TeeJay Publishers General Homework for Book 3G Ch 12 - statistics. Statistics. Number of Women

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1 Statistics Homework Chapter 1 Eercise 1 1. This bar chart shows the popularity of TV Soaps indicated by a group of women. How many Eastenders fans were there? What was the most popular soap? What was the least popular? Number of Women (d) How many more women preferred Corrie to Eastenders? (e) How many women took part altogether? (f) What fraction of the total number of women preferred Coronation Street?. The temperature on top of an office block was taken every morning at am. This line graph was made up from the recordings. 4 0 Corrie E enders B Side N Bours H & Away Favourite Soap temperature ( C) M T W Th F Sa Su M T W Th F Sa Su week 1 week 1 What was the temperature on :- (i) the Wednesday of week 1? (ii) the Friday of week? What was the fall in temperature from Tuesday, week - until Friday, week? Between which two days was there the biggest rise in temperature? (d) What was the trend from Wednesday to Saturday of the first week? this is Chapter Twelve page 63 cont d...

2 3. In a survey, 60 people indicated on which TV channel they generally watched the news. The result of the survey is shown in this pie chart. Which channel attracted the largest numbers? Which was the least popular? What fraction of the 60 people surveyed listened to the news on : (i) STV? (ii) Ch5? (iii) BBC? (d) How many of the 60 people asked preferred : (i) STV? (ii) Ch5? (iii) BBC? Ch5 BBC STV Eercise 1. The scattergraph shows the height and weight of si boys. What height is Ale? What weight is Neil? Which two boys are the same height? (d) Who is the lightest? (e) Who is the shortest? height (m) Ale Tam weight (kg) Bob Eric Neil John. This graph shows a relation between the temperature during the day and the sales of sun glasses in a shop on that day. Suggest a connection between the temperature and the sales of sun glasses. Use the graph to estimate the number of pairs of sun glasses which might be sold when the temperature reaches 35 degrees. Estimate what the temperature was when 0 pairs of sun glasses were sold? Sales of sun glasses Temperature C this is Chapter Twelve page 64

3 3. This scattergraph shows the prices garages charge for a litre of petrol and the distance each garage is from the nearest big city. Suggest a connection between the price and the number of miles travelled. How much does the petrol station that is 70 km from Dundee charge? Use the chart to make a reasonable guess at how much a petrol station, 60 km from Edinburgh, might charge. cost per litres (p) distance from city (km) Eercise E 1. A group of people of various ages were asked a series of twenty general knowledge questions. The scattergraph shows the results. Describe the general trend of the graph. The line of best fit has been drawn. Use the line to estimate how many questions Ted, aged 60, might get correct. Scott got 13 of the 0 questions correct. Estimate Scott s age.cise 3 number of questions correct Age this is Chapter Twelve page 65

4 . This table shows the connection between the weights of a group of women and their dress sizes. Weight (kg) Dress size Neatly draw the set of ais showing weights from 40 kg to 0 kg and dress sizes from size 6 to size 0. 1 Neatly plot the information about the 15 women in your graph. Draw the line of best fit, trying to have as many points above as there is below the line. Dress size 10 6 (d) From your line, estimate the size of dress worn by Millie who weighs 54 kilograms Weight (kg) Eercise 3 1. The stem and leaf diagram shows the number of pints of lager sold in a country pub each night over a 3 week period. Write out the nightly sales, in order, and find how many nights the sales were more than the target of 50 pints = 41. Sandy s Corner Shop stem leaf = 319 This stem and leaf diagram shows the daily takings over a fortnight (in s) for Sandy s Corner Shop. Write out (in order) the fourteen daily takings in s. On how many days were the takings under 400? The first Saturday was the best day for takings. How much was in taken that Saturday? cont d... this is Chapter Twelve page 66

5 3. The ages of the workers at Thomson s Bakery are shown below. Thomson s Workers 7 3 = 3 years The stem-and-leaf diagram has not been drawn in order. Redraw the stem-and-leaf diagram so that the ages are now in order. What age was the : (i) youngest worker? (ii) second youngest? Bill is the oldest at Thomson s. He will retire in years time. What age will he be when he retires? Eercise 4 1. This table shows the daily rainfall (in millimetres) in Barcelona from November to May. Draw a BAR CHART to show the information. Nov Dec Jan Feb Mar Apr May The number of cars in a city centre car park are shown at various times below. Time am 10am noon pm 4pm 6pm Cars in park Show the above data in a neatly labelled LINE GRAPH. Describe the general trend of the graph. 3. Shown is a table of test marks (out of 50) for two Maths Tests. Pupil Ed Kim Joe Ann Lyn Bob Tom Test Test Draw a scatter diagram, like this, plotting the information from the table. Tina scored 30 in Test 1. From your graph, estimate what she might score in test. Test this is Chapter Twelve page 67 Test 1

