Ricardo collected data on the prices of items at two gift shops in his town. He rounded each price to the nearest dollar and displayed the prices in the line plots below.
Store A Prices (Nearest $)
Store B Prices (Nearest $)
The mean absolute deviation for both stores is approximately 1.2
. How many times as great as the MAD is the difference in means for the two stores? Round to the nearest tenth.
Responses
A. 5.4
B. 5.8
C. 7
D. 14.5
To find the difference in means for the two stores, we first need to find the mean price for each store.
Store A:
Mean = (3 + 4 + 5 + 6 + 7 + 8 + 9)/7
Mean = 42/7
Mean = 6
Store B:
Mean = (1 + 2 + 3 + 4 + 5)/5
Mean = 15/5
Mean = 3
Difference in means = |6 - 3| = 3
Now, we know that the mean absolute deviation for both stores is approximately 1.2. Therefore, the difference in means is 3 times as great as the MAD.
3 / 1.2 = 2.5
Therefore, the answer is not one of the provided options.