# 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 tangerinesβ weights in a supermarket and their relative frequencies.

Weight in Grams ()FrequencyRelative Frequency
1
0.15
90.225
240.6

Find and .

• A,
• B,
• C,
• D,
• E,

Q3:

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

 Hours (β) Frequency 0<ββ€4 4<ββ€8 8<ββ€12 12<ββ€16 16<ββ€20 20<ββ€24 2 3 6 4 4 1

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 ?

• 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 (π‘) Frequency 6<π‘β€8 8<π‘β€10 10<π‘β€12 12<π‘β€14 14<π‘β€16 16<π‘β€18 30 10 35 12 10 3

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