Cumulative Frequency Diagrams Question Paper 1

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1 Frequency Diagrams Question Paper 1 Level Subject Exam Board IGCSE Maths Edexcel Topic Handling Data Statistics Sub Topic Frequency Diagrams(Graphical representation of data) Booklet Question Paper 1 Time Allowed: Score: Percentage: 54 minutes /45 /100 Grade Boundaries: A* A B C D E U >85% 75% 70% 60% 55% 50% <50%

2 1 The table shows information about the weights of 80 parcels. Weight (w kg) Frequency 0 < w < w < w < w < w < w 12 5 (a) Work out an estimate for the total weight of the 80 parcels. (b) Complete the cumulative table.... kg (3) Weight (w kg) 0 < w 2 0 < w 4 0 < w 6 0 < w 8 0 < w 10 0 < w 12 (1)

3 (c) On the grid, draw a cumulative graph for your table O Weight (w kg) (d) Use the graph to find an estimate for the number of parcels which weighed less than 5.2 kg.... (Total for Question 1 is 8 marks)

4 2 The grouped table gives information about the ages of 200 elephants. Age (t years) Frequency 0 < t < t < t < t < t < t (a) Complete the cumulative table. Age (t years) 0 < t 10 0 < t 20 0 < t 30 0 < t 40 0 < t 50 0 < t 60 (1)

5 (b) On the grid, draw a cumulative graph for your table O Age (t years) x (c) Use the graph to find an estimate for the number of elephants with ages of more than 26 years.... (Total for Question 2 is 5 marks)

6 3 The cumulative graph gives information about the lengths, in minutes, of 80 telephone calls O Length of call (minutes) (a) Find an estimate for the number of calls which were longer than 15 minutes. (b) Find an estimate for the interquartile range of the lengths of the 80 calls minutes (Total for Question 3 is 4 marks)

7 4 The grouped table gives information about the lengths of 160 pythons. Length (x metres) Frequency 0 x x x x x x 6 28 (a) Complete the cumulative table. Length (x metres) 0 x 1 0 x 2 0 x 3 0 x 4 0 x 5 0 x 6 (1)

8 (b) On the grid, draw a cumulative graph for your table O Length (x metres) (c) Use your graph to find an estimate for the median length of the pythons.... metres (Total for Question 4 is 5 marks)

9 5 The cumulative table shows information about the diameters of 60 oranges. Diameter (d mm) d d d 80 d 90 d 100 d (a) On the grid, draw a cumulative graph for the table Diameter (d mm) (b) Use your graph to find an estimate for the median diameter of the 60 oranges.... mm (Total for Question 5 is 4 marks)

10 6 The grouped table gives information about the weights of 180 airmail letters. Weight (w grams) Frequency 0 < w < w < w < w < w < w (a) Complete the cumulative table. Weight (w grams) 0 < w 20 0 < w 40 0 < w 60 0 < w 80 0 < w < w 120 (1)

11 (b) On the grid, draw a cumulative graph for your table O Weight (w grams) (c) Find an estimate for the upper quartile of the weights of the 180 letters.... grams (Total for Question 6 is 5 marks)

7 A box contains 80 tea bags. The table shows information about the weight of each tea bag. Weight (w grams) Number of tea bags 2.8 < w 2.9 2 2.9 < w 3.0 4 3.0 < w 3.1 22 3.1 < w 3.2 32 3.2 < w 3.

12 7 A box contains 80 tea bags. The table shows information about the weight of each tea bag. Weight (w grams) Number of tea bags 2.8 < w < w < w < w < w < w (a) Work out the percentage of the 80 tea bags that weigh more than 3.1 grams.... % (b) Work out an estimate for the total weight of the 80 tea bags. Use halfway values of 2.85 grams, 2.95 grams, grams (3)

13 Here is a cumulative graph for the weights of the 80 tea bags Weight (w grams) (c) Use the graph to find an estimate for the number of tea bags which weighed more than 3.25 grams. (d) Use the graph to find an estimate for the interquartile range of the weights of the tea bags grams (Total for Question 7 is 9 marks)

14 8 The grouped table gives information about the lengths of time 160 students exercised one day. Time (t minutes) (a) Complete the cumulative table. Frequency 0 < t < t < t < t < t < t Time (t minutes) 0 < t 40 0 < t 80 0 < t < t < t < t 240 (1)

15 (b) On the grid, draw a cumulative graph for your table O Time (t minutes) (c) Use your graph to find an estimate for the lower quartile of the lengths of time the 160 students exercised.... minutes (Total for Question 8 is 5 marks)

Descriptive Statistics Practice Problems (99-04)

Descriptive Statistics Practice Problems (99-04) 1. One thousand candidates sit an examination. The distribution of marks is shown in the following grouped frequency table. Marks 1 10 11 20 21 30 31 40