Data 1 Assessment Calculator allowed for all questions

Transcription

1 Foundation Higher Data Assessment Calculator allowed for all questions MATHSWATCH All questions Time for the test: 4 minutes Name: MATHSWATCH ANSWERS Grade Title of clip Marks Score Percentage Clip 84 D Data collection (qu. ) Clip 8 D Two-way tables (qu. ) Clip 8 D Pie charts (qu. ) Clip 87 D Scatter graphs (qu. 4) Clip 88 D Frequency diagrams (qu. ) Clip C Averages from a table (qu. ) Clip 8 D Stem and leaf diagrams (qu. 7) Clip C Estimate for the mean (qu. 8) Clip 4 C Questionnaires (qu. ) 4 Clip 0 D List of outcomes (qu. 0) Clip C Exclusive events (qu., ) 4 Clip C Experimental probability (qu., 4) 4 Clip B Cumulative frequency (qu. ) Clip B Box plots (qu. ) Clip B Tree diagrams (qu. 7) 7 Clip 4 B Tree diagrams (qu. 8) Out of 7 TOTAL SCORE % FINAL PERCENTAGE

2 ) Tony wants to know which sport pupils like watching on TV. Design a suitable data collection sheet he could use to gather the information. Sport Tally Frequency Football Cricket Rugby Athletics Swimming Other ) 80 students each study one of three languages. The two-way table shows some information about these students. French German Spanish Total Female Male Total of the 80 students are female. 4 of the 8 female students study French. Complete the two-way table. Page

3 ) Susan asked some people which region their favourite football team came from. The table shows her results. Region Frequency Midlands London Southern England Northern England 4 0 Angle Draw an accurate pie chart to show these results. Use Complete the circle the accurate given below. pie chart to show these results. Use the circle given below. Northern England Midlands Southern England London Page

4 4) The table below shows the Module results for students. The results show what they got in Stage and Stage of their examination. Stage Stage The first results have been plotted on the scatter diagram below Stage Stage a) Plot the next six points. b) Draw a line of best fit. c) Describe the relationship between Stage and Stage results. Positive correlation d) If a pupil scored in the stage test, use the line of best fit to estimate their score in Stage. Page 4

5 ) 0 students take a maths test. The test is marked out of 0. This table shows information about the students marks. Maths mark Frequency 8 On the grid, draw a frequency polygon to show this information Frequency Maths mark Page

6 ) Twenty students scored goals for the school football team last month. The table below gives information about how many each of them scored. Goals scored Number of students a) What was the modal number of goals scored? b) What was the mean number of goals scored?.8 c) What was the median number of goals scored? 7) Jane measures the heights, in millimetres, of 0 plants in her greenhouse. Here are her results Complete the stem and leaf diagram to show this information. Stem Leaf means Page

7 8) The heights of 00 plants were measured and the results can be seen in the table below. Height(cm) Frequency 0 < h < 0 0 < h < 0 0 < h < < h < < h < 0 8 MP 4 MP F Work out an estimate for the mean height of the plants. (Show all workings) 0 00 =. Estimate for the mean height is.cm ) Paul wants to find out how much time pupils in his class spend sleeping. The first question on his questionnaire is How long do you sleep? A lot Not much Very little a) Write down two things that are wrong with this question: st nd A lot, not much, etc mean different things to different people Is the question about amount of sleep in a day, week, month, etc? b) Design a better question, using tickboxes, that Paul could use. How long do you sleep each night? Less than hours? Between and 8 hours? More than 8 hours? Other answers are possible Page 7

8 0) If a coin is flipped and a dice is rolled a) How many different outcomes can there be? b) List all the possible outcomes H H H H4 H H T T T T4 T T ) If the probability of passing a driving test is what 7 is the probability of failing? 4 ) A box contains bricks which are orange or blue or brown or yellow. David is going to choose one brick at random from the box. The table shows each of the probabilities that David will choose an orange brick or a brown brick or a yellow brick. Colour Orange Blue Brown Yellow Probability Work out the probability that Duncan David will choose a blue brick. 0. ) On a biased dice, the probability of getting a is 0. If the dice is rolled 00 times, about how many sixes would you expect? 0 4) A biased dice is rolled and the results can be seen in the table. The dice is rolled once more. Use the table to work out an estimate for the probability that a six will be rolled. 00 Score Frequency Page 8

9 ) The height of 4 plants were measured and can be seen in the table on the right. a) Complete the cumulative frequency table below Height (cm) 0 < h < 0 0 < h < 0 0 < h < 0 0 < h < 40 Cumulative Frequency Height (cm) Frequency 0 < h < 0 0 < h < < h < < h < < h < 0 0 < h < 0 0 < h < 0 0 < h < 0 4 b) Draw a cumulative frequency graph for your table. c) Use your graph to find the interquartile range. CF 80 Interquartile range is UQ LQ Height Page

10 ) The incomplete box plot and table show some information about some marks Mark Mark Lowest mark Lower quartile 0 Median 8 Upper quartile Highest mark 7 Interquartile range a) Use the information in the table to complete the box plot. b) Use the information in the boxplot to complete the table. 7) Ben and David each take a driving test. The probability that Ben will pass the test is 0. Ben David The probability that David will pass is 0. a) Complete the probability tree diagram. 0. Pass Pass Fail Pass Fail Fail b) Work out the probability that both Ben and David will pass the driving test 0.4 c) Work out the probability that only one of them will pass the driving test 0.4 Page 0

11 8) There are green sweets and 4 red sweets in a bag. Tom takes a sweet, at random, from the bag and eats it. He then takes another sweet, at random, and eats it. a) Draw a tree diagram in the space below to show all the possibilities. Green 0 Green 4 Red 4 0 Red Green Red b) What is the probability that Tom ate two red sweets? c) What is the probability that Tom ate two different-coloured sweets? Page

12 Mark % Mark % Page