Mathematics
The following table shows the expenditure of 60 boys on books. Find the mode of their expenditure.
Expenditure (₹) | No. of students |
---|---|
20 - 25 | 4 |
25 - 30 | 7 |
30 - 35 | 23 |
35 - 40 | 18 |
40 - 45 | 6 |
45 - 50 | 2 |
Measures of Central Tendency
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Answer
Steps :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines MJ and LO diagonally from the upper corners M and L of adjacent rectangles.
Through point Z (the point of intersection of diagonals MJ and LO), draw ZP perpendicular to the horizontal axis.
The value of point P on the horizontal axis represents the value of mode.
∴ Mode = 34.
![The following table shows the expenditure of 60 boys on books. Find the mode of their expenditure. Measures of Central Tendency, Concise Mathematics Solutions ICSE Class 10.](https://cdn1.knowledgeboat.com/img/cm10/q4-c24-ex-24-d-central-tendency-concise-maths-solutions-icse-class-10-1200x712.png)
Hence, mode = 34.
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