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 _______
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 :
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
Use the table to find the value that is three standard deviations above and below the mean
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