Question

Use the table to find the value that is three standard deviations above and below the mean. (Enter exact numbers as integers, fractions, or decimals.) 

Baseball Player	Batting Average	Team Batting Average	Team Standard Deviation
Fredo	0.158	0.116	0.012
Kart	0.177	0.169	0.015

(a) above the mean 

Fredo's Team  _______ 

Kart's Team _______ 

(b) below the mean 

Fredo's Team _______ 

Karl's Team _______ 

Answer 1

Where is the mean and is standard deviation.

Since we are given teams's mean and standard deviations we simply add or subtract to find the below or above the mean.

Given

Fredo's team batting average = 0.116

Fredo's team standard deviation = 0.012

Karl's team batting average = 0.169

Karl's team standard deviation = 0.015

a.) Above the mean

Fredos team = 0.116 + 3*0.012 = 0.152

Karl's team = 0.169 + 3*0.015 = 0.214

b.) Below the mean

Fredo's team = 0.116 - 3*0.012 = 0.08

Karl's team = 0.169 - 3*0.015 = 0.124

Answer 2

ANSWER :

a. 3 SD above mean :

Fredo’s team  : 0.116 + 3*0.012 = 0.152 

Karl’s team : 0.169 + 3*0.015 = 0.214 

b. 3 SD below mean :

Fredo’s team  : 0.116 - 3*0.012 = 0.080

Karl’s team : 0.169 - 3*0.015 = 0.124