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WAEC Mathematics Past Questions & Answers - Page 225

1,121.

Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2

A.

1.5

B.

1.7

C.

1.8

D.

1.9

View answer & explanation

Correct answer is C

x	2	3	6	2	5	0	4	2	24
x - $\bar{x}$	-1	0	3	-1	2	-3	1	-1
$(x - \bar{x})^2$	1	0	9	1	4	9	1	1	26

Mean = $\frac{24}{8} = 3$

Standard deviation = $\sqrt{\frac{26}{8}}$

= $\sqrt{3.25}$

= 1.802 $\approeq$ 1.8

1,122.

The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students took the test?

A.

38

B.

32

C.

15

D.

11

View answer & explanation

Correct answer is D

2 + 3 + 4 + 5 + 6 + 3 +3 + 0 + 2 + 2 + 2 = 32

1,123.

The bar chart shows the distribution of marks scored by a group of students in a test. Use the chart to answer the question below
How many students scored 4 marks and above?

A.

15

B.

11

C.

10

D.

17

View answer & explanation

Correct answer is D

Students that scored 4 and above = 5 + 3 + 3 + 0 + 2 + 2 + 2

= 17

1,124.

In the diagram, AB is a vertical pole and BC is horizontal. If |AC| = 10m and |BC| = 5m, calculate the angle of depression of C from A

A.

63^o

B.

60^o

C.

45^o

D.

27^o

View answer & explanation

Correct answer is B

In triangle ABC, $\frac{BC}{AC} = \cos \theta$

$\implies \cos \theta = \frac{5}{10} = 0.5$

$\theta = \cos^{-1} (0.5) = 60°$

1,125.

Which of the following bearings is equivalent to S50°W?

A.

040^o

B.

130^o

C.

220^o

D.

230^o

View answer & explanation

Correct answer is D

p>S50°W = 180° + 50°

= 230°

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