Question

in a survey, 17 people reported the number of hours they spent on the internet last week. their responses are given below. complete the grouped relative - frequency distribution for the data. (note that we are using a class width of 5.) write each relative frequency as a decimal rounded to the nearest hundredth, not as a percentage. number of hours: 5 4 17 5 16 18 10 9 10 12 9 7 6 6 4 8 4 number of hours: 1 to 5, 6 to 10, 11 to 15, 16 to 20 relative frequency:

Explanation:

Step1: Count data in 1 - 5

Count the numbers in the range 1 - 5. The values 5, 4, 5, 4, 4 fall in this range. There are 5 values.

Step2: Calculate relative frequency for 1 - 5

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of data points}}$. Total number of data points is 17. So relative frequency for 1 - 5 is $\frac{5}{17}\approx 0.29$.

Step3: Count data in 6 - 10

The values 10, 9, 10, 9, 7, 6, 6, 8 fall in this range. There are 8 values.

Step4: Calculate relative frequency for 6 - 10

Relative frequency for 6 - 10 is $\frac{8}{17}\approx 0.47$.

Step5: Count data in 11 - 15

The value 12 falls in this range. There is 1 value.

Step6: Calculate relative frequency for 11 - 15

Relative frequency for 11 - 15 is $\frac{1}{17}\approx 0.06$.

Step7: Count data in 16 - 20

The values 17, 16, 18 fall in this range. There are 3 values.

Step8: Calculate relative frequency for 16 - 20

Relative frequency for 16 - 20 is $\frac{3}{17}\approx 0.18$.

Answer:

Number of hours	Relative frequency
6 to 10	0.47
11 to 15	0.06
16 to 20	0.18