QuestionFind the five-number summary for the data: 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56. Determine IQR, lower & upper outlier bounds, and any outliers.
Studdy Solution
STEP 1
Question: Arrange the given data set in ascending order.
A) 10, 13, 25, 36, 37, 39, 41, 43, 46, 52, 53, 54, 56, 57, 60, 77, 81
B) 81, 77, 60, 57, 56, 54, 53, 52, 46, 43, 41, 39, 37, 36, 25, 13, 10
C) 25, 53, 81, 60, 54, 46, 13, 52, 43, 39, 36, 10, 41, 37, 77, 57, 56
D) 56, 57, 77, 37, 41, 10, 36, 39, 43, 52, 13, 46, 54, 60, 81, 53, 25
Answer: A) 10, 13, 25, 36, 37, 39, 41, 43, 46, 52, 53, 54, 56, 57, 60, 77, 81
STEP 2
Question: What are the minimum and maximum values from the arranged data set?
A) Minimum = 10, Maximum = 81
B) Minimum = 13, Maximum = 77
C) Minimum = 25, Maximum = 60
D) Minimum = 36, Maximum = 57
Answer: A) Minimum = 10, Maximum = 81
STEP 3
Question: What is the median (Q2) of the arranged data set?
A) 46
B) 52
C) 54
D) 56
Answer: A) 46
STEP 4
Question: What are the values for the first quartile (Q1) and third quartile (Q3)?
A) Q1 = 36, Q3 = 56
B) Q1 = 37, Q3 = 57
C) Q1 = 25, Q3 = 54
D) Q1 = 43, Q3 = 60
Answer: A) Q1 = 36, Q3 = 56
STEP 5
Question: What are the values for the interquartile range (IQR), and the lower and upper bounds for outliers?
A) IQR = 20, Lower bound = 6, Upper bound = 86
B) IQR = 21, Lower bound = 5, Upper bound = 85
C) IQR = 22, Lower bound = 7, Upper bound = 87
D) IQR = 23, Lower bound = 8, Upper bound = 88
Answer: A) IQR = 20, Lower bound = 6, Upper bound = 86
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