Question

Here is a data set (n=90n=90) that has been sorted.

57.8	57.8	60.8	61.4	61.8	63.2	63.3	63.5	63.5
64.2	64.8	64.8	64.9	65.1	65.3	66.5	66.5	66.7
67	68.5	68.7	68.8	69.3	69.4	70.2	70.3	70.6
71.1	71.1	71.3	71.3	71.9	72	72.6	72.7	73.1
73.1	73.2	73.5	73.5	73.9	73.9	73.9	74	74.1
74.9	75	75.7	75.7	75.7	76.5	76.5	76.7	76.9
77.1	77.1	77.3	77.6	77.9	78.4	78.5	78.6	78.6
78.6	78.7	79	79	79.1	79.2	79.2	79.2	79.3
79.4	80.3	80.6	80.7	80.7	81.1	81.1	81.2	81.2
81.6	82.5	84	84.5	85.2	87	88.7	90.8	95.4

Find the value for the 30-Percentile:
P₃₀ =

Find the percentile for the data value 71.3:
Percentile =

Answer 1

Q find 30th percentile here find i inder for 30th percentile is i= p XN xgo - 127 here i=27 were an integer so percentile would be found by taking average of data vakes at position i and it in sunted dater. i position value means at 27 position value is toob it position value mean, at 28 position value is 91.1 average of both is 70.6+7lol 70.85 3oth perecentile is 70.85 1P30 - 70.85

find the percentile for data value 71.3 No. of values in data set Thago no. of values less than 71.3 L = 29 ho of some values 71.3 s = 2 - Percentile rank = 100 X L + (0.5xs) = 1000 x 29+ (0.5x2 90 = 33.33 33 3 33 percentile data value is 71.3 so Answer: percentile percentile = 33