Q. 7 - Elementary Statistics

Question

Complete the statement: Almost all the observations in any data set lie within _______standard deviations to either side of the mean.

Step-by-Step Solution

Answer

Almost all the observations in any data set lie within three standard deviations to either side of the mean. 

Step 1: Given Information

We have to find out that the in how many standard deviation observation of data set lie either side of the mean

Step 2: Explanation

According to three standard deviation rule which states that the three standard deviations give the whole knowledge of data set $1st$ standard deviation contains around $68\%, 2nd$ standard deviation contains $95\%$ and $3rd$ standard deviation contains $98\%$ of the data that is why almost all the observations in any data set lie within three standard deviations to either side of the mean. 

Hence, the answer is three.