15. (Percentile, median) The pth percentile of a sample is a number Q, such that at least p% of the sample values are smaller than or equal to Q, and also at least (100 – p)% of those values are larger than or equal to Q„. If there is more than one such number (in which case there will be an interval of them), the pth percentile is defined as the average of the numbers (midpoint of that interval). In particular, Q5o is called the middle quartile or median and is denoted by r. Find for the sample in Table 24.2 (Sec. 24.3). -
15. (Percentile, median) The pth percentile of a sample is a number Q, such that at least p% of the sample values are smaller than or equal to Q, and also at least (100 – p)% of those values are larger than or equal to Q„. If there is more than one such number (in which case there will be an interval of them), the pth percentile is defined as the average of the numbers (midpoint of that interval). In particular, Q5o is called the middle quartile or median and is denoted by r. Find for the sample in Table 24.2 (Sec. 24.3). -
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Transcribed Image Text:15. (Percentile, median) The pth percentile of a sample is a number Q, such that at
least p% of the sample values are smaller than or equal to Q, and also at least
(100 – p)% of those values are larger than or equal to Q. If there is more than
one such number (in which case there will be an interval of them), the pth
percentile is defined as the average of the numbers (midpoint of that interval).
In particular, Q50 is called the middle quartile or median and is denoted by r.
Find for the sample in Table 24.2 (Sec. 24.3).
Transcribed Image Text:Table 24.2
Cumulative
Absolute
Cumulative
Relative
Tensile
Absolute
Relative
Strength
Frequency
Frequency
Frequency
Fx)
Frequency
[Ib/in. 2)
300
2
0.02
2
0.02
310
0.00
0.02
320
4
0.04
6.
0.06
330
6.
0.06
12
0.12
340
11
0.11
23
0.23
350
14
0.14
37
0.37
360
16
0.16
53
0.53
370
15
0.15
68
0.68
380
8
0.08
76
0.76
390
10
0.10
86
0.86
400
8.
0.08
94
0.94
410
2
0.02
96
0.96
420
0.03
99
0.99
430
0.00
99
0.99
440
1
0.01
100
1.00
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