Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

TopicSkillDifficulty

12 questions

SA-9709-P5-DR-0013 marksL1 FoundationCalculatorMean and SD

For

10

values,

\Sigma x=120

and

\Sigma x^2=1650

. Find the mean and the standard deviation, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0142 marksL1 FoundationCalculatorMean and SD

The five values

4,\ 7,\ x,\ 10,\ 12

have mean

8

. Find

x

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0013 marksL1 FoundationCalculatorMean and SD

Find the mean and standard deviation of

2,\ 4,\ 4,\ 5,\ 7,\ 8

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0023 marksL1 FoundationCalculatorMean and SD

For

8

values,

\Sigma x=96

and

\Sigma x^2=1240

. Find the mean and the standard deviation, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0041 markL1 FoundationCalculatorMean and SD

Which average is most affected by one extreme value?

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-G013 marksL1 FoundationCalculatorMean and SD

Find the mean and standard deviation of

3,\ 5,\ 7,\ 8,\ 12

. Give the standard deviation correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0034 marksL2 StandardCalculatorGrouped data

The times,

t

minutes, of

30

journeys are:

0\le t<10

5

;

10\le t<20

12

;

20\le t<30

8

;

30\le t<50

5

. Estimate the mean and standard deviation, correct to 3 significant figures.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0092 marksL2 StandardCalculatorMean and SD

A group of

20

has mean

15

and a group of

30

has mean

18

. Find the mean of all

50

values combined.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0035 marksL2 StandardCalculatorGrouped data

The masses,

m

kg, of

20

parcels:

0\le m<10

4

;

10\le m<20

10

;

20\le m<40

6

. Estimate the mean and the standard deviation (3 s.f.).

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0052 marksL2 StandardCalculatorMean and SD

Five values have mean

6

and standard deviation

2

. Find

\Sigma x^2

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0064 marksL2 StandardCalculatorGrouped data

The number of goals,

x

, scored in

20

matches:

x=0

3

;

1

7

;

2

6

;

3

3

;

4

1

. Find the mean and standard deviation (3 s.f.).

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR3-0074 marksL3 ExamCalculatorMean and SD

The four values

3,\ 5,\ 7,\ x

have mean

6

. Find

x

, and then the standard deviation of the four values (3 s.f.).

Salam Academy Original Practice · Proposed mark scheme