Q 55. - The Practice of Statistics for AP

Question

DRP test scores There are many ways to measure the reading ability of children. One frequently used test is the Degree of Reading Power (DRP). In a research study on third-grade students, the DRP was administered to $44$ students $32$ Their scores were: Make a histogram to display the data. Write a paragraph describing the distribution of DRP scores. 

Step-by-Step Solution

Answer

Step 1: Given information

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

Step 2: Concept

A histogram is a graphing tool that is often used. It's used to summarise data that's either discrete or continuous and measured on an interval scale. It's a popular way to display the important aspects of a data distribution in a user-friendly way. 

Step 3: Explanation

The DRP scores of $44$ third-grade pupils were histogrammed using classes of $6$ points in width, starting at $12$ scores. That is, the first-class ranges from $12$ to $18$ points, the second from$18$ to 24 points, and so on. $24$The following is a histogram of DRP scores.

Even though it appears to be symmetric, the distribution's form is a little uneven. The data center is around $35$ points. There are no outliers since the distribution's spread is accurate. 

range = Minimum value − Maximum value

$$\begin{gathered} = 54 - 14 \\ = 40 \end{gathered}$$

As a result, the data tend to follow a symmetrical (normal) distribution. As a result, a histogram is created for the given data, which roughly follows a symmetrical (normal) distribution.