Data 22.3, 20.9, 20, 20, 20, 19.6, 19.6, 19.3, 18.6, 17.9, 17.4, 17.3, 16.7, 16.
ID: 3259442 • Letter: D
Question
Data
22.3, 20.9, 20, 20, 20, 19.6, 19.6, 19.3, 18.6, 17.9, 17.4, 17.3, 16.7, 16.6, 16.5, 16.4
15.8, 15.3, 14.8, 13.8, 13.7, 13.7, 13.6, 13.6, 13.6, 13.2, 13.1, 13, 13, 12.8, 12.6
12.5, 12.1, 12, 11.9, 11.7, 11.5, 11.4, 11.2, 11.1, 10.9, 10.8, 10.5, 10.5, 10.4, 10.4
10.3, 10.3, 10.3, 10.1, 10, 10, 10, 9.9, 9.9, 9.9, 9.9, 9.8, 9.8, 9.7, 9.6, 9.6, 9.3, 9.3
9.3, 9.2, 9.2, 9.2, 9.2, 9.2, 8.9, 8.8, 8.8, 8.5, 8.5, 8.4, 8.4, 8.3, 8.1, 8.1, 8.1, 8, 8, 8
7.9, 7.8, 7.8, 7.8, 7.7, 7.7, 7.6, 7.5, 7.5, 7.5, 7.4, 7.4, 7.4, 7.3, 7.3, 7.2, 7.2, 7.2, 7.1
7.1, 6.9, 6.9, 6.9, 6.9, 6.9, 6.8, 6.6, 6.5, 6.5, 6.5, 6.5, 6.4, 6.4, 6.4, 6.4, 6.4, 6.4, 6.4,
6.3, 6.3, 6.3, 6.2, 6.1, 6.1, 6.1, 6, 6, 6, 6, 5.9, 5.7, 5.7, 5.7, 5.6, 5.6, 5.5, 5.4, 5.4, 5.3
5.3, 5.2, 5.1, 5.1, 5.1, 5.1, 5.1, 4.8, 4.7, 4.7, 4.7, 4.4, 4.4, 4.4, 4.2, 4.1, 4.1, 4.1, 4.1, 4
4, 3.9, 3.9, 3.8, 3.7, 3.6, 3.6, 3.6, 3.4, 3.1, 3, 2.7, 2.6, 2.4, 2.3, 2.3, 2.3, 2.3, 2.3, 2.3, 2.3
2.2, 2.2, 2.2, 2.2, 2.2, 2.2, 2.2, 2, 0.8
Use the data values and organize them to compute the Mean, Median, Mode, Range, Variance, and Standard Deviation. Feel free to use EXCEL, your calculator or any other software. Round-off Rule: Carry one more decimal place than is present in the original set of data.
Mean =
Median = Mode = Range = Variance = Standard Deviation =
Find the following percentiles: P10, P35, P80 and explain the meaning of each percentile Round-off Rule: Carry one more decimal place than is present in the original set of data
P10 = P35 = P80 =
Explanation / Answer
on above data:
using excel average function mean=8.23
using median(array) ; median=7.4
using Range=max(array)-min(array)=22.3-0.8=21.5
Varaince=varp(array)=19.87
standard deviation =stdevp(array)=4.46
P10 =10 th percentile =percentile(array,0.1)=3.02 (represent that 10% of values are below 3.02)
P35=35th percentile ==percentile(array,0.35)=6.22 (represent that 35% of values are below 6.22)
P80=80th percentile ==percentile(array,0.8)=11.16 (represent that 80% of values are below 11.16)
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