State whether each of these is qualitative or quantitative data.
(a)The colour of cars parked in a street.(1)
(b)The number of books each pupil has read this term.(1)
2
A class records the number of pets each pupil has: 0, 1, 2, 1, 3, 0, 1. Complete a tally chart and write the frequency for each category 0, 1, 2, 3.
(a)Fill in the tally and frequency for 0, 1, 2, 3 pets.(2)
3
The table shows shoe sizes of 10 pupils. Complete the tally column and the frequency column. Sizes: 2, 3, 3, 4, 2, 5, 3, 4, 2, 3. Categories: 2, 3, 4, 5.
(a)Tally and frequency for each size(3)
4
Give one advantage and one disadvantage of using tally marks when collecting data in class.
(a)Give one advantage.(1)
(b)Give one disadvantage.(1)
5
A survey asked 30 pupils which fruit they prefer. The frequency table below is partly completed. Fruit: Apple, Banana, Orange, Grapes. Frequencies: Apple 12, Banana 6, Orange ?, Grapes 5. Total 30. Find the frequency for Orange.
(a)Work out the missing frequency for Orange.(2)
(b)Explain briefly how you found the answer.(1)
6
Complete the grouped frequency table for shoe lengths (cm). Data from 12 pupils: 19, 21, 20, 22, 19, 23, 21, 20, 22, 24, 20, 21. Groups: 19-20, 21-22, 23-24.
(a)Fill in the frequencies for each group.(2)
7
A teacher records how many minutes pupils spend reading each night. The data for 8 pupils is: 10, 15, 20, 15, 25, 10, 30, 20. (a) Draw a frequency table for these exact values. (b) What is the mode of the data?
(a)Complete the frequency table with values 10, 15, 20, 25, 30.(2)
(b)State the mode.(1)
8
The heights (cm) of 7 plants are grouped: 10-14, 15-19, 20-24. The frequencies are 3, 2, 2 respectively. Write down which group contains the median plant height.
(a)Find the median group.(2)
(b)Explain your working briefly.(1)
9
A class asked 20 pupils how many times they used the school library last month. The grouped table is: 0-1: 6, 2-3: 9, 4-5: 5. How many pupils used the library less than 4 times last month?
(a)Calculate the number of pupils who used it less than 4 times.(2)
10
Here is a tally chart showing favourite school subjects for 12 pupils. Convert the tally chart into a frequency table. Maths: ||||, English: |||, Science: ||, History: ||, Art: |.
(a)Write the frequency table with the totals.(3)
11
A survey records the shoe colour of 9 pupils: black, brown, black, blue, black, brown, black, blue, black. (a) Make a tally chart and frequency table. (b) Which colour is most common?
(a)Tally and frequency for black, brown, blue.(1)
(b)Most common colour.(1)
12
Complete the frequency table and find the mean for the data set: 2, 3, 3, 4, 5, 3, 2. Provide the mean to one decimal place.
(a)Give the frequency for 2, 3, 4, 5.(1)
(b)Find the mean of the data, to one decimal place.(2)
13
A questionnaire asked 40 pupils how many games consoles they have at home. The grouped frequency table is: 0-1: 18, 2-3: 14, 4-5: 8. (a) Complete the cumulative frequency column. (b) Use the cumulative frequency to estimate the number of pupils with fewer than 3 consoles.
(a)Fill the cumulative frequencies for the groups in order.(2)
(b)Estimate how many pupils have fewer than 3 consoles.(2)
14
A tally chart records the number of siblings pupils have: tallies shown for categories 0, 1, 2, 3 as ||, ||||, |||, |. Write the frequencies for each category.
(a)Frequencies for 0, 1, 2, 3.(2)
15
The table shows the number of pets owned by 15 pupils: 0(5), 1(6), 2(3), 3(1). Using the frequency table, find the mode and the range of the data.
(a)State the mode.(1)
(b)Find the range.(2)
16
A teacher grouped ages of 20 pupils into 5-year intervals: 5-9, 10-14, 15-19. The frequencies are 7, 11, 2. Draw a simple bar chart sketch (bars labelled by group) showing these frequencies and state one conclusion you can make about the ages in the class.
(a)Sketch a bar chart with correct heights for each group (no need for exact scale).(2)
(b)State one conclusion from the bar chart.(2)
17
Stretch: A teacher records the number of times 25 pupils visited a museum: grouped table 0-1: 9, 2-3: 10, 4-5: 6. (a) Calculate the cumulative frequency table. (b) Use the cumulative frequency to find the median group and explain why this group contains the median pupil.
(a)Complete cumulative frequencies.(2)
(b)Find the median group and explain.(2)
18
Stretch: A teacher collected the time (minutes) pupils spent on a club each week and grouped them: 0-9 (8 pupils), 10-19 (12 pupils), 20-29 (5 pupils). Estimate the median time in minutes by assuming uniform distribution within the median group. Show working and give your answer to the nearest minute.
(a)Estimate the median time and give your answer to the nearest minute.(3)
Mark scheme · KS3.M-S2 Collecting Data, Tally and Frequency Tables