Histograms

2 marks

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

q1-hard-6-3-histograms-edexcel-gcse-maths

Use the histogram to complete the frequency table.

Salary ( $p$ ) in £1000s	Frequency
$0 < p ⩽ 10$	$4$
$10 < p ⩽ 20$
$20 < p ⩽ 25$
$25 < p ⩽ 35$
$35 < p ⩽ 50$

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2 marks

Work out the proportion of people in the sample who have a salary greater than $£ 40 000$ .

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2 marks

Find an estimate for the median salary.

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3 marks

The table gives information about the heights, $h$ metres, of trees in a wood.

Height( $h$ metres)	Frequency
$0 < h ⩽ 2$	$7$
$2 < h ⩽ 4$	$14$
$4 < h ⩽ 8$	$18$
$8 < h ⩽ 16$	$24$
$16 < h ⩽ 20$	$10$

Draw a histogram to show this information.

q1-medium-6-3-histograms-edexcel-gcse-maths

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3 marks

The histogram shows information about the weights, in grams, of some plums.

q1-veryhard-6-3-histograms-edexcel-gcse-maths

Work out an estimate for the proportion of these plums with a weight of less than 100 grams.

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Distance ( $d$ km)	Frequency
$0 < d ⩽ 5$	$30$
$5 < d ⩽ 10$
$10 < d ⩽ 20$
$20 < d ⩽ 30$	$24$
$30 < d ⩽ 50$	$16$

Speed ( $s$ km/h)	Frequency
$90 < s ⩽ 100$	$13$
$100 < s ⩽ 105$	$16$
$105 < s ⩽ 110$	$18$
$110 < s ⩽ 120$	$22$
$120 < s ⩽ 140$	$12$

Speed( $s$ km/h)	Frequency
$60 < s ⩽ 65$	$15$
$65 < s ⩽ 70$	$25$
$70 < s ⩽ 80$	$36$
$80 < s ⩽ 100$	$24$

Time taken ( $t$ minutes)	Frequency
$0 < t ⩽ 5$	$4$
$5 < t ⩽ 15$
$15 < t ⩽ 25$
$25 < t ⩽ 30$
$30 < t ⩽ 50$

Edexcel GCSE Maths

Topic Questions

Histograms

Time( $t$ minutes)	$0 < t ⩽ 10$	$10 < t ⩽ 15$	$15 < t ⩽ 20$	$20 < t ⩽ 30$	$30 < t ⩽ 45$
Number of calls	$12$	$15$	$13$	$18$	$3$

Length of time( $t$ hours)	Frequency
$0 ⩽ t < 10$	$6$
$10 ⩽ t < 15$	$8$
$15 ⩽ t < 20$	$15$
$20 ⩽ t < 40$	$5$

Minutes late ( $L$ minutes)	Frequency
$0 < L ⩽ 10$	8
$10 < L ⩽ 15$	13
$15 < L ⩽ 25$	19
$25 < L ⩽ 40$	24
$40 < L ⩽ 60$	6

Height ( $h$ cm)	Frequency
$10 < h ⩽ 20$	35
$20 < h ⩽ 35$	45
$35 < h ⩽ 50$	75
$50 < h ⩽ 70$	40
$70 < h ⩽ 80$	8

Height ( $h$ metres)	Frequency
$0 < h ⩽ 20$	$15$
$20 < h ⩽ 35$	$48$
$35 < h ⩽ 40$	$21$
$40 < h ⩽ 50$	$16$

Age, $x$ (weeks)	Frequency
$0 ⩽ x < 5$	$18$
$5 ⩽ x < 10$	$23$
$10 ⩽ x < 20$	$17$
$20 ⩽ x < 50$	$21$

Time, t (mins)	Frequency	Class width
$0 ⩽ t < 30$	$24$
$30 ⩽ t < 50$	$76$
$50 ⩽ t < 60$	$52$
$60 ⩽ t < 90$	$48$

Age, $x$ (years)	Frequency
$10 ⩽ x < 15$	$8$
$15 ⩽ x < 25$	$24$
$25 ⩽ x < 40$	$30$
$40 ⩽ x < 70$	$39$

Time taken ( $t$ minutes)	Frequency
$0 < t ⩽ 10$	$54$
$10 < t ⩽ 20$	$50$
$20 < t ⩽ 40$	$44$
$40 < t ⩽ 80$	$20$

Height( $h$ cm)	Frequency
$140 < h ⩽ 150$	$15$
$150 < h ⩽ 155$	$30$
$155 < h ⩽ 160$	$51$
$160 < h ⩽ 165$	$36$
$165 < h ⩽ 180$	$18$

Mass, $m$ (grams)	Frequency
$53 < m ⩽ 58$	8
$58 < m ⩽ 63$	19
$63 < m ⩽ 68$	15
$68 < m ⩽ 73$	8

Time spent on homework (t hours)	Frequency
$0 < t ⩽ 2$	28
$2 < t ⩽ 4$
$4 < t ⩽ 5$
$5 < t ⩽ 6$
$6 < t ⩽ 9$

Distance (d km)	Frequency
$0 ⩽ d < 10$	40
$10 ⩽ d < 15$
$15 ⩽ d < 20$
$20 ⩽ d < 30$
$30 ⩽ d < 60$	30

Mass (m kg)	Tally	Frequency
$0 ⩽ m ⩽ 5$
$5 ⩽ m ⩽ 10$
$10 ⩽ m ⩽ 15$
$15 ⩽ m ⩽ 20$

Amount spent $(£ a)$	Frequency
$0 < a ⩽ 5$	35
$5 < a ⩽ 10$	42
$10 < a ⩽ 15$	20
$15 < a ⩽ 20$	18
$20 < a ⩽ 30$	14
$30 < a ⩽ 50$	11