8/11/2019 Data Handling for 4ths

1/12

Q1. Ian sells cans of drinks.

(a) The table shows the percentages of drinks sold on Monday morning.

Drink Percentage Sold

Cola 30%

Lemonade 20%

Orange 50%

Draw a pie chart for the data.

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

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

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

(4)

Page

8/11/2019 Data Handling for 4ths

2/12

(b) The pictogram shows information about the drinks sold on Monday afternoon.The key is missing.

80 cans were sold that afternoon.

How many cans of cola were sold?

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

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

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

Answer ......................................................................(3)

Cola

Lemonade

Orange

(c) 80 cans were also sold in the morning.

(i) Write down one difference between the cans sold in the morning and in theafternoon.

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

............................................................................................................... (1)

(ii) Ian orders more cans.

Which flavour should he order least of, based on Mondays sales?Circle your answer.

Cola Lemonade Orange(1)

(Total 9 marks)

Page 2

8/11/2019 Data Handling for 4ths

3/12

Q2. (a) The pie chart shows the ways that 30 pupils travel to school.

On the grid below, draw and label a bar chart to represent the same information.

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

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

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

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

(4)

Page 3

8/11/2019 Data Handling for 4ths

4/12

(b) The pupils who walked to school took these times in minutes.

5 12 7 14 23 11 18 10 8 11

Draw an ordered stem and leaf diagram to show this information.

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

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

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

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

Key: 1 2 represents 12 minutes

(3)

(Total 7 marks)

Q3. A fisherman catches 50 fish.The table shows information about the lengths of the fish.

(a) Complete the table.

(1)

Length, l(inches) FrequencyCumulativefrequency

5 < l 10 6 6

10 < l 15 20 26

15 < l 20 13

20 < l 25 8

25 < l 30 3

Page 4

8/11/2019 Data Handling for 4ths

5/12

(b) Draw a cumulative frequency diagram for the data.

(3)

(c) The fisherman can only sell fish that are longer than 12 inches.

Work out an estimate for the fraction of fish that he can sell.

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

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

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

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

Answer ......................................................................(3)

(Total 7 marks)

Page 5

8/11/2019 Data Handling for 4ths

6/12

Q4. The stride lengths of 18 boys in Class A are shown to the nearest centimetre.

76 78 81 69 86 90 78 72 83

77 78 88 90 77 83 89 79 91

(a) Show the data in an ordered stem-and-leaf diagram.Remember to complete the key.

Key: ...... |...... represents .................. cm

(4)

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

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

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

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

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

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

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

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

(b) The stride lengths of the boys in Class B are summarised in the table.

(i) Compare the stride lengths of the two classes of boys.

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

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

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

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

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

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

............................................................................................................. (4)

Median 86 cm

Range 18 cm

Page 6

8/11/2019 Data Handling for 4ths

7/12

(ii) Do you think the boys in Class B are older than the boys in Class A?Give a reason for your answer.

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

............................................................................................................. (1)

(Total 9 marks)

Q5. A teacher asks 40 boys to solve a problem.She records the time taken only if a correct answer is given.The times are shown.

(a) Show that the percentage of boys who give a correct answer is 60%.

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

...................................................................................................................... (2)

Page

8/11/2019 Data Handling for 4ths

8/12

8/11/2019 Data Handling for 4ths

9/12

Calculate an estimate of the mean reaction time with glasses.

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

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

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

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

Answer ....................................................... seconds(4)

(b) The grid shows a frequency polygon for her reaction time without glasses.

On the same grid draw a frequency polygon for her reaction time with glasses.

(2)

Page 9

8/11/2019 Data Handling for 4ths

10/12

(c) An estimate of the mean reaction time without glasses is 0.347 seconds.

Make two comparisons between reaction time with and without glasses.

Comparison 1 ................................................................................................

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

Comparison 2 ................................................................................................

........................................................................................................................ (2)

(Total 8 marks)

Q7. Six pupils took a spelling test.

(a) Plot the data on the scatter diagram.

(2)

Time spent revising (minutes) 10 15 35 40 45 50

Number of mistakes made in the test 14 11 5 5 2 3

(b) A pupil revised for 25 minutes.

Use a line of best fit to estimate the number of mistakes he made.

Answer ......................................................................(2)

Page 10

8/11/2019 Data Handling for 4ths

11/12

(c) Another pupil in the class revised for 75 minutes.

Did she make any mistakes?Tick a box.

(1)

(Total 5 marks)

Q8. The histogram shows information about how much time was spent in a supermarket by100 shoppers.

(a) Complete this frequency table:

(2)

Time, t(minutes) 0 < t 5 5 < t 20 20 < t 30 30 < t 60 60 < t 80

Number of shoppers 6 15 25

(b) 20% of the shoppers are in the supermarket for more than Tminutes.Calculate an estimate of the value of T.

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

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

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

Answer .................................................(2)

(Total 4 marks)

Yes No Cannot tell

Page 1

8/11/2019 Data Handling for 4ths

12/12