Chapter 10 Practice Paper: Data Analysis — Averages — question paper (print)

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QQ/S2MATH/CH10

Secondary 2 · Lower Secondary Mathematics (G2 / G3)

Chapter 10 Practice Paper

Data Analysis — Averages

Duration: 40 minutes

Total: 30 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Write your name, class and register number in the spaces at the top of this page.
Answer all questions.
Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
Section B: write your answers in the spaces provided.
Show all working. Marks may be awarded for correct working even if the final answer is wrong.
Give units with your answers where appropriate.
The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 10.

For Examiner’s Use
Section A	/ 10
Section B	/ 20
Total	/ 30

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

1
The mean of 2, 5, 8 and 9 is
1. A5
2. B6
3. C8
4. D24
( )
2
The median of 7, 3, 9, 1 and 5 is
1. A5
2. B3
3. C9
4. D7
( )
3
The mode of 4, 4, 6, 7, 9 and 4 is
1. A6
2. B5.7
3. C7
4. D4
( )
4
Eight values average 15. Adding them all gives
1. A1.9
2. B23
3. C120
4. D15
( )
5
The median of 10, 14, 16 and 20 is
1. A15
2. B13
3. C16
4. D14
( )
6
Which average uses every value in the data set in its calculation?
1. Athe mean
2. Bthe median
3. Cthe mode
4. Dthe range
( )
7
A stem of 3 holds leaves 5 and 8. Reading them off gives
1. A3, 5, 8
2. B358
3. C3.5 and 3.8
4. D35 and 38
( )
8
In a histogram, the class with the tallest bar is the
1. Amean class
2. Bmedian class
3. Cmodal class
4. Dsmallest class
( )
9
Every value in a data set is increased by 5. The mean
1. Aincreases by 5
2. Bstays the same
3. Cmultiplies by 5
4. Dhalves
( )
10
Two teams have the same mean score. Which extra fact shows one team is more consistent?
1. Aa higher mode
2. Ba smaller spread of scores
3. Ca bigger total
4. Dmore games played
( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show your working clearly. Give non-exact answers correct to 2 decimal places.

1
A data set reads 12, 9, 15, 9, 20, 9, 11.
1. (a)
  Name the value that occurs most often.
  mode =[1]
2. (b)
  Order the data and pick the middle value.
  [2]
3. (c)
  Work out the mean of the seven values (2 d.p.).
  [2]
2
Marcus’s mean score over 6 tests is 74.
1. (a)
  Find his total points for the 6 tests.
  total =[1]
2. (b)
  After a 7th test his mean rises to 75. Find his score on the 7th test.
  [2]
3. (c)
  His lowest of the original 6 tests was 66. After dropping it, calculate his average for the other five tests (2 d.p.).
  [2]
3
A stem-and-leaf diagram of 8 test results has: stem 0 with leaves 5, 8; stem 1 with leaves 2, 4, 4, 9; stem 2 with leaves 1, 6.
1. (a)
  List the 8 results.
  [1]
2. (b)
  Pin down the median of the eight results.
  [2]
3. (c)
  Calculate the mean of the eight results (1 d.p.).
  [2]
4
The travel times of 50 students are grouped in the table.
Travel times to school
Time t (minutes) 0 ≤ t < 10 10 ≤ t < 20 20 ≤ t < 30 30 ≤ t < 40
Students 6 14 18 12
1. (a)
  Which class interval holds the most students?
  modal class =[1]
2. (b)
  How many students take at least 20 minutes?
  students =[1]
3. (c)
  Use midpoints of the classes to work out an estimated mean journey time.
  [3]

Time t (minutes)	0 ≤ t < 10	10 ≤ t < 20	20 ≤ t < 30	30 ≤ t < 40
Students	6	14	18	12

— End of paper —