6 Eercise 5 1. The Range (= HIGHEST LOWEST). For each set of data, find the RANGE of numbers : 7, 9,, 1, 6, 15,, 7, 10, 10, 1, 5, 9, , 57, 44, 11, 33,, 6, 1, 4,, 74,, 15, 7.. The Mode (The number that appears MOST often). For each set of data, find the MODE : 4, 4, 6, 6, 6,,,,, 10, 10, 10, 10, 10, 10, 1, 1, 14,, 1. 17, 5, 11, 5, 3, 17, 13, 7, 5, 19, 7, 11, The Median (This is the MIDDLE score) (Make sure you put the numbers in order first) For each set of data, find the MEDIAN : 5, 6, 6, 7,, 9, 9, 10, 11., 1, 1, 0, 4, 6,, 3. 17, 9, 3, 9, 9, 5, 7, 13, 11, 15, 15, 9, 9, 7, 1, 1, 17, 15, 13, 13, Find the Mean of :, 10, 1, , 50, 3, 41, 6, 50., 5,, 6, 0, 11. (d) 9 1 cm, 10 3 cm, 7 6 cm, 4 1 cm, 3 9 cm. 5. Tom sat two mental tests (each out of 10). His mean score for the tests was 6. If Tom scored 9 in the first test, what must he have scored in the second? 6. The mean weight of 3 women, Eva, Maria and Theresa was 41 kilograms. Eva weighs 37 kilograms and Maria weighs 4 kilograms.. What must Theresa s weight be? (this is tricky) this is Chapter Twelve page 6

7 Eercise 5E 1. The frequency table shows the colour of blouses worn by a group of women at a party. How many ladies wore Pink blouses? How many ladies took part in the survey? How many wore a Green or Lemon blouse? (d) (e) How many more Pink blouses were there than Blue blouses? What fraction of the group had on a Pink blouse? Colour of Blouse Frequency White Blue 6 Pink 1 Green 3 Lemon 1. At a Sunday School dance, a note was made of the ages of the children Draw up a frequency table and use the tally marks to transfer each age into the table. Fill in the 3rd column (the frequency). How many children were at the dance? Do not cross out these numbers (d) How many of the group were under 7 years of age? Age Tally Frequency 3. This bar chart shows the favourite computer game chosen by a group of schoolboys number of children Zapman Mad Races X-men Zena Spidy favourite game How many more pupils chose Spidy than X-men? Game Zapman Frequency Make up a frequency table to show how many of each game was chosen. this is Chapter Twelve page 69

8 Eercise 6E 1. This frequency table shows the length of a sample of bolts produced in a factory. Calculate the RANGE of lengths (highest lowest) What is the modal length of bolts? (the MODE) How many bolts were measured in the sample? (d) Which one will give you the MEDIAN? (the 7th, th, 9th, 10th,?) (e) Write down the MEDIAN. Length millimetres Frequency No. of A group of primary pupils were asked Frequency Pets to say how many pets they had at home What was the range? What was the modal number of pets? How many children were surveyed? (d) What was the median? 3. The collar size of a group of men at a wedding was recorded. Collar size Tally Frequency Copy this frequency table and use tally marks to help complete the last columns. Draw a neat labelled bar graph to show this information. What is the range of collar sizes? (d) What is the mode? (e) How many men volunteered the information? (f) Find the median collar size. this is Chapter Twelve page 70

9 Eercise 7E 1. A group of 40 year old drivers were surveyed on the number of cars they had owned. The results are shown in the table opposite. How many drivers were surveyed? Copy the frequency table and complete it including the two totals. Calculate the mean number of cars which drivers owned. (d) What was the mode? (e) What was the median? (f) Write down the range of number of cars. Number of frequency cars () (f) f = Total :. For each of the following : (i) Copy the table. (ii) Add on a third column (f ) (iii) Calculate the mean in each case Goals Frequency Scored () (f) mean goals scored =? f Amount Frequency paid ( ) (f) mean amount paid =? this is Chapter Twelve page 71