Question

Find the mean and median of the data:
5, 4, 6, 4, 3, 7, 6​

Answer 1

$\huge{\orange{\underline{\underline{\sf{AnSweR:}}}}}$

Given,

Observations = 5,4,6,4,3,7,6

$\boxed{\sf{Arthmetic\;Mean = \frac{Sum\;of\; Observations}{No\;of\; Observations}}}$

➝ $\frac{(5+4+6+4+3+7+6)}{7}$

➝ $\frac{35}{7}$

→ $5$

☞ $\Large\fbox\red{Mean = 5}$

No of Observations = 7

'7' is a Odd Number

$\boxed{\sf{Median = \frac {n+1}{2}}}$

➝ $\frac {7+1}{2}$

➝ $\frac {8}{2}$

➝ $4$

Median = 4th Observation

☞ $\Large\fbox\green{Median = 4}$

_______________________

Extra Information ℹ️

Median For Even Number of Observations is

$\frac {n}{2}$ th Observation & ${(\frac {n}{2}+1)}$ th Observation

Hope It Helps You ✌️