Worksheet: Relative Frequency Histogram

In this worksheet, we will practice drawing and interpreting frequency and relative frequency histograms.

Q1:

Walking has been shown to be beneficial not only to our heart and muscles but also to our brain by increasing its supply of blood. A survey has been conducted in a secondary school to find out how long students walk per week. The data can be represented with a relative frequency histogram. Which of the following correctly displays a relative frequency histogram?

  • A
  • B
  • C
  • D
  • E

Q2:

The table shows some tangerines’ weights in a supermarket and their relative frequencies.

Weight in Grams (𝑀)FrequencyRelative Frequency
0<𝑀≀201π‘Ž
20<𝑀≀40𝑏0.15
40<𝑀≀6090.225
60<𝑀≀80240.6

Find π‘Ž and 𝑏.

  • Aπ‘Ž=0, 𝑏=6
  • Bπ‘Ž=0.025, 𝑏=6
  • Cπ‘Ž=0.025, 𝑏=0.15
  • Dπ‘Ž=0.025, 𝑏=15
  • Eπ‘Ž=0.25, 𝑏=6

Q3:

The table below shows the number of hours that 20 people spent exercising for one week.

Hours (β„Ž)0<β„Žβ‰€44<β„Žβ‰€88<β„Žβ‰€1212<β„Žβ‰€1616<β„Žβ‰€2020<β„Žβ‰€24
Frequency236441

Which of the following correctly displays a relative frequency histogram?

  • A
  • B
  • C
  • D
  • E

Q4:

The graph shows the relative frequencies of the heights of 200 people. From the graph, what is the relative frequency of the interval 1.50<β„Žβ‰€1.60?

  • A0.2
  • B0.5
  • C0.4
  • D0.3
  • E0.1

Q5:

One day, a coffee shop recorded the first 100 drinks that were ordered as shown.

Time (𝑑)6<𝑑≀88<𝑑≀1010<𝑑≀1212<𝑑≀1414<𝑑≀1616<𝑑≀18
Frequency30103512103

Find the relative frequency for each drink.

  • A3, 1, 3.5, 1.2, 1, 0.3
  • B0.3, 0.1, 0.35, 0.12, 0.1, 0.03
  • C130, 110, 135, 112, 110, 103
  • D30, 40, 75, 87, 97, 100
  • E0.429, 0.143, 0.5, 0.171, 0.143, 0.043

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