Full Coverage: Histograms

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"Full Coverage": Histograms

This worksheet is designed to cover one question of each type seen in past papers, for each

GCSE Higher Tier topic. This worksheet was automatically generated by the DrFrostMaths

Homework Platform: students can practice this set of questions interactively by going to

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Question 1 Categorisation: Use a histogram to complete a frequency table or vice versa.

[Edexcel IGCSE Nov-2010-4H Q17b Edited]

The incomplete table and histogram show information about the

weights of some books.

Use the information in the table to complete the histogram.

http://www.drfrostmaths.com/homework


Question 2 Categorisation: As above.

[Edexcel IGCSE Jan2017(R)-4H Q16a Edited]

The table shows information about the heights, in metres, of

45 of the world’s tallest men.

Use the information in the table to complete the histogram.


Question 3 Categorisation: Use a histogram to estimate a frequency within a given range.

[Edexcel IGCSE Jan2017(R)-4H Q16b]

The table shows information about the heights, in metres, of 45 of the world’s tallest men.

Find an estimate for the number of these men with height between 2.32 metres and 2.34

metres.

..........................


Question 4 Categorisation: As above, but where the frequency value of each ‘square’ is given.

[Edexcel IGCSE June2010-4H Q15a]

The unfinished histogram shows information about the heights, h metres, of some

trees.

Calculate an estimate for the number of trees with heights in the interval 4.5 < ℎ ≤ 10

..........................


Question 5 Categorisation: As per Questions 1-2.

[Edexcel IGCSE June2010-4H Q15b]

The unfinished histogram shows information about the heights, h metres, of some

trees.

There are 75 trees with heights in the interval 10 < ℎ ≤ 13

Use this information to complete the histogram.


Question 6 Categorisation: Use a single frequency to determine another for a given range,

where the range spans multiple bars.

[Edexcel IGCSE Jan2017-4H Q20a]

The histogram shows information about the times taken by 160 cyclists to complete the Tour

de France cycle race.

6 cyclists took less than 85 hours.

Work out an estimate for the number of the 160 cyclists who took less than 86 hours.

..........................


Question 7 Categorisation: Find the proportion or percentage of values in a range, without any

frequency information provided.

[Edexcel IGCSE May2012-4H Q17a]

The histogram shows information about the times, t minutes, patients spent at a

doctors’ surgery on one day.

No patient spent more than 40 minutes at the surgery.

Calculate the percentage of the patients who spent between 25 and 40 minutes at the surgery.

.......................... %


Question 8 Categorisation: As with Question 7, but where a fraction of one of the bars is

required.

[Edexcel IGCSE May2014(R)-3H Q15]

The histogram shows information about the times taken by a telephone call centre to answer

incoming calls.

Work out an estimate for the percentage of calls that are answered in less than 40 seconds.

.......................... %


Question 9 Categorisation: Determine a probability using a histogram.

[Edexcel GCSE(9-1) Mock Set 1 Autumn 2016 - 1H Q23]

The histogram shows information about the ages of the members of a football supporters club.

There are 20 members aged between 25 and 30.

One member of the club is chosen at random.

What is the probability that this member is more than 30 years old?

..........................


Question 10 Categorisation: Determine the total frequency using a given frequency.

[Edexcel IGCSE Jan2015-4H Q20]

The histogram shows information about the heights of some tomato plants.

26 plants have a height of less than 20 cm.

Work out the total number of tomato plants.

..........................


Question 11 Categorisation: Determine the total frequency or frequency for a range given the

difference in frequency between two bars.

[Edexcel GCSE(9-1) Mock Set 2 Spring 2017 3H Q18a]

The histogram gives information about the weights of some fish.

The number of fish with a weight between 400 g and 450 g is 7 more than the number of fish

with a weight between 250 g and 300 g.

(a) Calculate the total number of fish represented by the histogram.

.......................... fish


Question 12 Categorisation: Estimate the value for a item/person at a particular position along

the data.

[Edexcel IGCSE Jan2017-4H Q20b]

The histogram shows information about the times taken by 160 cyclists to complete the Tour

de France cycle race.

For these 160 cyclists, work out an estimate for the time taken by the cyclist who finished in

50th position.

.......................... hours


Question 13 Categorisation: As above, but specifically estimating the value at the median

position.

[Edexcel GCSE Jun2015-2H Q26c]

The histogram shows some information about the salaries of a sample of people.

This histogram has the corresponding frequency table:

Find an estimate for the median salary.

..........................


Question 14 Categorisation: Further practice determining the median.

Find an estimate for the median height.

Median = .......................... cm


Answers

Question 1

Question 2

Question 3

5

Question 4

160

Question 5

Question 6

24

Question 7

18 %

Question 8

70 %

Question 9

61

118

Question 10

125

Question 11

68 fish

Question 12

87 hours

Question 13

"26000 OR 26 000 OR 26,000 OR 25500 OR

25 500 OR 25,500"

Question 14

Median = 150 cm

Documents

Full Coverage: Histograms