A consumer research group purchased identical items in eight grocery stores. The costs for the purchased items were $ 46.03 , $ 52.17 , $ 41.62 , $ 40.85 , $ 48.81 , $ 42.64 , $ 47.91 , and $ 45.97 . Calculate the mean and the median costs of the purchased items. Round your answers to four decimal places.
A) Mean: $ 45.7500 ; median: $ 45.7500
B) Mean: $ 52.2857 ; median: $ 46.0000
C) Mean: $ 46.0000 ; median: $ 46.0000
D) Mean: $ 45.7500 ; median: $ 46.0000
E) Mean: $ 46.0000 ; median: $ 45.7500

Question

A consumer research group purchased identical items in eight grocery stores. The costs for the purchased items were $ 46.03 , $ 52.17 , $ 41.62 , $ 40.85 , $ 48.81 , $ 42.64 , $ 47.91 , and $ 45.97 . Calculate the mean and the median costs of the purchased items. Round your answers to four decimal places. ​
A) Mean: $ 45.7500 ; median: $ 45.7500
B) Mean: $ 52.2857 ; median: $ 46.0000
C) Mean: $ 46.0000 ; median: $ 46.0000
D) Mean: $ 45.7500 ; median: $ 46.0000
E) Mean: $ 46.0000 ; median: $ 45.7500

Quizplus · Accepted Answer

To calculate the mean, we add up all the costs and divide by the number of items:

(46.03 + 52.17 + 41.62 + 40.85 + 48.81 + 42.64 + 47.91 + 45.97) / 8 = 45.75

To calculate the median, we need to find the middle value in the list. First, we need to put the values in order:

40.85, 41.62, 42.64, 45.97, 46.03, 47.91, 48.81, 52.17

The middle two values are 46.03 and 47.91, so we take the average of those two:

(46.03 + 47.91) / 2 = 46.00

Therefore, the best choice is D, with the mean of $45.7500 and the median of $46.0000.

A Consumer Research Group Purchased Identical Items in Eight Grocery