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Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8,9,-18, 12

Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8,9,-18, 12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 3CYU
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GUIDE Common measures The Variance and Standard Deviation The variance and standard deviation of Grouped Data is given by the formula 3²-Ef(x-2)² 2f(x − 1)2 R-for Variance m-1 ✓ Example Compute the standard deviation of the following grade distribution of 40 students based on their 25-point test. Class Frequenc 5-7 2 8-10 4 11-13 14 14-16 9 17-19 6 20-22 3 23-25 2 Solution 5-7 2 8-10 4 11-13 14 14-16 9 17-19 6 20-22 3 23-25 2 n = 40 Solution Σ/(x-2)² H-1 733.5 40-1 733.5 39 s² 6 9 12 15 18 21 24 = fx 570 n 40 12 36 168 135 108 63 48 fx=570 XE -=14.25 -8.25 -5.25 -2.25 .75 3.75 6.75 9.75 s² = 18.80769 S=√18.80769 S=434 for Standard Deviation 68.0625 136.125 27.5625 110.25 5.0625 70.875 5625 5.0625 14.0625 84.375 45.5625 136.6875 95.0625 190.125 Σf(x-x)²-733.5 12 14-15/22 ⠀⠀
Transcribed Image Text:GUIDE Common measures The Variance and Standard Deviation The variance and standard deviation of Grouped Data is given by the formula 3²-Ef(x-2)² 2f(x − 1)2 R-for Variance m-1 ✓ Example Compute the standard deviation of the following grade distribution of 40 students based on their 25-point test. Class Frequenc 5-7 2 8-10 4 11-13 14 14-16 9 17-19 6 20-22 3 23-25 2 Solution 5-7 2 8-10 4 11-13 14 14-16 9 17-19 6 20-22 3 23-25 2 n = 40 Solution Σ/(x-2)² H-1 733.5 40-1 733.5 39 s² 6 9 12 15 18 21 24 = fx 570 n 40 12 36 168 135 108 63 48 fx=570 XE -=14.25 -8.25 -5.25 -2.25 .75 3.75 6.75 9.75 s² = 18.80769 S=√18.80769 S=434 for Standard Deviation 68.0625 136.125 27.5625 110.25 5.0625 70.875 5625 5.0625 14.0625 84.375 45.5625 136.6875 95.0625 190.125 Σf(x-x)²-733.5 12 14-15/22 ⠀⠀
PROBLEM SET NUMBER 7: Measure of Variability for ungrouped data Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8, 9, -18, 12 4. 2.34, 5.21, 8.21, 4.31 5. 32.1, 23.4, 12.4, 65.7 6.38,3 7. 20, 21, 22, 23, 24 8. 123, 121, 133, 45 9. 123, 1211, 133, 45 10.99, 88, 99, 87,85
Transcribed Image Text:PROBLEM SET NUMBER 7: Measure of Variability for ungrouped data Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8, 9, -18, 12 4. 2.34, 5.21, 8.21, 4.31 5. 32.1, 23.4, 12.4, 65.7 6.38,3 7. 20, 21, 22, 23, 24 8. 123, 121, 133, 45 9. 123, 1211, 133, 45 10.99, 88, 99, 87,85
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