You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 13.4 14.1 15.0 15.4 15.4 18.0 18.3 18.7 19.1 20.3 20.7 22.2 23.4 23.9 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Here are your summary Statistics: Mean St. Dev. 18.6 4.79 15.4 15.5 16.3 16.6 16.7 34.4 Min Q1 13.4 15.4 Med Q3 Max 17.35 20.4 34.4

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 18HP
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You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of
corn. You gather the following data:
Mass(g) of ears of corn
13.4 14.1 15.0
15.4 15.4
18.0 18.3 18.7 19.1 20.3
15.4 15.5 16.3 16.6 16.7
20.7 22.2 23.4 23.9 34.4
Some of the masses in the sample seem much larger than the rest. You decide to make several calculations
describing the "spread" of the data set. You hope to use them to help in the search for outliers.
Here are your summary Statistics:
Mean St. Dev.
Max
Min Q1 Med Q૩
13.4 15.4 17.35 20.4 34.4
18.6
4.79
Find the following: ROUND ALL ANSWERS TO THE TENTHS PLACE (1 DECIMAL)
1. Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs.
a. IQR =
b. Lower Fence
=
c. Upper Fence =
d. Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no")
1. Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs.
a. Lower Fence =
b. Upper Fence =
c. Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")
Transcribed Image Text:You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 13.4 14.1 15.0 15.4 15.4 18.0 18.3 18.7 19.1 20.3 15.4 15.5 16.3 16.6 16.7 20.7 22.2 23.4 23.9 34.4 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Here are your summary Statistics: Mean St. Dev. Max Min Q1 Med Q૩ 13.4 15.4 17.35 20.4 34.4 18.6 4.79 Find the following: ROUND ALL ANSWERS TO THE TENTHS PLACE (1 DECIMAL) 1. Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. a. IQR = b. Lower Fence = c. Upper Fence = d. Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no") 1. Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. a. Lower Fence = b. Upper Fence = c. Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")
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