Question

a survey was given to 117 students at a local high school, asking how many hours of television they watched per week. the results are summarized in the table below. construct and label a frequency histogram of the data with an appropriate scale.
click and drag to make a rectangle. click a rectangle to delete it.

Explanation:

Step1: Label the axes

Label the x - axis as "Hours of TV" and the y - axis as "Number of Students".

Step2: Determine the scale for the y - axis

The maximum number of students is 45. A suitable scale for the y - axis could be in increments of 3 (since 3 divides 18, 39, 45, 12, 3).

Step3: Draw the bars

• For the interval \(0 - 4\), draw a bar with height 18.
• For the interval \(5 - 9\), draw a bar with height 39.
• For the interval \(10 - 14\), draw a bar with height 45.
• For the interval \(15 - 19\), draw a bar with height 12.
• For the interval \(20 - 24\), draw a bar with height 3.

Answer:

A frequency histogram with the x - axis labeled "Hours of TV" (with intervals \(0 - 4\), \(5 - 9\), \(10 - 14\), \(15 - 19\), \(20 - 24\)) and the y - axis labeled "Number of Students" (scaled in increments of 3, with bars of heights 18, 39, 45, 12, 3 respectively for the given intervals).