range of rule of thumb)

Here range is 35 and standard deviation is 5

So, range is seven times, which is a violation of range rule of thumb

so, option C is answer

(D) we can not say that all 100 values must be within 5 and 35 because we dont know what are the minimum and maximum values for the data set

so, it is not the right answer