Question

Select all the correct answers.
Henry wants to compare the weekly average sales of two stores that sell flowers. The table shows the daily sales at each store for a week. Which statements correctly describe the two data sets?

Store A Sales ($) Store B Sales ($)
210 193
190 221
234 208
186 197
221 256
270 231
201 199
The mean absolute deviation for store A’s sales is $15.
The mean absolute deviation for store B’s sales is $18.
The difference of the means is about one-tenth of the mean absolute deviation of either data set.
The difference of the means is about one-twentieth of the mean absolute deviation of either data set.

Answer 1

Answer: B and D or 2 and 4

Step-by-step explanation:

1. is NOT correct as the mean absolute deviation is 22 not 15

2. is CORRECT the mean absolute deviation is 18

the mean of A is 216

the mean of B is 215

one tenth of 215/216 is 21.5/21.6 that is about the absolute mean deviation which 18/22

Which makes one tenth the wrong answer.

This is also makes one twentieth the correct answer

Answer 2

The answers are The mean absolute deviation for store B’s sales is $18 and The difference of the means is about one-twentieth of the mean absolute deviation of either data set.

What is Mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

1. is NOT correct as the mean absolute deviation is 22, not 15

2. is CORRECT the mean absolute deviation is 18

The mean of A is 216

M = ( 210 + 190 + 234 + 186 + 221 + 270 + 201) / 7 = 216

The mean of B is 215

M= ( 193 + 221 + 208 + 197 +  256 + 231 + 199 ) / 7 = 215

One-tenth of 215/216 is 21.5/21.6 which is about the absolute mean deviation which is 18/22

Which makes one-tenth the wrong answer.

This also makes one-twentieth the correct answer

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