Histograms
Question Paper
Question 1
The height, h cm, of each of 120 plants is measured.
The frequency table shows this information.
Height, h cm 0 < h ≤ 10 10 < h ≤ 20 20 < h ≤ 30 30 < h ≤ 50
Frequency 2 18 62 38
A histogram is drawn to show the information in the frequency table.
The height of the bar representing the interval 10 < h ≤ 20 is 7.2 cm.
Calculate the height of the bar representing the interval 30 < h ≤ 50.
............................................ cm
[2 marks]
Question 2
The table shows information about the times, t seconds, taken by each of 100 students to solve a puzzle.
Time (t seconds) 0 < t ≤ 10 10 < t ≤ 15 15 < t ≤ 20 20 < t ≤ 40 40 < t ≤ 75
Frequency 9 18 22 30 21
Emmanuel draws a histogram to show this information.
The table shows the heights, in cm, of some of the bars for this histogram.
Complete the table.
Time (t seconds) 0 < t ≤ 10 10 < t ≤ 15 15 < t ≤ 20 20 < t ≤ 40 40 < t ≤ 75
Height of bar (cm) 3.6 14. 4 17. 6
[3 marks]
Page 2 of 6
Question 3
The time, t minutes, it takes each of 50 students to travel to school is recorded.
The table shows the results.
Time (t minutes) 0 < t ≤ 10 10 < t ≤ 15 15 < t ≤ 20 20 < t ≤ 40
Frequency 7 19 16 8
On the grid, complete the histogram to show the information in the table.
[3 marks]
Page 3 of 6
Question 4
The table shows the number of people in different age groups at a cinema.
Age (y years) 15 < y ≤ 25 25 < y ≤ 30 30 < y ≤ 50 50 < y ≤ 80
Number of people 35 32 44 12
Dexter draws a histogram to show this information.
The height of the bar he draws for the group 15 < y ≤ 25 is 7 cm.
Calculate the height of each of the remaining bars.
25 < y ≤ 30 ........................................ cm
30 < y ≤ 50 ........................................ cm
50 < y ≤ 80 ........................................ cm
[3 marks]
Page 4 of 6
Question 5
Three sizes of eggs are sold in a shop.
The table shows the number of eggs of each size sold in one day.
Size Small Medium Large
Mass (m grams) 46 < m ≤ 52 52 < m ≤ 62 62 < m ≤ 80
Number of eggs sold 78 180 162
On the grid, draw a histogram to show the information in the table.
Page 5 of 6
