You used SS₂ = Σ(x-x) when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below. (Ex)² SSX = Ex² n Click the icon for a table of the ages (in years) of shoppers at a local store. (a) Use the shortcut formula to calculate the sample standard deviation. S= (Simplify your answer. Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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You used SS, = Σ(x-x) when calculating variance and standard deviation. An alternative formula for the standard
deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by
dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample
variance. Complete parts (a) and (b) below.
(Ex)²
SSx
Click the icon for a table of the ages (in years) of shoppers at a local store.
= Σχε
(a) Use the shortcut formula to calculate the sample standard deviation.
S=
(Simplify your answer. Round to one decimal place as needed.)
Transcribed Image Text:You used SS, = Σ(x-x) when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below. (Ex)² SSx Click the icon for a table of the ages (in years) of shoppers at a local store. = Σχε (a) Use the shortcut formula to calculate the sample standard deviation. S= (Simplify your answer. Round to one decimal place as needed.)
4
n ex
You used SS = x (x-x)² when calculating variance and standard deviation. An alternative formula for the standard
deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by
dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample
variance. Complete parts (a) and (b) below.
(Ex)²
SS = Ex².
Click the icon for a table of the ages (in years) of shoppers at a local store.
Data table
19
16
15
18
20
17
19
16
Shoppers' Ages
20
20
18
18
20
19
24
20
18
18
16
16
n
X
ar all
Check answer
Transcribed Image Text:4 n ex You used SS = x (x-x)² when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below. (Ex)² SS = Ex². Click the icon for a table of the ages (in years) of shoppers at a local store. Data table 19 16 15 18 20 17 19 16 Shoppers' Ages 20 20 18 18 20 19 24 20 18 18 16 16 n X ar all Check answer
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