Question

Reggie recorded the number of pages he read each day for five days.!!ROUND YOUR ANSWER TO THE NEAREST TENTHS!!

Answer 1

Given:

Mean, x = 32

number of data, n = 5

From the plot, we have the following:

Number of pages Frequency

25 2

32 1

36 1

42 1

Sum up the distance between each data point and the mean using the absolute value and divide by the number of data(n).

To find the measn absolute devialtion, apply the formula:

`\text{MAD}=(\Sigma|x_i-x|)/(n)`

Thus, we have:

`\text{MAD=}(|25-32|+|25-32|+|32-32|+|36-32|+|42-32|)/(5)`

Solving further:

`\begin{gathered} \text{MAD}=(|-7|+|-7|+|0|+|4|+|10|)/(5) \\ \\ \text{MAD}=(7+7+0+4+10)/(5) \\ \\ \text{MAD}=(28)/(5) \\ \\ \text{MAD}=5.6 \end{gathered}`

Therefore, the mean absolute deviation of the data is 5.6

ANSWER:

5.6