Question

using a frequency table to construct a histogram
temperature (°f) | number of days
0–20 | 10
21–40 | 20
41–60 | 30
61–80 | 40
81–100 | 50
101–120 | 60
121–140 | 70
the frequency table will be used to make a histogram. use the drop - down menus to answer each question regarding the histogram.
what will the horizontal axis represent?
which interval should be used for the horizontal axis?
what will the vertical axis represent?
what is an appropriate scale for the vertical axis?
0–140
0–200
0–100

Explanation:

• Horizontal axis: In a histogram, the horizontal axis typically represents the variable being measured. Here, the variable is temperature, so the horizontal axis will represent temperature.
• Interval for horizontal axis: The given data has intervals of \(20\) (e.g., \(0 - 20\), \(21 - 40\)). So the interval of \(20\) should be used for the horizontal axis.
• Vertical axis: The vertical axis in a histogram represents the frequency (or count) of the data in each interval. Here, the frequency is the number of days, so the vertical axis will represent the number of days.
• Scale for vertical axis: The maximum number of days is \(70\). A scale of \(0 - 100\) is appropriate as it can accommodate the maximum value (\(70\)) without being too spread - out (unlike \(0 - 200\)) and is more reasonable than \(0 - 140\) which also has a larger range than necessary.

Answer:

• Horizontal axis: Temperature
• Interval for horizontal axis: \(20\)
• Vertical axis: Number of days
• Scale for vertical axis: \(0 - 100\)