Mathematics
Find the mode of following data, using a histogram :
| Class | Frequency |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 12 |
| 20 - 30 | 20 |
| 30 - 40 | 9 |
| 40 - 50 | 4 |
Answer
Steps :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and D of adjacent rectangles.
Through point K (the point of intersection of diagonals AC and BD), draw KL perpendicular to the horizontal axis.
The value of point L on the horizontal axis represents the value of mode.
∴ Mode = 24.
Hence, mode = 24.
Related Questions
From the following cumulative frequency table draw ogive and then use it to find :
(i) Median
(ii) Lower quartile
(iii) Upper quartile
Marks (less than) Cumulative frequency 10 5 20 24 30 37 40 40 50 42 60 48 70 70 80 77 90 79 100 80 In a school, 100 pupils have heights as tabulated below :
Height (in cm) No. of pupils 121 - 130 12 131 - 140 16 141 - 150 30 151 - 160 20 161 - 170 14 171 - 180 8 Find the median height by drawing an ogive.
The following table shows the expenditure of 60 boys on books. Find the mode of their expenditure.
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15, 17, 16, 7, 10, 12, 14, 16, 19, 12 and 16.
(i) What are his modal marks ?
(ii) What are his median marks ?
(iii) What are his total marks ?
(iv) What are his mean marks ?