Q.18 - Elementary Statistics

Question

 DVD Players. Refer to Example 2.16 on page 60 .

a. Explain why a frequency histogram of the DVD prices with single-value classes would be essentially identical to the dotplot shown in Fig. 2.7.

b. Would the dotplot and a frequency histogram be essentially identical with other than single-value classes? Explain your answer.

Step-by-Step Solution

Answer

(a) Histogram is identical to plot.

(b) Histogram and dotplot are not essentially identical.

Part(a) Step 1:Given Information

We have to find the reason for a frequency histogram of the DVD prices with single value classes would be essentially identical to the dotplot.

Part (a) Step 2: Explanation

In a data set, a dot plot depicts a single data point above a single value.

The output is the same as a dotplot when a histogram is made up of single-value classes. The bars in the dotplot are the same height as the dots above a single value.

Part (b) Step 1 :Given Information

We have to to find whether dotplot and a frequency histogram are identical with other than single-value classes.

Part (b) Step 2: Explanation

Individuals are placed into categories by categorical or qualitative criteria, whereas quantitative variables are numerical variables.

The dotplot and frequency histogram are not fundamentally equivalent when a histogram does not use single class values, because dots corresponding to multiple single values in the dotplot are combined into the same bar of the histogram.