Mathematics - Foundation Module 1 - Statistics November 2004 Section B ( Non Calculator)

1. Mathematics - Foundation Module 1 - Statistics November 2004 Section B ( Non Calculator) Question 5 pictogram Question 6 median and mode Question 7 probability spinner etc Question 8 stem and leaf diagram Question 9X scatter graph Question 9 draw frequency diagram, criticise questionnaire

2. 5. Danny records the number of hours of sunshine each day in a table. a) How many more hours of sunshine were there on Monday than on Tuesday? Monday – 11 Tuesday - 8 3 more on Monday 1 Mark b) On Saturday Danny recorded 5 hours of sunshine. Complete the pictogram. You need to draw 2 complete suns and one half sun for full marks 2 Marks

3. 6. Twelve adults were asked how many keys were on their key ring. Their replies were: 8 6 4 9 4 7 6 3 4 6 4 2 a) Work out the median number of keys Arranging in numerical order: 2 3 4 4 4 4 6 6 6 7 8 9 The median is between the 6th and 7th value Answer is 5 2 Marks b) Write down the mode Answer 4 1 Mark

4. 7. A fair five-sided spinner has one section coloured red, one blue, one green, and two white. The spinner is spun once a) Which is the most likely colour the spinner will land on? 1 Mark Answer - white What is the probability that the spinner will land on red? Answer 1/5 1 mark Write down the Probabilities of the following events: Throwing a fair coin and gettinga head Answer ½ or 0.5 Throwing a five with a fair 6 sided dice Answer 1/6 3 Marks Picking a black pen from a box of blue pens Answer 0

5. 8. The number of letters received each day by a school is shown in the ordered stem – and - leaf diagram below. • 0 6 6 7 8 • 2 2 2 4 7 8 • 2 0 3 7 7 9 Key 1 8 represents 18 letters On how many days did the school receive 6 letters? 2 1 Mark What was the highest number of letters received? 29 1 Mark When the number of letters for another day is included in the data, the range increases by 1. How many letters did the school receive on that day? Write down 2 possible answers. 2 Marks Answer 5 or 30

6. 9X) Write down the type of correlation shown in each of the scatter graphs A and B Answer A is Negative Answer B is Zero Correlation 2 Marks The Marks for a group of pupils who sat two tests are shown in the Scatter graph below. 1 Mark Draw a line of best fit Use your line of best fit to estimate the Test 1 mark for a pupil who scored 50 in test 2. Answer about 60 1 Marks

7. 9. A manager recorded how long each customer spent in his shop. The table shows his results. Draw a frequency diagram to show the results. 30 F 3 Marks 20 You can draw a frequency diagram or a frequency polygon 10 What is the modal class? 10 < t ≤ 20 1 Mark t 10 20 30 40

8. 9c) As each customer left the shop the manager gave them a questionnaire containing the following questions: Question: How much money did you spend in the shop today? Response: less than £10 Less than £20 less than £30 £30 or more Write down one reason why the response section of the question is not suitable. Answer : There are overlapping intervals. 1 mark