Chapter 1.2, Problem 55E

To determine

To make: a histogram to display the data and write a paragraph describing the distribution

Answer to Problem 55E

  

Explanation of Solution

Given:

40	26	59	14	42	18	25	45	46	27	19
47	19	26	55	54	15	44	40	58	51	46
52	25	55	55	55	29	54	41	49	28	52
47	55	48	22	55	41	51	27	14	54	45

Calculation:

The Histogram of DRP scores of 44 students of third grade using classes of width 6 scores, starting at 12 scores. That is the first class is 12 to 18 scores, the second class is 18 to 24 scores and so on.

The Histogram of DRP scores is given below.

  

The shape of the distribution is a bit irregular, even though it seems closer to the symmetric.

The centre of data is approximately 35 scores. There is no outliers, since the spread of the distribution is precise.

  $\begin{array}{l}\text{range }=\text{Minimum value }-\text{ Maximum value}\\ =54-14\\ =40\end{array}$

Therefore, the data is approximately follows symmetrical (normal) distribution.

Conclusion:

Therefore, a histogram is made for the given data and the data is approximately follows symmetrical (normal) distribution.