3. From the following data: 9.69 13.16 17.09 18.12 23.70 24.07 24.29 26.43 30.75 31.54 35.07 36.99 40.32 42.51 45.64 48.22 49.98 50.06 55.02 57.00 58.41 61.31 64.25 65.24 66.14 67.68 81.40 90.80 92.17 92.42 100.82 101.94 103.61 106.28 106.80 108.69 114.61 120.86 124.54 143.27 143.75 149.64 167.79 182.50 192.55 193.53 271.57 292.61 312.45 352.09 371.47 444.68 460.86 563.92 690.11 826.54 1529.35 a. Calculate all three quartiles (Q₁, median Q2, and Q3 ). b. Find fo (IQR). c. Construct a boxplot based on the five number summary. d. Find all extreme and mild outliers if any. (4 marks)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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3. From the following data:
9.69 13.16 17.09 18.12 23.70 24.07 24.29 26.43 30.75 31.54
35.07 36.99 40.32 42.51 45.64 48.22 49.98 50.06 55.02 57.00
58.41 61.31 64.25 65.24 66.14 67.68 81.40 90.80 92.17 92.42
100.82 101.94 103.61 106.28 106.80 108.69 114.61 120.86 124.54 143.27
143.75 149.64 167.79 182.50 192.55 193.53 271.57 292.61 312.45 352.09
371.47 444.68 460.86 563.92 690.11 826.54 1529.35
a.
Calculate all three quartiles (Q₁, median Q2, and Q3 ).
b. Find fo (IQR).
c. Construct a boxplot based on the five number summary.
d. Find all extreme and mild outliers if any.
(4 marks)
Transcribed Image Text:3. From the following data: 9.69 13.16 17.09 18.12 23.70 24.07 24.29 26.43 30.75 31.54 35.07 36.99 40.32 42.51 45.64 48.22 49.98 50.06 55.02 57.00 58.41 61.31 64.25 65.24 66.14 67.68 81.40 90.80 92.17 92.42 100.82 101.94 103.61 106.28 106.80 108.69 114.61 120.86 124.54 143.27 143.75 149.64 167.79 182.50 192.55 193.53 271.57 292.61 312.45 352.09 371.47 444.68 460.86 563.92 690.11 826.54 1529.35 a. Calculate all three quartiles (Q₁, median Q2, and Q3 ). b. Find fo (IQR). c. Construct a boxplot based on the five number summary. d. Find all extreme and mild outliers if any. (4 marks)
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