Find the range and the quartile deviation for the following distribution.
Answers
Answer:
Quartile Deviation = 21.78 [Ans]
Step-by-step explanation:
Class Interval Frequency Cumulative Frequency
0 - 15 8 8
15 - 30 26 34
30 - 45 30 64
45 - 60 45 109
60 - 75 20 129
75 - 90 17 146
90 - 105 4 150
Position of Quartile 1 = 150/4 = 37.5th i.e. 30 - 45 range
Position of Quartile 3 = 150 * (3/4) = 112.5th i.e. 60 - 75 range
Q1 = 30 +
Q3 = 60 + = 83.0625
Quartile Deviation = (Q3 - Q1) / 2 = (83.0625 - 44.5)/2 = 21.78 [Ans]