Question

Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to the nearest tenth of a percent. Some of the answers will be used more than once and some may not be used. 10, 21, 21, 21, 21, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 28, 29, 29, 29, 29 Number Frequency Relative Frequency 20 ______ ______% 21 ______ ______% 23______ ______% 24 ______ ______% 25 ______ ______% 26______ ______% 27 ______ ______% 28 ______ ______% 29 ______ ______%

Answer 1

Solution: We have to find the Frequency and Relative frequency of the given data:

Frequency is the number of times a number occurs.

Relative Frequency is the number of times a number occurs divided by the total number of items.

Therefore, the frequency and relative frequency are calculated as below:

Number       Frequency          Relative Frequency

20                       1                     $\frac{1}{31} \times 100 =3.2\%$

21                        4                    $\frac{4}{31} \times 100 =12.9\%$

22                       2                    $\frac{2}{31} \times 100 =6.5\%$

23                       4                    $\frac{4}{31} \times 100 =12.9\%$

24                       3                    $\frac{3}{31} \times 100 =9.7\%$

25                       2                    $\frac{2}{31} \times 100 =6.5\%$

26                       3                    $\frac{3}{31} \times 100 =9.7\%$

27                       5                    $\frac{5}{31} \times 100 =16.1\%$

28                       3                    $\frac{3}{31} \times 100 =9.7\%$

29                       4                    $\frac{4}{31} \times 100 =12.9\%$

Total                  31