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miskamm [114]
2 years ago
11

The dot plot shows the number of books lent by a school library during a 10-day period.

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
6 0

The mean absolute deviation of the number of books is 1.84

<h3>How to determine the mean absolute deviation?</h3>

The dot plot of the number of books is in the attached figure.

From the figure, we have:

x      f

1       1

2      2

3      2

4      3

5      1

6     2

7     3

8     1

Start by calculating the mean using:

\bar x= \frac{\sum fx}{\sum f}

So, we have:

\bar x= \frac{1 * 1 + 2 * 2 + 2 * 3 + 3 * 4 + 1 * 5 + 2 * 6 + 3 *7 + 1 * 8}{1 +2+2+3+1+2+3+1}

Evaluate the sum and products

\bar x= \frac{69}{15}

Divide

\bar x= 4.6

The mean absolute deviation is then calculated as:

|\bar x| = \frac{\sum f|x - \bar x|}{\sum f}

So, we have:

|\bar x|= \frac{1 * |1 -4.6|+ 2 * |2 -4.6| + 2 * |3 -4.6|+ 3 * |4 -4.6|+ 1 *| 5 -4.6|+ 2 * |6 -4.6|+ 3 *|7 -4.6|+ 1 * |8-4.6|}{1 +2+2+3+1+2+3+1}

Evaluate the absolute difference

|\bar x|= \frac{1 * 3.6+ 2 * 2.6 + 2 * 1.6+ 3 * 0.6+ 1 *0.4+ 2 * 1.4+ 3 *2.4+ 1 * 3.4}{15}

Evaluate the sum of products

|\bar x|= \frac{27.6}{15}

Divide

|\bar x|= 1.84

Hence, the mean absolute deviation of the number of books is 1.84

Read more about mean absolute deviation at:

brainly.com/question/3250070

#SPJ1

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