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19.3 Histograms

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

How many students have heights between 150 cm and 160 cm (150 cm ≤ h < 160 cm) ?

a)

25 students

b)

30 students

c)

35 students

d)

40 students

e)

45 students

2.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

How many students have heights between 165 cm and 170 cm (165 cm ≤ h < 170 cm) ?

a)

17 students

b)

18 students

c)

20 students

d)

35 students

e)

36 students

3.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

How many students have heights between 170 cm and 180 cm (170 cm ≤ h < 180 cm) ?

a)

22 students

b)

20 students

c)

17 students

d)

15 students

e)

11 students

4.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

How many students have heights between 190 cm and 210 cm (190 cm ≤ h < 210 cm) ?

a)

3 students

b)

6 students

c)

9 students

d)

12 students

e)

25 students

5.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

What frequency density should be used to draw the bar on the histogram to show students with heights between 160 cm and 165 cm (160 cm ≤ h < 165 cm) ?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

10 units

b)

20 units

c)

30 units

d)

40 units

e)

50 units

6.

The unfinished histogram and frequency table give information about the heights in centimetres of the Year 11 students at Mathstown High School.

What frequency density should be used to draw the bar on the histogram to show students with heights between 180 cm and 190 cm (180 cm ≤ h < 190 cm) ?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

24 units

b)

12 units

c)

10 units

d)

8 units

e)

6 units

7.

One Monday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the frequency table shown.

Using the information in Victoria's frequency table, what frequency density should be used to draw the bar on the histogram to show the number of birds spending between 10 and 20 seconds (10 < t ≤20 seconds) on her bird table?

Note: 1 unit = 1 small square, bounded by blue lines, on her bird table?

a)

8 units

b)

16 units

c)

20 units

d)

24 units

e)

32 units

8.

One Monday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the frequency table shown.

Using the information in Victoria's frequency table, what frequency density should be used to draw the bar on the histogram to show the number of birds spending between 25 and 30 seconds (25 < t ≤30 seconds) on her bird table?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

48 units

b)

32 units

c)

24 units

d)

16 units

e)

8 units

9.

One Monday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the frequency table shown.

Using the information in Victoria's frequency table, what frequency density should be used to draw the bar on the histogram to show the number of birds spending between 30 and 50 seconds (30 < t ≤50 seconds) on her bird table?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

3 units

b)

6 units

c)

9 units

d)

12 units

e)

15 units

10.

On Tuesday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the histogram shown below.

How many birds spent between 10 seconds and 20 seconds (10 seconds < t ≤ 20 seconds) ?

a)

10 birds

b)

18 birds

c)

20 birds

d)

24 birds

e)

36 birds

11.

On Tuesday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the histogram shown below.

How many birds spent between 20 seconds and 25 seconds (20 seconds < t ≤ 25 seconds) ?

a)

35 birds

b)

28 birds

c)

21 birds

d)

14 birds

e)

7 birds

12.

On Tuesday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the histogram shown below.

How many birds spent between 25 seconds and 30 seconds (25 seconds < t ≤ 30 seconds) ?

a)

10 birds

b)

18 birds

c)

20 birds

d)

24 birds

e)

36 birds

13.

On Tuesday, Victoria measured the time in seconds that individual birds spent on her bird table. She used this information to complete the histogram shown below.

How many birds spent between 30 seconds and 50 seconds (30 seconds < t ≤ 50 seconds) ?

a)

20 birds

b)

16 birds

c)

8 birds

d)

5 birds

e)

4 birds

14.

The unfinished table and histogram show information about the time, in hours, for which cars were parked in a short-stay airport car park.

Using the information in the frequency table, what frequency density should be used to draw the bar on the histogram to show the number of cars parked for between 1 and 2 hours (1 < t ≤ 2 hours) in this short stay airport car park?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

14 units

b)

20 units

c)

21 units

d)

28 units

e)

30 units

15.

The unfinished table and histogram show information about the time, in hours, for which cars were parked in a short-stay airport car park.

Using the information in the frequency table, what frequency density should be used to draw the bar on the histogram to show the number of cars parked for between 2 and 4 hours (2 < t ≤ 4 hours) in this short stay airport car park?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

8 units

b)

17 units

c)

20 units

d)

30 units

e)

34 units

16.

The unfinished table and histogram show information about the time, in hours, for which cars were parked in a short-stay airport car park.

Using the information in the frequency table, what frequency density should be used to draw the bar on the histogram to show the number of cars parked for between 4 and 8 hours (4 < t ≤ 8 hours) in this short stay airport car park?

Note: 1 unit = 1 small square, bounded by blue lines, on graph paper.

a)

13 units

b)

26 units

c)

39 units

d)

52 units

e)

65 units

17.

The unfinished table and histogram show information about the time, in hours, for which cars were parked in a short-stay airport car park.

Using the information in the histogram, what number of cars (frequency) are parked for between 8 and 16 hours (8 < t ≤ 16 hours) in this short stay airport car park?

a)

8 cars

b)

16 cars

c)

24 cars

d)

32 cars

e)

40 cars

18.

The histogram shows information about the weights of some potatoes. The vertical scale has been omitted. However, 15 potatoes weigh more than 90 grammes.

Find the total number of potatoes?

a)

49 potatoes

b)

97 potatoes

c)

126 potatoes

d)

185 potatoes

e)

194 potatoes

19.

The histogram shows information about the weights of some potatoes. The vertical scale has been omitted. However, 15 potatoes weigh more than 90 grammes.

Work out an estimate for the number of potatoes which weigh less than 50 grams.

a)

97 potatoes

b)

63 potatoes

c)

49 potatoes

d)

48 potatoes

e)

34 potatoes

20.

The histogram shows information about the weights of some potatoes. The vertical scale has been omitted. However, 15 potatoes weigh more than 90 grammes.

In which interval does the median lie?

a)

0 < 𝑤 ≤ 40

b)

40 < 𝑤 ≤ 60

c)

60 < 𝑤 ≤ 70

d)

70 < 𝑤 ≤ 90

e)

90 < 𝑤 ≤ 120