Maths Lit Worksheet - Statistical Displays
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SAEP Matric Success – Zisukhanyo Maths Lit Worksheet Tuesday 17th March 2009 Statistical displays 1. Learners going on a sport tour have the opportunity at the end of the tour to do one of the following: going to a movie theatre to see Hamlet; going to a live performance of a local pop star; going to a theatre to see a live comedy show; going to the zoo or going to the circus. They filled in the form below listing their preferences in order 1 to 5 for each activity that they could attend, 1 being the first choice and 5 last choice. Hamlet 1 3 1 2 5 5 1 1 3 1 2 5 1 1 5 3 5 5
Pop star 2 5 4 3 2 1 3 4 4 2 3 4 2 2 1 2 3 4
Comedy show 5 2 2 4 3 2 4 5 1 3 1 3 3 3 4 1 2 3
Zoo 3 1 5 1 4 3 2 3 2 4 4 1 5 4 2 4 1 2
Circus 4 4 3 5 1 4 5 2 5 5 5 2 4 5 3 5 4 1
a) Make a tally chart for each activity, like the one below that has been started for Hamlet Preference 1 2 3 4 5
Tally II I I
b) Which activity has been given most first choices? c) Which activity has been given most last choices?
Frequency (f)
2. 100 students were asked about the type of relaxation they prefer in a school term. a) Copy and complete the table: Boys Girls Total
Sleep 11 4
Read 3 25
Television 9 24
Sport
Other 49 100
b) How many students were doing sport for relaxation? 3. Thembi bakes for a home industry shop. Her Crunchy Surprise is very popular. Draw a pie chart to illustrate the ingredients for the recipe: 350 g rice flakes 100 g margarine 300g marshmallows 200 g white chocolate 50 g brown sugar 4. Construct a bar graph of the top 10 countries who won gold medals for the summer Olympics held from 1896 – 2000. Country USA USSR France Great Britain Italy Germany East Germany Hungary Sweden Australia
Gold Medals 872 485 189 188 179 165 151 150 138 103
5. A school recorded the number of Grade 12 candidates who achieved the following grades in their subjects: E: 31 D: 57 C: 89 B: 92 A: 23 Represent the data on: a) a bar graph b) a compound bar graph 6. A local hospital wanted to summarise and display the ages of patients that were admitted over a period of time. The results are in the table below: Age in years 0 ≤ age < 20 20 ≤ age < 30 30 ≤ age < 40 40 ≤ age < 50 50 ≤ age < 70 70 ≤age < 100
Frequency 56 72 96 45 135 36
a) To draw the histogram you must first calculate frequency density. Copy and complete the table below by calculating the frequency density. Age in years 0 ≤ age < 20 20 ≤ age < 30 30 ≤ age < 40 40 ≤ age < 50 50 ≤ age < 70 70 ≤age < 100
Frequency width 20 10 10 10 20 30
Frequency 56 72 96 45 135 36
Frequency density 56/20 = 2,8
b) Draw a histogram of the data. 7. a) Use the information given in the table below and draw a line graph for the projected population in our major cities. City 2000 Cape Town 2 715 Durban 2 370 Gauteng 2 732 Urban population (thousands)
2005 3 083 2 631 3 254
2010 3 316 2 804 3 574
2015 3 401 2 876 3 674
b) What is the trend for populations in our major cities? c) Draw a line graph of the urban population in South Africa from 2000 to the projected population in 2030. On the same set of axes, draw a broken-line graph of the rural population in South Africa for the same period. South Africa Urban population (thousands) 2000 – 2030 Year Urban population 2000 25 948 2005 28 119 2010 29 505 2015 30 722 2020 32 017 2025 33 312 2030 34 523
South Africa Rural population (thousands) 2000 – 2030 Year Rural population 2000 19 662 2005 19 313 2010 18 314 2015 17 181 2020 16 083 2025 14 985 2030 13 882
d) What do you think this trend means for rural areas?
Pop star 2 5 4 3 2 1 3 4 4 2 3 4 2 2 1 2 3 4
Comedy show 5 2 2 4 3 2 4 5 1 3 1 3 3 3 4 1 2 3
Zoo 3 1 5 1 4 3 2 3 2 4 4 1 5 4 2 4 1 2
Circus 4 4 3 5 1 4 5 2 5 5 5 2 4 5 3 5 4 1
a) Make a tally chart for each activity, like the one below that has been started for Hamlet Preference 1 2 3 4 5
Tally II I I
b) Which activity has been given most first choices? c) Which activity has been given most last choices?
Frequency (f)
2. 100 students were asked about the type of relaxation they prefer in a school term. a) Copy and complete the table: Boys Girls Total
Sleep 11 4
Read 3 25
Television 9 24
Sport
Other 49 100
b) How many students were doing sport for relaxation? 3. Thembi bakes for a home industry shop. Her Crunchy Surprise is very popular. Draw a pie chart to illustrate the ingredients for the recipe: 350 g rice flakes 100 g margarine 300g marshmallows 200 g white chocolate 50 g brown sugar 4. Construct a bar graph of the top 10 countries who won gold medals for the summer Olympics held from 1896 – 2000. Country USA USSR France Great Britain Italy Germany East Germany Hungary Sweden Australia
Gold Medals 872 485 189 188 179 165 151 150 138 103
5. A school recorded the number of Grade 12 candidates who achieved the following grades in their subjects: E: 31 D: 57 C: 89 B: 92 A: 23 Represent the data on: a) a bar graph b) a compound bar graph 6. A local hospital wanted to summarise and display the ages of patients that were admitted over a period of time. The results are in the table below: Age in years 0 ≤ age < 20 20 ≤ age < 30 30 ≤ age < 40 40 ≤ age < 50 50 ≤ age < 70 70 ≤age < 100
Frequency 56 72 96 45 135 36
a) To draw the histogram you must first calculate frequency density. Copy and complete the table below by calculating the frequency density. Age in years 0 ≤ age < 20 20 ≤ age < 30 30 ≤ age < 40 40 ≤ age < 50 50 ≤ age < 70 70 ≤age < 100
Frequency width 20 10 10 10 20 30
Frequency 56 72 96 45 135 36
Frequency density 56/20 = 2,8
b) Draw a histogram of the data. 7. a) Use the information given in the table below and draw a line graph for the projected population in our major cities. City 2000 Cape Town 2 715 Durban 2 370 Gauteng 2 732 Urban population (thousands)
2005 3 083 2 631 3 254
2010 3 316 2 804 3 574
2015 3 401 2 876 3 674
b) What is the trend for populations in our major cities? c) Draw a line graph of the urban population in South Africa from 2000 to the projected population in 2030. On the same set of axes, draw a broken-line graph of the rural population in South Africa for the same period. South Africa Urban population (thousands) 2000 – 2030 Year Urban population 2000 25 948 2005 28 119 2010 29 505 2015 30 722 2020 32 017 2025 33 312 2030 34 523
South Africa Rural population (thousands) 2000 – 2030 Year Rural population 2000 19 662 2005 19 313 2010 18 314 2015 17 181 2020 16 083 2025 14 985 2030 13 882
d) What do you think this trend means for rural areas?
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