©MathsWatch Clip 205
Grade 7 questions Histograms
The table and histogram give some information about the weights of parcels
received at a post office during one Thursday.
Frequency density
0 1 2 3 4 5 6 7 8
Weight (w) kg
a) Use the histogram to complete the frequency table.
Weight (w) kg Frequency
0<w<2 40
2<w<3
3<w<4 24
4<w<5 18
5<w<8
b) Use the table to complete the histogram. Page 205 A
©MathsWatch Clip 205
Grade 7 questions Histograms
The incomplete table and histogram give some information about the heights (in cm) of
some plants.
Height (h cm) Frequency
100 < h < 130 30
130 < h < 150
150 < h < 160
160 < h < 180 40
180 < h < 210 18
Frequency
density
0
100 120 140 160 180 200 220
Height (h cm)
a) Use the histogram to complete the table.
b) Use the table to complete the histogram.
Page 205 B
©MathsWatch Clip 205
Grade 7 questions Histograms
Paul asked the students in his class how many hours they used the internet for last week.
The incomplete histogram was drawn using his results.
Frequency
density
0 5 10 15 20 25 30
Hours used
Eight students used the internet for between 10 and 15 hours.
Six students used it for between 0 and 10 hours.
a) Use this information to complete the histogram.
No students used the internet for more than 30 hours.
b) Work out how many students Paul asked.
Page 205 C
©MathsWatch Clip 205
Grade 7 questions Histograms
Some trains from Nottingham to Leeds were late.
The incomplete table and histogram give some information about how late the
trains were.
Minutes late (t) Frequency
0<t<5 16
5 < t < 10 10
10 < t < 20
20 < t < 30
30 < t < 50 8
Frequency
density
0 10 20 30 40 50
Minutes late (t)
a) Use the information in the histogram to complete the table.
b) Use the information in the table to complete the histogram. Page 205 D
©MathsWatch Clip 205
Grade 7 questions Histograms
The table and histogram give information about how long, in minutes,
some students took to complete a set of homework.
Time (t) in minutes Frequency
0 < t < 10 20
10 < t < 15
15 < t < 30
30 < t < 50 62
50 < t < 60 23
Frequency
density
0 10 20 30 40 50 60
Time (minutes)
a) Use the information in the histogram to complete the table.
b) Use the table to complete the histogram.
Page 205 E
©MathsWatch Clip 205
Grade 7 questions Histograms
The incomplete histogram and table give some information about the distances
some students travel to school.
Frequency
density
0 10 20 30 40 50 60
Distance (d km)
a) Use the information in the histogram to complete the frequency table.
Distance (d km) Frequency
0<d<5 15
5 < d < 10 20
10 < d < 20
20 < d < 40
40 < d < 60 10
b) Use the information in the table to complete the histogram.
Page 205 F
©MathsWatch Clip 205
Grade 7 questions Histograms
There are 100 pupils in Year 11. The time taken by each pupil to answer a question was recorded.
The following grouped frequency distribution was obtained.
Time, t seconds 0 < t < 10 10 < t < 20 20 < t < 30 30 < t < 40 40 < t < 60
Number of pupils 6 19 25 36 14
Draw a histogram to illustrate the distribution on the graph paper below.
Time taken to answer in seconds
0 10 20 30 40 50 60
Time, t seconds
Page 205 G
©MathsWatch Clip 205
Grade 7 questions Histograms
1) The table gives information about the heights, Height (h cm) Frequency
in centimetres, of some 18 year old students. 135 < h < 145 12
145 < h < 165 46
Use the table to draw a histogram. 165 < h < 180 45
180 < h < 190 25
190 < h < 195 4
2) The histogram shows the amount of time,
in hours, that students spend on their
homework per week.
0 1 2 3 4 5
Hours spent on homework per week
Use the histogram to complete the table.
Time (t hours) Frequency
0<t <½
½<t <1
1<t <2
2<t <3 27
3<t <5 Page 205 H
