Question

Forty families were surveyed and asked to record the number of hours per week their television was in use. The results are shown in this frequency table. Number of Hours Frequency 0-9 1 10-19 6 20-29 15 30-39 12 40-49 2 50-59 4 Which histogram is an accurate representation of the data? a. A histogram has frequency on the x-axis, and number of hours on the y-axis. 0 to 9 is 8, 10 to 19 is 2, 20 to 29 is 10, 30 to 39 is 12, 40 to 49 is 4, 50 to 59 is 2. b. A histogram has number of hours on the x-axis, and frequency on the y-axis. 0 to 9 is 1, 10 to 19 is 6, 20 to 29 is 15, 30 to 39 is 12, 40 to 49 is 2, 50 to 59 is 4. c. A histogram has number of hours on the x-axis, and frequency on the y-axis. 0 to 9 is 8, 10 to 19 is 3, 20 to 29 is 10, 30 to 39 is 12, 40 to 49 is 4, 50 to 59 is 1. d. A histogram has frequency on the x-axis, and number of hours on the y-axis. 0 to 9 is 1, 10 to 19 is 6, 20 to 29 is 15, 30 to 39 is 12, 40 to 49 is 2, 50 to 59 is 4.

Answer 1

Answer: Option B

Step-by-step explanation: Based on the information provided, option b is the accurate representation of the data.

In a histogram, the x-axis represents the number of hours and the y-axis represents the frequency.

Let's analyze option b in more detail:

- The first bar represents the range of 0-9 hours, with a frequency of 1.

- The second bar represents the range of 10-19 hours, with a frequency of 6.

- The third bar represents the range of 20-29 hours, with a frequency of 15.

- The fourth bar represents the range of 30-39 hours, with a frequency of 12.

- The fifth bar represents the range of 40-49 hours, with a frequency of 2.

- The sixth bar represents the range of 50-59 hours, with a frequency of 4.

By plotting these values accurately, option b represents the data provided in the frequency table correctly.

Therefore, option b is the correct histogram representation of the given data.