TT Maths (Modular) 4302 Practice paper Module 1(Statistics) Section B ( Non calculator)

TT Maths (Modular) 4302 Practice paper Module 1(Statistics) Section B ( Non calculator) Question 4 scattergraph and line of best fit Question 4X stem and leaf Question 5 draw a frequency polygon to compare Question 6 cumulative frequency and box plot Question 7 stratified sample Question 8 probability, population size.

4. Six pupils revise for a test. The scatter graph shows the time each pupil spent revising and their mark in the test. a) State the type of correlation shown by the graph Positive 1 Mark Explain why it would not be sensible to use the line of best fit to estimate the mark of a pupil who revised for 15 hours. 1 Mark No data around 15. The line may change from a linear relationship to a curve.

5. The time taken, in minutes, by each of 15 pupils to travel to school, is shown in the ordered stem and leaf diagram. Key 3 2 represents 32 minutes a) What is the probability that a pupil took less than 20minutes to travel to school? 2 Marks Ans 8 / 15 b) What was the median number of minutes taken to travel to school? 1 Mark 8 th reading :- 19

5c) Another pupil takes 37 minutes to travel to school. Tick the correct box to show what effect, if any, this has on 1) Median X decreases Stays the same Increases 2) The range X 2 Marks Increases decreases Stays the same

5. The year 9 girls in a school were asked how long they spent using a computer one day. The results are shown in the table. 2 marks Another frequency polygon shows the number of hours spent using a computer by the year 9 boys. Write down 2 comparisons. Comparison 1:- On average the boys spend more time on the computer. Comparison of average Comparison 2:- Girls use it for max. of 3-4hours, boys goes up to more than 5 hours. Boys spent longer than girls. Comparison of spread 2 Marks

6. The ages of 80 workers in a factory are represented by the CF diagram. The youngest worker is 17 and the oldest is 57. a) Those workers aged 50 or over were offered early retirement. Use the diagram to estimate how many workers were these. Reading off and subtractingfrom 80 Ans. 80 – 73 = 7 2 Marks b) Use the information in the diagram to draw a box plot on the grid above 10 20 30 40 50 60 3 Marks Median – 37, UQ – 44, LQ - 30

7. 500 pupils in a boarding school are divided into 3 houses. The number of pupils in each house is shown in the table. a) The headteacher decides to take a sample of 25 pupils to form a school council, stratified by house. Calculate the number of pupils chosen from each house. Kingfisher- 170/500 X 25 = 170/20 = 8.5 b) Explain how the teacher could choose the pupils from Magpie House Magpie- 120/500 X 25 = 6 Number each person and use random numbers on calculator. OR draw names out of a hat. Blackbird – 210/500 X 25 = 10.5 3 Marks 1 Mark

8. All the pupils at a stage school audition for parts in a musical. If a pupil is male then the probability of a part is 4/5. If a pupil is female then the probability of getting a part is 3/10. The probability that a pupil is male is 1/3. a) Calculate the probability that a pupil chosen at random gets the part in a musical. Gender Musical Part 4/5 M 1/3 1/5 No Part 2/3 3/10 Part F 7/10 No Part Prob. (part)- (1/3 X 4/5) + (2/3 X 3/10) = 4/15 + 6/30 = 8/30 + 6/30 = 14/30 = 7/15 b) 77 pupils get parts in the musical. How many pupils are there in the school? 3 Marks 7/15 X N = 77 → N = 165 2 Marks

TT Maths (Modular) 4302 Practice paper Module 1(Statistics) Section B ( Non calculator)