The table shows the distribution of marks obtained by some candidates in a test. Marks...
FURTHER MATHEMATICSWAEC 2008
The table shows the distribution of marks obtained by some candidates in a test.
| Marks | 10-14 | 15-24 | 25-29 | 30-39 | 40-44 | 45-49 |
| No of candidates | 14 | 30 | 22 | 18 | 12 | 4 |
Draw a histogram for the distribution.
Explanation
| Marks | Freq | Class boundary | Class width | Height |
| 10 - 14 | 14 | 9.5 - 14.5 | 5 | 2.8 |
| 15 - 24 | 30 | 14.5 - 24.5 | 10 | 3 |
| 25 - 29 | 22 | 24.5 - 29.5 | 5 | 4.4 |
| 30 - 39 | 18 | 29.5 - 39.5 | 10 | 1.8 |
| 40 - 44 | 12 | 39.5 - 44.5 | 5 | 2.4 |
| 45 - 49 | 4 | 44.5 - 49.5 | 5 | 0.8 |
Since the class intervals are not equal, we draw the histogram in a way that the area of the bars, rather than the height must be proportional to the frequency. On the vertical scale, we plot frequency density instead of frequency where frequency density = frequency/ class width.
.jpg)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly.
Your email address will not be published. Required fields are marked *