2) Given the following measurements of a distance, [15, 15, 5] 15.152+0.005 m. 15.163+0.003 m. 15.179+0.007 m. 15.174+0.005 m, 15.151+0.004 m, a) Calculate the (simple) mean and its standard deviation, b) Calculate the weighted mean using weights inversely proportional to the variances, c) Calculate the standard deviation of the weighted mean, on the results
2) Given the following measurements of a distance, [15, 15, 5] 15.152+0.005 m. 15.163+0.003 m. 15.179+0.007 m. 15.174+0.005 m, 15.151+0.004 m, a) Calculate the (simple) mean and its standard deviation, b) Calculate the weighted mean using weights inversely proportional to the variances, c) Calculate the standard deviation of the weighted mean, on the results
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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![2) Given the following measurements of a distance,
[15, 15, 5]
15.152+0.005 m.
15.163+0.003 m.
15.179+0.007 m.
15.174+0.005 m,
15.151+0.004 m,
a) Calculate the (simple) mean and its standard deviation,
b) Calculate the weighted mean using weights inversely proportional to the variances,
c) Calculate the standard deviation of the weighted mean,
d) Comment on the results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a3cca49-809b-45ca-85d5-f0035b452d9e%2Fd60b0a30-4303-4eed-9ad2-adb9b13db4f4%2Fyn2rgn_processed.png&w=3840&q=75)
Transcribed Image Text:2) Given the following measurements of a distance,
[15, 15, 5]
15.152+0.005 m.
15.163+0.003 m.
15.179+0.007 m.
15.174+0.005 m,
15.151+0.004 m,
a) Calculate the (simple) mean and its standard deviation,
b) Calculate the weighted mean using weights inversely proportional to the variances,
c) Calculate the standard deviation of the weighted mean,
d) Comment on the results.
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