The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51, 80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. X = (c) Calculate (x - x) for each range and fill in the table below. Range (d) Calculate (x - x)²f for each range and fill in the table below. 50-59 60-69 70-79 80-89 90-99 S= n xf) S = Frequency f Midpoint x Enter a number. (e) Using the following equation, compute the standard deviation of the class scores. (x-x)²F n-1 Σ(x-x)²f n - 1 xf 29 x-x (x - x)²f
The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51, 80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. X = (c) Calculate (x - x) for each range and fill in the table below. Range (d) Calculate (x - x)²f for each range and fill in the table below. 50-59 60-69 70-79 80-89 90-99 S= n xf) S = Frequency f Midpoint x Enter a number. (e) Using the following equation, compute the standard deviation of the class scores. (x-x)²F n-1 Σ(x-x)²f n - 1 xf 29 x-x (x - x)²f
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use
rounded intermediate values in your calculations-including answers submitted in WebAssign.)
Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72,
51,80
(a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into
the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.)
(b) Using the following equation, determine the mean value (x) and fill in the table below.
Σ(XA)
n
X =
(c) Calculate (x − x) for each range and fill in the table below.
(d) Calculate (x - x)²f for each range and fill in the table below.
Range Frequency f Midpoint x
50-59
60-69
70-79
80-89
90-99
S =
Enter a number.
S =
(e) Using the following equation, compute the standard deviation of the class scores.
Σ(x-x) ²f
n - 1
Σ(x-x) ²4
n - 1
=
xf
29
X
X - X
(x - x)²f
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