Question

Consider the following data. Click on the datafile logo to reference the data.

14 21 23 21 16 19 22 25 16 16 24 24 25 19 16 19 18 19 21 12 16
17 18 23 25
20 23 16 20 19
24 26 15 22 24
20 22 24 22 20
Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the percent frequency (1 decimal) values below.
Class Frequency Relative Frequency Percent Frequency 12-14 % 15-17 % 18-20 % 21-23 % 24-26 % (Total) %

Answer 1

`\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}`

Explanation:

Required

Complete the table.

First, group the data according to the class.

So, we have:

12-14:- 14 12 --- Frequency is 2

15 - 17:- 16 16 16 16 16 17 16 15 --- Frequency is 8

18 - 20:- 19 19 19 18 19 18 20 20 19 20 20 --- Frequency is 11

21 - 23:- 21 23 21 22 21 23 23 22 22 22 --- Frequency is 10

24 - 26:- 25 24 24 25 25 24 26 24 24 --- Frequency is 9

Next, fill the class frequency column

`\begin{array}{cc}{Class} & {Frequency} \ \\ {12-14} & {2} & {15-17} & {8} & {18-20} & {11} & {21-23} & {10} & {24-26} & {9}\ \end{array}`

Relative frequency is calculated by dividing each frequency by the total frequency (40).

So, we have:

`\begin{array}{ccc}{Class} & {Frequency} & {Relative Frequency}\ \\ {12-14} & {2} & {0.05} & {15-17} & {8} & {0.200}& {18-20} & {11} & {0.275} & {21-23} & {10} & {0.250} & {24-26} & {9} & {0.225}\ \end{array}`

The percent frequency is calculated by multiplying the relative frequency by 100%.

So, we have:

`\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}`