Check your answers if you have time at the end mathsgenie co uk Page 2 1 The cumulative frequency table shows the height, in cm, of some tomato plants
Read each question carefully before you begin answering it Draw a cumulative frequency graph for this information 80 70 60 Cumulative frequency 50
Cumulative frequencies are easy to calculate from a frequency table Cumulative Answer the following questions, giving reasons to support your answers
The times taken by customer service operators to answer 120 telephone calls are illustrated in the cumulative frequency diagram shown below (a) Calculate an
Cumulative Frequency Mark Scheme 1(a) [1] Three correctly summed values [1] All correct values 1(b) (2 ,6) [1] x-co-ordinate -highest value of
On the grid, draw a cumulative frequency graph for your table Answers 7 hours 32 children Approximately 32 children watch TV for less that 7 hours a
Answer ALL the questions Write your answers in the spaces provided in this question paper You must NOT write on the formulae page Anything you write on the
b) Draw a cumulative frequency graph for your table c) Use your graph to find an estimate for (i) the median height of a plant
Starting with the smallest value, give the first two coordinates Pete will plot [2 marks] Answer and Turn over for next question Turn over ? 4
Cumulative Frequency (Inc Interquartile Range) [4 Marks] different method to obtain the correct answer then You should consider to keep using your
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69463_3Cumulative_Frequency.pdf www.missbsresources.com
Cumulative Frequency
/1 The table shows information about the number of ours 80 children watched TV last week. Hours (h)
Frequency
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Ͷ൏22
൏ͺ26
ͺ൏݄ͳ-12
ͳ-൏ͳ-4
Hours (h)
Cumulative
Frequency
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1.Complete the cumulative frequency table.
2.On the grid, draw a cumulative frequency graph for your table.
3.Use your graph to estimate for the number of children who watched TV for less that 7
hours last week.
4.Find an estimate value median amount of time children watch TV.
5.Calculate the Inter Quartile range of the times children spend watching TV.
/2 /2 /1 /3
Cumulative Frequency
Hours
40
4812
20 60
80
0 www.missbsresources.com
SkillQuestionsScoreAvailable
Marks To calculate thecumulative frequency so that you can correctly draw the graph
1, 2,6c5
Find a value for the median.4, 6a2
Findthe upper and lower bounds to calculate the
interquartile range. 53
Solve problemsusing a cumulative frequency graph. 3, 6b, 6d8
Total Marks18
Cumulative Frequency
6. Adam took a sample of 100
chocolates from box A of chocolates.
He weighed each chocolate and
recorded it͛s weight.
He used the information to draw the
cumulative frequency graph shown on the grid.
Use the cumulative frequency graph
to find an estimate for a)The median weight of the chocolates. b)The number of chocolates with a weight more than
120 grams
Weight of chocolate (grams)
20 40
60
80
100
04080120160200
Adam also took a sample of 100 chocolates from a different branded box of chocolates. The table shows the distribution of weights of the chocolates from Box B. c)On the same grid, draw the cumulative frequency graph for the information shown in the table. d)Work out the probability that the weight of a chocolate from Box A is more than 120g andthe weight of a chocolate from Box B is more than 120g.
Weight
(w grams)
Cumulative
Frequency
-൏ݓͶ-4 -൏ݓͺ-32 -൏ݓͳ--56 -൏ݓͳ-82 -൏ݓ---100 /4 /2 /2 /1 www.missbsresources.com
Cumulative Frequency
/1 The table shows information about the number of ours 80 children watched TV last week. Hours (h)
Frequency
-൏-6 -൏Ͷ10
Ͷ൏22
൏ͺ26
ͺ൏݄ͳ-12
ͳ-൏ͳ-4
Hours (h)
Cumulative
Frequency
-൏-6 -൏Ͷ16 -൏38 -൏ͺ64 -൏݄ͳ-76 -൏ͳ-80
1.Complete the cumulative frequency table.
2.On the grid, draw a cumulative frequency graph for your table.
3.Use your graph to estimate for the number of children who watched TV for less that 7
hours last week.
4.Find an estimate value median amount of time children watch TV.
5.Calculate the Inter Quartile range of the times children spend watching TV.
/2 /2 /1 /3
Cumulative Frequency
Hours
40
4812
20 60
80
0
Answers
7 hours 32 children
Approximately 32 children watch TV for less that 7 hours a week.
Median 6 hours
The median is 6 hours a week
LQ 4.2 hours
UQ 7.8 hours
LQ = 4.2 hours
UQ = 7.8 hours
IQR = 7.8 -4.2 = 3.6 hours
3.6 hours is 3 hours and 36 minutes
www.missbsresources.com
SkillQuestionsScoreAvailable
Marks To calculate thecumulative frequency so that you can correctly draw the graph
1, 2,6c5
Find a value for the median.4, 6a2
Findthe upper and lower bounds to calculate the
interquartile range. 53
Solve problemsusing a cumulative frequency graph. 3, 6b, 6d8
Total Marks18
Cumulative Frequency
6. Adam took a sample of 100
chocolates from box A of chocolates.
He weighed each chocolate and
recorded it͛s weight.
He used the information to draw the
cumulative frequency graph shown on the grid.
Use the cumulative frequency graph
to find an estimate for a)The median weight of the chocolates. b)The number of chocolates with a weight more than
120 grams
Weight of chocolate (grams)
20 40
60
80
100
04080120160200
Adam also took a sample of 100 chocolates from a different branded box of chocolates. The table shows the distribution of weights of the chocolates from Box B. c)On the same grid, draw the cumulative frequency graph for the information shown in the table. d)Work out the probability that the weight of a chocolate from Box A is more than 120g andthe weight of a chocolate from Box B is more than 120g.
Weight
(w grams)
Cumulative
Frequency
-൏ݓͶ-4 -൏ݓͺ-32 -൏ݓͳ--56 -൏ݓͳ-82 -൏ݓ---100 /4 /2 /2 /1
Answers
84g per chocolate
72 weigh less than 120g
So 100 -72 = 28 chocolates weight more than 120g.
Box A 28 chocolates weight more than 120g.
Box B 44 chocolates weight more than 120g.
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