Question

1. Find the median of the data 14, 36, 25, 28, 35, 32,56,42,50.​

Answer 1

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• Data:- 14, 36, 25, 28, 35, 32, 56, 42, 50.

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• Median of the given data

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• Given data:- 14, 36, 25, 28, 35, 32, 56, 42, 50.

Arranging the given data in ascending order,

• 14 < 25 < 28 < 32 < 35 < 36 < 42 < 50 < 56

Now,

• N = Number of observations = 9

We know that,

$\boxed{\pink{\sf Median \: = \: \dfrac{N \: + \: 1}{2}}}$

Substituting the values,

• $\sf Median \: = \: \dfrac{9 \: + \: 1}{2}$

• $\sf Median \: = \: \dfrac{10}{2}$

• $\sf Median \: = \: \dfrac{\cancel{10}}{\cancel{2}}$

• $\sf Median \: = \: 5th \: observation$

• 5th observation in the given data = 35

Therefore,

• $\underline{\boxed{\therefore{\purple{\tt{Median \: of \: the \: given \: data \: = \: 35}}}}}$

Answer 2

Answer:

35

Step-by-step explanation:

14,25, 28, 32, 35, 36, 42, 50, 56

Nth term here is an odd number

Median =n+1/2

9+1/2

10/2

5

35