Question

If the mean of a given dataset is

48 and the standard deviation is
6, where will a majority of the
data lie?

Answer 1

• Mean=48
• Standard deviation=6

Now range of majority:-

`\\ \sf\longmapsto 48-6\to 48+6`

`\\ \sf\longmapsto 42\to 54`

Answer 2

between 42 and 54 on the data set

Explanation:

standard deviation is the typical variance from the mean so just add and subtract 6 units each direction to get where most of the data is.