11 members of the swim team completed the 78, 80, 81, 81, 83, 84, 86, 87, 89, 90, 91 mplete the parts below to identify any outliers. (a) Let Q₁ be the lower quartile and Q3 be the upper quartile of the data set. Find Q₁ and 23 F llowin 2₁= 93= (b) Find the interquartile range (IQR) of the data set. X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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The 11 members of the swim team completed the following numbers of laps at today's practice.
78, 80, 81, 81, 83, 84, 86, 87, 89, 90, 91
Complete the parts below to identify any outliers.
?
(a) Let Q₁ be the lower quartile and Q3 be the upper quartile of the data set. Find Q₁ and 23 for the data set
2₁ = 1
0
23
9₁ =
(b) Find the interquartile range (IQR) of the data set.
D
0
M
IQR = 0
Lower boundary:
Upper boundary:
Explanation
(c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using 23 +1.5-IQR. (Note
1.5-IQR means 1.5 times the IQR.)
Outliers:
X
Check
X
(d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Ide
the outliers of the data set. If there is more than one outlier, separate them with commas. If there are n
outliers, click "None".
1,0,...
3
X
5
None
Ś
Aa
S
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibil
Transcribed Image Text:The 11 members of the swim team completed the following numbers of laps at today's practice. 78, 80, 81, 81, 83, 84, 86, 87, 89, 90, 91 Complete the parts below to identify any outliers. ? (a) Let Q₁ be the lower quartile and Q3 be the upper quartile of the data set. Find Q₁ and 23 for the data set 2₁ = 1 0 23 9₁ = (b) Find the interquartile range (IQR) of the data set. D 0 M IQR = 0 Lower boundary: Upper boundary: Explanation (c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using 23 +1.5-IQR. (Note 1.5-IQR means 1.5 times the IQR.) Outliers: X Check X (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Ide the outliers of the data set. If there is more than one outlier, separate them with commas. If there are n outliers, click "None". 1,0,... 3 X 5 None Ś Aa S Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibil
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