The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is(a) 10(b) 20(c) 25(d) 8.3
Question
The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is(a) 10(b) 20(c) 25(d) 8.3
Solution
To find the quartile deviation, we need to calculate the difference between the upper quartile (Q3) and the lower quartile (Q1).
Given that the quartiles are 45, 52, and 65, we can determine that Q1 is 45 and Q3 is 65.
The quartile deviation is calculated as (Q3 - Q1) / 2.
Substituting the values, we get (65 - 45) / 2 = 20 / 2 = 10.
Therefore, the quartile deviation is 10.
Hence, the correct answer is (a) 10.
Similar Questions
If X and Y are related as 3X – 4Y = 20 and the quartile deviation of X is 12,then the quartile deviation of Y is :(a) 14(b) 15(c) 16(d) 9
The quartile deviation of a normal distribution with mean 10 and standarddeviation 4 is(a) 0.675.(b) 67.50.(c) 2.70(d) 3.20
f the quartile deviation of a normal curve is 4.05, then its mean deviation is(a) 5.26(b) 6.24(c) 4.24(d) 4.80
What is the value of the first quartile for observations 15, 18, 10, 20, 23, 28, 12, 16?(a) 17 (b) 16 (c) 12.75 (d) 12
Find the range and quartile deviation for the following distribution - Class interval : 5-10, 10-15,15-20, 20-25, 25-30, 30-35, 35-40. No of Frequency - 6, 8, 17, 21, 15, 11, 2
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.