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
B
4
C
5
D
6

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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