Statistical Diagrams

2 marks

The frequency table gives information about the heights of some people.

Height ( $h$ cm)	Frequency
$160 < h ⩽ 165$	$2$
$165 < h ⩽ 170$	$5$
$170 < h ⩽ 175$	$10$
$175 < h ⩽ 180$	$21$
$180 < h ⩽ 185$	$16$
$185 < h ⩽ 190$	$4$

Draw a frequency polygon for this information.

q1-easy-6-2-statistical-diagrams-edexcel-gcse-maths

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3 marks

The pie charts give information about the ages, in years, of people living in two towns, Adley and Bridford.

q1-1-hard-6-2-statistical-diagrams-edexcel-gcse-maths

q1-2-hard-6-2-statistical-diagrams-edexcel-gcse-maths

The ratio of the number of people living in Adley to the number of people living in Bridford is given by the ratio of the areas of the pie charts.

What proportion of the total number of people living in these two towns live in Adley and are aged 0 -19?
Give your answer correct to 3 significant figures.

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2 marks

The frequency table gives information about the numbers of emails sent by $51$ teachers on Monday.

Number of emails sent( $m$ )	Frequency
$0 < m ⩽ 10$	$5$
$10 < m ⩽ 20$	$17$
$20 < m ⩽ 30$	$14$
$30 < m ⩽ 40$	$9$
$40 < m ⩽ 50$	$6$

On the grid below, draw a frequency polygon for this information.

q1-medium-6-2-statistical-diagrams-edexcel-gcse-maths

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2 marks

Nalini says that at least a quarter of these teachers sent more than $30$ emails.

Is Nalini correct?
You must explain your answer.

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Age( $a$ years)	Frequency
$20 < a ⩽ 30$	$6$
$30 < a ⩽ 40$	$16$
$40 < a ⩽ 50$	$14$
$50 < a ⩽ 60$	$22$
$60 < a ⩽ 70$	$2$

Money spent(£A)	Frequency
$0 < A ⩽ 20$	$10$
$20 < A ⩽ 40$	$15$
$40 < A ⩽ 60$	$25$
$60 < A ⩽ 80$	$40$
$80 < A ⩽ 100$	$6$

13	21	19	27	31	5	23	29	18	25
34	15	28	23	22	40	16	19	32	9

98	90	84	102	115	91
88	91	108	110	97	93
90	89	103	95	92	106

Edexcel GCSE Maths

Topic Questions

Statistical Diagrams

	2015				2016				2017
Quarter	1	2	3	4	1	2	3	4	1	2	3	4
Number of computers sold	13	31	29	45	20	32	25	47	27	40	30	58

Time( $t$ minutes)	Frequency
$0 < t ⩽ 10$	$4$
$10 < t ⩽ 20$	$8$
$20 < t ⩽ 30$	$14$
$30 < t ⩽ 40$	$16$
$40 < t ⩽ 50$	$6$
$50 < t ⩽ 60$	$2$

Height( $h$ cm)	Frequency
$130 < h ⩽ 140$	$4$
$140 < h ⩽ 150$	$11$
$150 < h ⩽ 160$	$24$
$160 < h ⩽ 170$	$22$
$170 < h ⩽ 180$	$19$

165	164	176	179	188	178	183	172	180	190
167	159	156	176	173	168	169	182	167	192

Height( $h$ cm)	Frequency
$10 < h ⩽ 20$	$7$
$20 < h ⩽ 30$	$13$
$30 < h ⩽ 40$	$14$
$40 < h ⩽ 50$	$12$
$50 < h ⩽ 60$	$16$
$60 < h ⩽ 70$	$18$

Year	2011	2012	2013	2014	2015	2016	2017	2018
Number of people	350	583	906	1471	2023	2612	3251	3780

Year	2012	2013	2014	2015	2016	2017	2018	2019
Time (minutes)	157	148	138	124	113	100	90	82

	2015				2016
Months	Jan- Mar	Apr- Jun	July- Sep	Oct- Dec	Jan- Mar	Apr- Jun	July- Sep	Oct- Dec
Average number of customers per day	119	264	368	172	130	304	381	192

2.4	2.7	3.5	4.4	4.5	4.1	4.4	2.8
4.1	3.8	3.8	4.2	3.3	3.0	3.7	3.3

least height	150 cm
median	165 cm
greatest height	170 cm

Bird	Frequency
Magpie	15
Thrush	10
Startling	20
Sparrow	27

165	164	176	179	188	178	183	172	180	190
167	159	156	176	173	168	169	182	167	192

165	164	176	179	188	178	183	172	180	190
167	159	156	176	173	168	169	182	167	192