Year 10 Unit G Revision Questions You can use a calculator on any question. 1.) Find the mode, median, mean, range and interquartile range of each of the following lists. a.) 11, 13, 13, 16, 16, 17, 19, 20, 24, 24, 24, 25, 30 b.) 21, 36, 78, 45, 12, 19, 18, 17, 56, 60 c.) 1.9, 1.4, 1.3, 1.5, 1.4, 2.0, 1.1, 1.9, 1.2, 1.6, 2.3, 0.9 2.) The table below shows the favourite flavour of ice- cream of a group of students. Flavour Frequency Vanilla 7 Chocolate 10 Strawberry 4 Orange 6 Lemon 1 Tree 2 a.) What is the modal flavor? b.) What percentage of the group chose strawberry flavor? c.) Draw a bar chart for the data. d.) Draw a pie- chart for the data. 3.) The table below shows the number of legs that various chickens caught locally had. Number of legs 0 1 2 3 4 Frequency 7 11 16 1 1 a.) Find the modal number of legs. b.) Find the median number of legs c.) Find the mean number of legs. d.) Find the range of the number of legs. e.) Find the interquartile range of the number of legs. 4.) The table below shows the distribution of the weight of some frogs. Weight (w g) 0 < w 50 50 < w 100 100 < w 120 120 < w 140 140 < w 160 160 < w 200 200 < w 250 Frequency 17 20 13 16 18 9 4 a.) Calculate an estimate of the mean weight of the frogs. b.) Draw a cumulative frequency curve for the weight of the frogs. c.) Use your graph to calculate the median and interquartile range of the weight of the frogs. d.) Use your graph to estimate percentage of frogs that weighed more that 110g. e.) Draw a histogram for the data.
5.) The table below shows the time that it took a group of Year 10 students to annoy Mr. K from the start of the lesson. Time (t secs) 0 < t 5 5 < t 10 10 < t 20 20 < t 30 30 < t 45 45 < t 60 60 < w 90 Number of 16 17 20 38 14 5 2 students a.) Use the data given to calculate an estimate of the mean time. b.) Draw a histogram for the data in the table. c.) From your histogram estimate the number of people who took between 15 and 25 seconds to annoy Mr. Knowles. 6.) The table below shows the number of times that a frog cried each day over the course of 50 days. Number of times 3 4 5 6 7 8 Frequency 5 9 10 17 7 2 For the data given in the table, find the mean, median, mode, range and interquartile range. 7.) The cumulative frequency curve below shows the marks achieved by students in a French test. a.) How many students sat the test? b.) How many students scored between 20 and 30 marks? c.) Estimate the median mark in the test. d.) The French teacher decided that 80% of those who sat the test should pass the test. What does this mean the pass mark for the test should be?
8.) A dance school has the following numbers of students. Ages 5 10 Ages 11 13 Ages 14 16 Ages 17+ Boys 40 26 8 4 Girls 38 37 26 12 a.) Calculate an estimate of the mean age of the boys. b.) Calculate an estimate of the mean age of the girls. c.) Valeria says that to find the mean of all the people in the school you only need to add the answers to (a.) and (b.) together and divide by 2. Is Valeria correct? You must explain your answer. 9.) A class of 14 students sat an English test. The teacher said that if the mean score is at least 60 marks there will be a party. Thirteen students sit the test and get an average mark of 58. How much will the fourteenth student have to get in the test so that the class can have the party? 10.) A football team has 8 English and 3 Scottish players. The mean height of the English players is 1.85m and the mean height of the Scottish players is 1.94m. What is the mean height of the whole team? 11.) The histogram below shows the height of some very small people. a.) How many people had a height less that 90cm? b.) Approximately how many people had a height between 85cm and 100cm?
12.) Create frequency tables for the histograms shown in parts (a.) and (b.) a.) b.) 13.) Five numbers have a range of 13, a median of 10, a mode of 10, a mean of 11.8 and the second largest number is 12. Find the five numbers. 14.) The data below shows the temperature in a city every hour on a given day. Time 8am 9am 10am 11am 12pm 1pm 2pm 3pm 4pm Temperature 7ºC 9ºC 12ºC 14ºC 16ºC 17ºC 17ºC 15ºC 13ºC (a.) Draw a line graph for this data. (b.) Johnny looks at the weather app on his phone, for this city on that day, and it says the maximum temperature was 18ºC. Johnny then says that the data in the table above must be wrong. Is Johnny correct?
15.) The histogram and frequency table shown are for the same set of data. Copy and complete both the table and the histogram. Weight (w kg) Frequency 0 < w 10 10 < w 15 15 < w 20 40 20 < w 30 70 30 < w 40 80 40 < w 60 60 < w 100 60
e.) ANSWERS!!! Ex. A 1a.) Mode = 24 Median = 19 Mean = 19.4 Range = 19 IQR = 24 14.5 = 9.5 b.) Mode = No Mode! Median = 28.5 Mean = 36.2 Range = 66 IQR = 38 c.) Mode = 1.4 & 1.9 Median = 1.45 Mean = 1.54 Range = 1.4 IQR = 0.65 2a.) Chocolate b.) 13.3% c.) d.) Frequency 10 8 6 4 2 0 Vanilla Chocolate Strawberry Orange Lemon Tree Flavour Lemon Tree Vanilla Orange Strawberry Chocolate 3a.) 2 b.) 1.5 c.) 1.39 d.) 4 e.) 1 4a.) 101.6 g b.) c.) Median = 118 (approx.), IQR = 80 (approx.) d.) 57.6% (approx.)
5a.) 21.0 b.) c.) 29 6.) Mean = 5.36 Mode = 6 Median = 6 Range = 5 IQR = 2 7a.) 60 b.) 22 c.) 25 (approx.) d.) 14 (approx.) 8a.) 10.4 b.) 11.9 c.) No! There are more girls than boys, etc. 9.) 86 10.) 1.87m 11.) Weight (h cm) Frequency 65 < h 75 2 75 < h 80 7 80 < h 90 21 90 < h 105 15 105 < h 110 12 12a.) Weight (w kg) Frequency 0 < w 20 80 20 < w 30 30 30 < w 40 25 40 < w 80 20 b.) Weight (h cm) Frequency 100 < h 140 24 140 < h 160 22 160 < h 180 32 180 < h 220 60 220 < h 260 12 13.) 7, 10, 10, 112, 20 14a.) Temperature (ºC) 20 15 10 5 0 8am 9am 10am 11am 12pm 1pm 2pm 3pm 4pm Time b.) Data in table is only for every hour. Temperature could have been higher between 1pm and 2pm. Therefore Johnny is wrong.
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