Question

Find the 25th, 50th, and 75th percentile from the following list of 32 data

1	3	7	9	12
13	16	19	23	29
31	39	43	44	45
48	50	59	61	65
66	67	68	73	74
81	83	89	92	93
97	100

Answer 1

number of data points (N) = 32

we know that,

25 th percentile is known as	first quartile
50 th percentile is known as	median
75 the percentile is known as	third quartile

a).25 th percentile be:-

= the first quartile

[from the given arranged data set, 8 th obs = 19 , 9th obs = 23]

50 th percentile be:-

[ n=32 , is even number]

[ from the given arranged data set,16 th obs = 48 , 17 th obs = 50]

75 th percentile be:-

[from the given arranged data set, 24 th obs = 73, 25th obs = 74]

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