alculate the variance of 13, 25, and 16, using the sum of squares formula (also known as the shortcut formula) for mple variance, where x represents the data value and n is the number of values. Ex? (Ex)* variance n – 1 Step 1. Determine the sum of squares of the three values. Σ Step 2. Determine the square of the sum of the three values. (Ex)° = Step 3. Divide the result in Step 2 by n. (Ex)² Step 4. Subtłact the result in Step 3 from the result in Step 1. (Ex) Step 5. Divide the result in Step 4 by n – 1. Ex? - (Ex)? %3D n - 1

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 13PPS
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Question
Calculate the variance of 13, 25, and 16, using the sum of squares formula (also known as the shortcut formula) for
sample variance, where x represents the data value and n is the number of values.
(E x)*
Ex?
variance =
п — 1
Step 1. Determine the sum of squares of the three values.
Ex =
Step 2. Determine the square of the sum of the three values.
(Ex)° =
Step 3. Divide the result in Step 2 by n.
(Ex)²
Step 4. Subtřact the result in Step 3 from the result in Step 1.
(Ex)
Ex? -
n
Step 5. Divide the result in Step 4 by n – 1.
Ex? -
(Ex)?
п — 1
Transcribed Image Text:Calculate the variance of 13, 25, and 16, using the sum of squares formula (also known as the shortcut formula) for sample variance, where x represents the data value and n is the number of values. (E x)* Ex? variance = п — 1 Step 1. Determine the sum of squares of the three values. Ex = Step 2. Determine the square of the sum of the three values. (Ex)° = Step 3. Divide the result in Step 2 by n. (Ex)² Step 4. Subtřact the result in Step 3 from the result in Step 1. (Ex) Ex? - n Step 5. Divide the result in Step 4 by n – 1. Ex? - (Ex)? п — 1
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