Page 39 - Basic Statistics

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Problem 2.3:
A basketball player contributed points to his team's in 12 matches as

follows.

18, 3, 21, 15, 9, 34, 27, 10, 42, 6, 54, 62

Calculate:

a. Range

b. Interquartile range

c. Variance
d. Standard deviation

Worked solution:

a. Range: Rg = Xmax - Xmin = ……. – ……..

= ………

b. Interquartile range :

Q1 lies in ((n +1) / 4)th observation
with (n+1)/4 = ( …. +1)/ 4 = …………

so that Q1 = X… + …… ( X… - X…. )

Q1 = …… + …… ( …..-…….) = ………..

Q3 lies in (3(n+1)/4)th observation

with 3(n+1)/4 = 3 ( …… +1)/ 4 = ……….

So that Q3 = X…. + …… ( X… - X… )

Q3 = …… + ……. ( …….- ……..) = ……….

Interquartile range Q3 – Q1 = ……. – …… = ………

~~* CHAPTER 2 NUMERICAL MEASURES TO SUMMARIZE DATA *~~