Question

26. Find the median of the following data. Class Intervals 0-10 10-20 20-30 30-40 40-50 50-60 Frequency 8 15 19 25 20 13
​

Answer 1

Answer:

Median (If even no. of observations)

\begin{gathered}\begin{gathered}\\ \tt{:}\dashrightarrow [\frac{(n+1)}{2}]^{th}\:term\end{gathered}\end{gathered}

:⇢[

2

(n+1)

]

th

term

N is the no. of observations.

Here number of observations or number of frequencies is 6.

\begin{gathered}\begin{gathered}\\ \sf\longmapsto [\frac{(6+1)}{2}]^{th}\:term\end{gathered}\end{gathered}

⟼[

2

(6+1)

]

th

term

\begin{gathered}\begin{gathered}\\ \sf\longmapsto 3+1^{th}\:term\end{gathered}\end{gathered}

⟼3+1

th

term

\large\color{gold}{ \tt{4^{th}\:term}}4

th

term

Hence, The median of the given observation is 25