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Brenda's sister Kelly is getting married next year, and Brenda is a junior bridesmaid. She accompanies the wedding party on a trip to $6$ different bridal shops to help Kelly find the perfect dress. Kelly tries on at least $2$ dresses at each shop. The mean number of dresses she tries on is about $7$ dresses, and the mean absolute deviation is about $3$ dresses. Eventually, Kelly has to pick between her $5$ favorite dresses. $\newline$ By how much did the number of dresses Kelly tried on at each store typically vary? $\newline$ Choices: $\newline$ (A) $2$ dresses $\newline$ (B) $3$ dresses $\newline$ (C) $5$ dresses $\newline$ (D) $7$ dresses

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Interpret measures of center and variability

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Q. Brenda's sister Kelly is getting married next year, and Brenda is a junior bridesmaid. She accompanies the wedding party on a trip to

6

different bridal shops to help Kelly find the perfect dress. Kelly tries on at least

2

dresses at each shop. The mean number of dresses she tries on is about

7

dresses, and the mean absolute deviation is about

3

dresses. Eventually, Kelly has to pick between her

5

favorite dresses.

\newline

By how much did the number of dresses Kelly tried on at each store typically vary?

\newline

Choices:

\newline

(A)

2

dresses

\newline

(B)

3

dresses

\newline

(C)

5

dresses

\newline

(D)

7

dresses

Understand Mean Absolute Deviation: Understand the concept of mean absolute deviation. Mean absolute deviation represents the average distance between each data point and the mean of the data set.
Identify Mean Absolute Deviation: Identify the mean absolute deviation from the problem statement. $\newline$ The mean absolute deviation given is about $3$ dresses.
Relate to Variability: Relate mean absolute deviation to the variability of the number of dresses tried on. $\newline$ The mean absolute deviation of $3$ dresses indicates that, on average, the number of dresses Kelly tried on at each store deviated from the mean by $3$ dresses.

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