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1989 WAEC Mathematics Theory The table shows the weights, to the nearest kilogram, of twelve students in a Further...

Mathematics
WAEC 1989

The table shows the weights, to the nearest kilogram, of twelve students in a Further Mathematics class

Weight in kg 55 57 59 61 63
No of students 2 1 2 4 3

(a) Draw a bar chart to illustrate the above information;

(b) What is (i) the mode; (ii) the median of the distribution?

(c) Calculate the mean weight correct to the nearest kilogram.

 

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Explanation

(a) 

(b)(i) The mode is 61kg.

(ii) From the total number of students = 12, then the median is the average of the 6th and 7th weight.

From the table, the median = 61kg.

(c) Mean weight = \(\frac{\sum fx}{\sum f} = \frac{55 \times 2 + 57 \times 1 + 59 \times 2 + 61 \times 4 + 63 \times 3}{12}\)

= \(\frac{110 + 57 + 118 + 244 + 189}{12} = \frac{718}{12} = 59.833kg\)

\(\approxeq 60kg\)


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