Q. 2.60 - Elementary Statistics

Question

In Exercises 2.60-2.71. we have presented some quantitative data sets and specified a grouping method for practicing the concepts. For each data set,

a. determine a frequency distribution 

b. obtain a relative-frequency distribution.

c. construct a frequency histogram based on your result from part (a).

d. construct a relative-frequency histogram based on your result

from part (b).

Use single-value grouping.

Step-by-Step Solution

Answer

Part a. The frequency distribution is given as

Number	Tally	Frequency
1	||	2
3	|||||	5
4	|||	3

Part b. The relative frequency distribution is given as

Number	Frequency	Relative Frequency
1	2	$\frac{2}{10}=0.2$
3	5	$\frac{5}{10}=0.5$
4	3	$\frac{3}{10}=0.3$
Total	10	1

Part c. The frequency histogram is given as

Part d. The relative frequency histogram is given as

Part (a) Step 1. Given Information

We are given a quantitative data sets

Part (a) Step 2. Frequency Distribution

The data consists of three numbers $1,3,4$. So using single value grouping its frequency distribution is given as

Number	Tally	Frequency
1	||	2
3	|||||	5
4	III	3

Part (b) Step 1. Relative frequency distribution

The relative frequency distribution for the given data is given as

Number	Frequency	Relative Frequency
1	2	$\frac{2}{10}=0.2$
3	5	$\frac{5}{10}=0.5$
4	3	$\frac{3}{10}=0.3$
Total	10	1

Part (c) Step 1. Frequency histogram

The frequency histogram for the frequency distribution can be given as

Part (d) Step 1. Relative frequency histogram

The relative-frequency histogram for the relative-frequency distribution can be given as