Question

Find the range and standard deviation of the set of data.
46​, 44​, 49​, 39​, 48​, 40​, 42

Answer 1

Answer:10,3.58

Explanation:

The range of a data set is the difference between the least number and highest number in the data set.

The least number in the data set is
`39`.

The highest number in the data set is
`49`.

So,range is
`49-39=10`

Standard deviation measures how spread out the values in a data set are around the mean.

Let
`m` be the mean of the set.

`m=(46+44+49+39+48+40+42)/(7)=(308)/(7)=44`

`variance=((46-44^(2))+(44-44^(2))+(49-44^(2))+(39-44^(2))+(48-44^(2))+(40-44^(2))+(40-44^(2))+(42-44^(2)))/(7) =(4+25+25+16+16+4)/(7)=12.85`

`standard deviation=√(variance)=√(12.85)=3.58`