Data and probability · Ages 14–15

Frequency polygons worksheet

Part of: Cumulative frequency & charts

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Data and probability · Ages 14–15

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The frequency polygon shows the ages (in years) of a gym's members. How many are in the class with class mark 62?
Answer:
2.One class of a frequency table is 40–43. In a frequency polygon, its point goes at the class mark .
Answer:
3.One class of a frequency table is 48–51. In a frequency polygon, its point goes at the class mark .
Answer:
4.The frequency polygon shows the ages (in years) of a gym's members. How many are in the class with class mark 104.5?
Answer:
5.A frequency table has 5 classes: 70–79, …, 110–119. A frequency polygon adds a point with frequency 0 at each end, at the class marks and .
Fill in each blank
Answer:
6.The frequency polygon shows how many minutes a running club's members ran last week. How many members does the club have?
Answer:
7.A frequency table has 6 classes: 50–59, …, 100–109. A frequency polygon adds a point with frequency 0 at each end, at the class marks and .
Fill in each blank
Answer:
8.The histogram and frequency polygon show how many minutes a swimming squad's members trained in a week. How many are in the classes with class mark 64.5 or more?
Answer:
9.The histogram and frequency polygon show how many minutes a swimming squad's members trained in a week. How many are in the classes with class mark 72 or more?
Answer:

10.The frequency polygon shows the weights (kg) of a batch of parcels. Which class has the most parcels? Give its class mark.
- A. 47
- B. 52
- C. 57
- D. 62
Choose the right answer
Answer:
11.The frequency polygon shows how many cakes a café sold each day for a month. The class with class mark 72 has 12 days.
True or false?
Answer:
12.The frequency polygon shows how many cakes a café sold each day for a month. The class with class mark 67 has 10 days.
True or false?
Answer:

13.A cycling club drew the frequency polygon below of how far (km) its members rode last month. The club has members, and the class with the most has class mark km.
Fill in each blank
Working:
Answer:
14.The table shows how many phones a phone shop sold each day for a month (classes on the left, days on the right). The manager draws it as a frequency polygon: the class 35–39 is the point (, ).
Fill in each blank
Working:
Answer:
15.The histogram and frequency polygon show how many minutes a swimming squad's members trained last week, the classes equally wide. The coach wants everyone who trained at least 70 minutes for a race. How many qualify?
Working:
Answer:
16.The frequency polygon shows how many people borrowed books at a library each day for a month. The class with class mark 84.5 has more days than the one with class mark 74.5, and the two have days between them.
Fill in each blank
Working:
Answer:
17.The frequency polygon shows how many people borrowed books at a library each day for a month. The class with class mark 54.5 has more days than the one with class mark 44.5, and the two have days between them.
Fill in each blank
Working:
Answer:
18.The histogram and frequency polygon show how many minutes a swimming squad's members trained last week, the classes equally wide. The coach wants everyone who trained at least 65 minutes for a race. How many qualify?
Working:
Answer:

Show the answers and working

Frequency polygons worksheet: Answers and working

1. 4 people
Go up from 62 on the axis: the point's height is the frequency, 4.
2. 41.5
Class mark = (lower limit + upper limit) ÷ 2 = (40 + 43) ÷ 2 = 41.5.
3. 49.5
Class mark = (lower limit + upper limit) ÷ 2 = (48 + 51) ÷ 2 = 49.5.
4. 11 people
Go up from 104.5 on the axis: the point's height is the frequency, 11.
5. 64.5, 124.5
The class before the first starts a class width below 70: class mark 64.5; the one after the last has class mark 124.5. Each is a class width from its neighbour's.
6. 43 members
Add the points' heights (the frequencies), leaving out the 0s at the ends: 43 in all.
7. 44.5, 114.5
The class before the first starts a class width below 50: class mark 44.5; the one after the last has class mark 114.5. Each is a class width from its neighbour's.
8. 11 people
From class mark 64.5 on, add the frequencies of the points to its right: 11.
9. 4 people
From class mark 72 on, add the frequencies of the points to its right: 4.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 35, 64.5
The points' heights add up to 35; the highest (11) is at class mark 64.5 km.
14. 37, 6
Across, the class mark (35 + 39) ÷ 2 = 37; up, the frequency 6.
15. 11 swimmers
70 is a class's lower limit: add the frequencies from that class on, 11 in all.
16. 10, 14
The two points are 12 and 2 high: 12 − 2 = 10 apart, 12 + 2 = 14 together.
17. 8, 10
The two points are 9 and 1 high: 9 − 1 = 8 apart, 9 + 1 = 10 together.
18. 8 swimmers
65 is a class's lower limit: add the frequencies from that class on, 8 in all.

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