During a medical checkup, height of 35 students of a class were recorded as follows : Height (in cm) | 90-100 |…

CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 5 Marks · March 2025 · Standard

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595 Marks · March 2025 · Standard
During a medical checkup, height of 35 students of a class were recorded as follows :
Height (in cm) | 90-100 | 100-110 | 110-120 | 120-130 | 130-140 | 140-150
Number of Students | 3 | 2 | 4 | 5 | 14 | 7
Find the difference between the mean height and median height.
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Correct table
Mean $= 115 + \frac{46}{35} \times 10 = \frac{897}{7}$ or 128.14 approx.
$\therefore$ Mean height is $\frac{897}{7}$ cm or 128.14 cm approx.
Median Class is 130 - 140
Median $= 130 + \frac{\frac{35}{2} - 14}{14} \times 10 = 132.5$
$\therefore$ Median height is 132.5 cm
Difference of mean height and median height $= 132.5 - 128.14 = 4.36$ cm
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