Consider the following grouped frequency distribution : Class 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 1 2 4 6 4 3 What is the median of the distribution?

Correct answer: C. 35 Class 0-10 10-20 20-30 30-40 40-50 50-60 fi 1 2 4 6 4 3 C.F. 1 3 7 13 17 20 aligned & (N)/(2)=(20)/(2)=10 & Median class =30-40 & Median =l+((N)/(2)-C)/(f) . & Me=30+(10-7)/(6) ×10 & =30+5=35 aligned

NDA 2022

Exam: NDA
Year: 2022
Subject: Mathematics
Chapter: Statistics

NDA 2022 · Mathematics · Statistics

Consider the following grouped frequency distribution : Class 0-10...

Consider the following grouped frequency distribution :

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	1	2	4	6	4	3

What is the median of the distribution?

Options

A $34$
B $34.5$
C $35$
D $35.5$

Correct answer

C. $35$

Step-by-step solution

Class	0-10	10-20	20-30	30-40	40-50	50-60
fi	1	2	4	6	4	3
C.F.	1	3	7	13	17	20

\begin{aligned}& \frac{N}{2}=\frac{20}{2}=10 \\ & \therefore \quad \text{ Median class }=30-40 \\ & \therefore \quad \text{ Median }=l+\frac{\frac{N}{2}-C}{f} \timesh . \\ & \mathrm{Me}=30+\frac{10-7}{6} \times10 \\ & =30+5=35\end{aligned}

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