Question:Following is the information of annual salary of 50 people in
thousands of $ with a...
Question
Following is the information of annual salary of 50 people in
thousands of $ with a...
Following is the information of annual salary of 50 people in
thousands of $ with a mean salary of $148.4 ( thousands of $'s).
Find the standard deviation of the grouped data.
Mean
Salary ( \large \overrightarrow{x} ) = 148.4
\small
M \overrightarrow{x} \small M-\overrightarrow{x} \small
\left(M-\overrightarrow{x}\right)^2 \small f \small
\left(M-\overrightarrow{x}\right)^2.f
125
148.4 2
135
148.4 5
145
148.4 25
155
148.4 10
165
148.4 8
∑ f =
50 \large \Sigma\small \left(M-\overrightarrow{x}\right)^2.f
=
Standard Deviation = \small
\sqrt{\frac{\Sigma\left(M-\overrightarrow{x}\right)^2.f}{n-1}} = (
up to 2 decimal places)