Question

A teacher is deciding which measure of center describes the recent test scores of his Geography class. He asks his teammates to help him

decide.
The test scores are as follows: 47, 47, 47, 56, 56, 56, 61, 61, 75, 75, 75, 81, 81, 81.
Eden says he should pick the median. Chen says he should pick the mean. Emma says he should pick the mode. Benjamin says it
does not matter, so he could pick the mean or the median.
Asse
which teammate is right and why?
Answers:a-eden is right because it is skewed to the right. B-Chen is right because it’s skewed left. C-Emma is right because it is symmetric. D-Benjamin is because it is symmetric. E-None are right

Answer 1

D-Benjamin is right because it is symmetric.

Explanation:

Given series of test score were 47, 47, 47, 56, 56, 56, 61, 61, 75, 75, 75, 81, 81, 81.

By adding up the all elements and dividing by 14 ( the total number of elements) we can get the Mean value

By pick the centre/middle value from the series we can get the Median value The number 47,56,75 and 81 appears 3 times in this series., so we cannot able to compute mode ., so Benjamin is right.