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Question

The table is a frequency table for number of days and temperature obtained in a month. Find the median day of temperature.
Number of days
$$3$$
$$4$$
$$5$$
$$6$$
$$7$$
Temperature
$$^{o}C$$
$$20$$
$$30$$
$$10$$
$$15$$
$$5$$


A
3
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B
4
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C
5
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D
6
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Solution

The correct option is C $$4$$
$$Number\,of\,days$$ $$Temperature$$
$$^oC$$ 
$$c.f$$ 
 $$3$$$$20$$ $$20$$ 
 $$4$$$$30$$ $$50$$ 
 $$5$$$$10$$ $$60$$ 
 $$6$$$$15$$ $$75$$ 
 $$7$$$$5$$ $$80$$ 
Here, $$N=80$$ then, $$\dfrac{N}{2}=\dfrac{80}{2}=40$$

We find that the cummulative frequency greater than $$\displaystyle\frac{N}{2}(40)$$ is $$50$$ and value of $$x$$ corresponding to $$50$$ is $$4$$. 
$$\therefore$$   Median day of temperature $$=4$$

Mathematics

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