Mathematics: The table lists the number of items that 5 shops sold on a particular day. what is the mean absolute deviation of this data set? a. 3.2 b. 4 c. 6.4 d. 9 e. 12.6

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The table lists the number of items that 5 shops

reneebrown017

11.03.2022

The correct answer option is C. 6.4

Step-by-step explanation:

First of all we need to find the mean of the given data set.

Mean = $\frac{32+26+43+38+46}{5}$

Mean = $\frac{185}{5}$

Mean = 37

To find the absolute mean deviation, we will use the following formula:

Mean Deviation = ∑ | x - μ | / N

To find ∑ | x - μ |, we will find the difference of each value from the mean.

|32-37| = 5

|26-37| = 11

|43-37| = 6

|38-37| = 1

|46-37| = 9

∑ | x - μ | = 5 + 11 + 6 + 1 + 9 = 32

∑ | x - μ | / N = 32 / 5 = 6.4

Therefore, the absolute mean deviation for this data set is 6.4.

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