Question

if quartile deviation of given set of data of 20 observations is 12,then value of standard deviation is

Answer 1

Hey Dear,

◆ Answer -

σ = 18

◆ Explanation -

In normal distribution, quartile deviation is related to standard deviation as

Q.D. = (2/3) σ

σ = 3/2 × Q.D.

σ = 3/2 × 12

σ = 18

Therefore, standard deviation for given set of observations is 18.

# Important Concepts -

• Standard deviation is the measure to quantify amount of variation in data values from central tendency.
• Quartile deviation is the measure of spread of observations from central tendency.

Hope this helps you..