3. The following data were obtained for the number of minutes spent listening to recorded music for a sample of 30 individuals on one particular day 88.3 0 85.4 29.1 67.9 145.6 4.6 34.9 45 98.9 7.6 65.1 4.4 52.9 4.3 99.2 0 17.5 0 94.2 70.4 7 9.2 0 53.3 64.5 56.6 28.8 81.7 63.6 Table 2: Music (a) Compute the mean. Solution: 46 Minutes (b) Compute the median. Solution: 48,95 Minutes (c) Compute the first and third quartiles. Solution: 7 and 70,4 respectively (d) Compute and interpret the 40%-quantile. (e) Is the (arithmetic) mean a good measure of central tendency? (f) Is the data skewed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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3. The following data were obtained for the number of minutes spent listening to recorded music
for a sample of 30 individuals on one particular day
88.3 0 85.4 29.1
67.9 145.6 4.6 34.9
45 98.9 7.6 65.1
4.4 52.9 4.3 99.2 0
17.5 0 94.2 70.4 7
9.2 0 53.3 64.5 56.6
28.8
81.7
63.6
Table 2: Music
(a) Compute the mean.
Solution: 46 Minutes
(b) Compute the median.
Solution: 48,95 Minutes
(c) Compute the first and third quartiles.
Solution: 7 and 70,4 respectively
Transcribed Image Text:3. The following data were obtained for the number of minutes spent listening to recorded music for a sample of 30 individuals on one particular day 88.3 0 85.4 29.1 67.9 145.6 4.6 34.9 45 98.9 7.6 65.1 4.4 52.9 4.3 99.2 0 17.5 0 94.2 70.4 7 9.2 0 53.3 64.5 56.6 28.8 81.7 63.6 Table 2: Music (a) Compute the mean. Solution: 46 Minutes (b) Compute the median. Solution: 48,95 Minutes (c) Compute the first and third quartiles. Solution: 7 and 70,4 respectively
(d) Compute and interpret the 40%-quantile.
(e) Is the (arithmetic) mean a good measure of central tendency?
(f) Is the data skewed?
Transcribed Image Text:(d) Compute and interpret the 40%-quantile. (e) Is the (arithmetic) mean a good measure of central tendency? (f) Is the data skewed?
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