WAEC Mathematics Past Questions & Answers - Page 106

527.

The bar chart shows the frequency distribution of marks scored by students in a class test. What is the median of the distribution?

A.

2

B.

4

C.

6

D.

8

Correct answer is A

median = (\(\frac{N + 1}{2}\))th = (\(\frac{25 + 1}{2}\))th

= \(\frac{26th}{2}\)

= 13th

the 13th is 2

528.

The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution.

A.

6.0

B.

3.0

C.

2.4

D.

1.8

Correct answer is C

\(\begin{array}{c|c} x & f & fx\\ \hline 1 & 6 & 6 \\
2 & 8 & 16\\ 3 & 8 & 18\\ 4 & 5 & 20\end{array}\)

mean x = \(\frac{\sum fx}{\sum f}\)

= \(\frac{60}{25}\)

x = 2.4

530.

The position of three ships P,Q and R at sea are illustrated in the diagram. The arrows indicated the North direction. The bearing of Q from P is 050o and < PQR = 72o. Calculate the bearing of R and Q

A.

155o

B.

80o

C.

158o

D.

91o

Correct answer is C

< NPQ = < PQB = 50o(alt. < s)

< PQB = 50o

< PQR = < PQR < PQB + < QBR = 72o

< QBR = < PQR - < PQB = 72o - 50o

= 22o

< NQR = 180 - < QBR = 180o - 22 = 158o, the bearing of R from Q = 158o