The table below gives the frequency distribution of the marks obtained by some students in...
MATHEMATICS
WAEC 1994
The table below gives the frequency distribution of the marks obtained by some students in a scholarship examination.
| Scores (x) | 15 | 25 | 35 | 45 | 55 | 65 | 75 |
| Freq (f) | 1 | 4 | 12 | 24 | 18 | 8 | 3 |
(a) Calculate, correct to 3 significant figures, the mean mark.
(b) Find the : (i) mode ; (ii) range of the distribution.
Explanation
| x | f | fx |
| 15 | 1 | 15 |
| 25 | 4 | 100 |
| 35 | 12 | 420 |
| 45 | 24 | 1080 |
| 55 | 18 | 990 |
| 65 | 8 | 520 |
| 75 | 3 | 225 |
| 70 | 3350 |
\(Mean = \frac{\sum fx}{\sum f} = \frac{3350}{70} = 47.8571\)
\(\approxeq 47.9\) (to 3 sig. figs)
(b)(i) Mode = 45 (score with the highest frequency)
(ii) Range = Highest mark - Lowest mark
= 75 - 15 = 60.
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