The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 2.2 3.5 2.7E below. 1.8 0.5 4.0 2.2 1.3 3.9 Assume the population is normally distributed. 0.4 2.2 3.1 (a) Find the sample mean. x = 2.32 (Round to two decimal places as needed.) (b) Find the sample standard deviation s 1.29 (Round to two decimal places as needed.)
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 2.2 3.5 2.7E below. 1.8 0.5 4.0 2.2 1.3 3.9 Assume the population is normally distributed. 0.4 2.2 3.1 (a) Find the sample mean. x = 2.32 (Round to two decimal places as needed.) (b) Find the sample standard deviation s 1.29 (Round to two decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I'm having a hard time solving part (b) correctly. I'm using the formula
s = sqrt [ Σ ( xi – x_bar )2 / ( n – 1 ) ]. For Σ ( xi – x_bar )2 I get the value 18.3132 and for ( n – 1 ) the value 11. When I solve for s= 1.29. However, it is the incorrect answer. I'm not sure what I'm doing wrong. I receive the value 18.3132 from subtracating the sample mean from each data entry and squared the result. The sum of all the results to equals 18.3132.
Can you please explain what I should do differently to get the correct answer. Thanks
Transcribed Image Text:The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 2.2
3.5
2.7E
below.
1.8
0.5
4.0
2.2
1.3
3.9
Assume the population is normally distributed.
0.4
2.2
3.1
(a) Find the sample mean.
x = 2.32 (Round to two decimal places as needed.)
(b) Find the sample standard deviation
s 1.29 (Round to two decimal places as needed.)
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