Solution Found!
Section I: Multiple Choice Choose the best answer for Questions AP1.1 to AP1.14. Here
Chapter 4, Problem AP1.8(choose chapter or problem)
Section I: Multiple Choice Choose the best answer for Questions AP1.1 to AP1.14.
Here are the IQ scores of 10 randomly chosen fifth-grade students:
145 139 126 122 125 130 96 110 118 118
Which of the following statements about this data set is not true?
(a) The student with an IQ of 96 is considered an outlier by the \(1.5 \times IQR\) rule.
(b) The five-number summary of the 10 IQ scores is 96, 118, 123.5, 130, 145.
(c) If the value 96 were removed from the data set, the mean of the remaining 9 IQ scores would be greater than the mean of all 10 IQ scores.
(d) If the value 96 were removed from the data set, the standard deviation of the remaining 9 IQ scores would be less than the standard deviation of all 10 IQ scores.
(e) If the value 96 were removed from the data set, the IQR of the remaining 9 IQ scores would be less than the IQR of all 10 IQ scores.
Questions & Answers
QUESTION:
Section I: Multiple Choice Choose the best answer for Questions AP1.1 to AP1.14.
Here are the IQ scores of 10 randomly chosen fifth-grade students:
145 139 126 122 125 130 96 110 118 118
Which of the following statements about this data set is not true?
(a) The student with an IQ of 96 is considered an outlier by the \(1.5 \times IQR\) rule.
(b) The five-number summary of the 10 IQ scores is 96, 118, 123.5, 130, 145.
(c) If the value 96 were removed from the data set, the mean of the remaining 9 IQ scores would be greater than the mean of all 10 IQ scores.
(d) If the value 96 were removed from the data set, the standard deviation of the remaining 9 IQ scores would be less than the standard deviation of all 10 IQ scores.
(e) If the value 96 were removed from the data set, the IQR of the remaining 9 IQ scores would be less than the IQR of all 10 IQ scores.
ANSWER:Step 1 of 6
Given IQ scores:
(a) Order the data values from smallest to largest: