The 11 members of the swim team completed the following numbers of laps at today's practice. 29, 78, 78, 79, 81, 83, 86, 87, 90, 91, 157 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 2₁ and 23 for the data set. 9₁ = 0 03= (b) Find the interquartile range (IQR) of the data set. IQR = [ Lower boundary: Upper boundary: X (c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note that 1.5-IQR means 1.5 times the IQR.) X Outliers: X (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". ..... X None
The 11 members of the swim team completed the following numbers of laps at today's practice. 29, 78, 78, 79, 81, 83, 86, 87, 90, 91, 157 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 2₁ and 23 for the data set. 9₁ = 0 03= (b) Find the interquartile range (IQR) of the data set. IQR = [ Lower boundary: Upper boundary: X (c) Calculate a lower boundary using Q₁-1.5-IQR. Calculate an upper boundary using Q3 +1.5-IQR. (Note that 1.5-IQR means 1.5 times the IQR.) X Outliers: X (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". ..... X None
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![The 11 members of the swim team completed the following numbers of laps at today's practice:
29, 78, 78, 79, 81, 83, 86, 87, 90, 91, 157
Complete the parts below to identify any outliers.
(a) Let \( Q_1 \) be the lower quartile and \( Q_3 \) be the upper quartile of the data set. Find \( Q_1 \) and \( Q_3 \) for the data set.
\[ Q_1 = \_\_\_ \]
\[ Q_3 = \_\_\_ \]
(b) Find the interquartile range (IQR) of the data set.
\[ \text{IQR} = \_\_\_ \]
(c) Calculate a lower boundary using \( Q_1 - 1.5 \times \text{IQR} \). Calculate an upper boundary using \( Q_3 + 1.5 \times \text{IQR} \). (Note that \( 1.5 \times \text{IQR} \) means 1.5 times the IQR.)
\[ \text{Lower boundary:} \]
\[ \text{Upper boundary:} \]
(d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None".
Outliers: \_\_\_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ee5d418-4908-4b12-8875-38434e326383%2Fd40b1a2a-ca9a-4a4d-82b4-b2fa1293a94d%2Fzcq1vxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The 11 members of the swim team completed the following numbers of laps at today's practice:
29, 78, 78, 79, 81, 83, 86, 87, 90, 91, 157
Complete the parts below to identify any outliers.
(a) Let \( Q_1 \) be the lower quartile and \( Q_3 \) be the upper quartile of the data set. Find \( Q_1 \) and \( Q_3 \) for the data set.
\[ Q_1 = \_\_\_ \]
\[ Q_3 = \_\_\_ \]
(b) Find the interquartile range (IQR) of the data set.
\[ \text{IQR} = \_\_\_ \]
(c) Calculate a lower boundary using \( Q_1 - 1.5 \times \text{IQR} \). Calculate an upper boundary using \( Q_3 + 1.5 \times \text{IQR} \). (Note that \( 1.5 \times \text{IQR} \) means 1.5 times the IQR.)
\[ \text{Lower boundary:} \]
\[ \text{Upper boundary:} \]
(d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None".
Outliers: \_\_\_
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