1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Find the median of the following data: Valuable 0−10 10−20 20−30 30−40 40−50 50−60 60−70 Frequency 7 12 18 25 16 14 8

Open in App
Solution

## Variable Frequency (f) Cumulative Frequency (c.f.) 0 − 10 10 − 20 20 − 30 7 12 18 7 19 37 (c.f.) 30 − 40 25 (f) 62 40 − 50 50 − 60 60 − 70 16 14 8 78 92 100 N=100 Median class is given by the size of ${\left(\frac{N}{2}\right)}^{th}$ item, i.e.${\left(\frac{100}{2}\right)}^{\mathrm{th}}$ item, which is 50th item. This corresponds to the class interval of (30 − 40), so this is the median class. $\mathrm{Median}={l}_{1}+\frac{\frac{N}{2}-c.f.}{f}×i\phantom{\rule{0ex}{0ex}}\mathrm{so},\mathrm{Median}=30+\frac{\frac{100}{2}-c.f.}{f}×i\phantom{\rule{0ex}{0ex}}\mathrm{or},\mathrm{Median}=30+\frac{50-37}{25}×10\phantom{\rule{0ex}{0ex}}\mathrm{or},\mathrm{Median}=30+5.2=35.2\phantom{\rule{0ex}{0ex}}\mathrm{Thus},\mathrm{median}=35.2$

Suggest Corrections
10
Join BYJU'S Learning Program
Related Videos
Measure of Dispersion
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program