SOLUTION: a)Find the standard deviation of the following set of data. 180, 187, 175, 186, 177, 196, 166 b)The results on an English exam are normally distributed. the z-scores for som

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Question 136825: a)Find the standard deviation of the following set of data.
180, 187, 175, 186, 177, 196, 166
b)The results on an English exam are normally distributed. the z-scores for some of the students are shown below.
Jan 1.3 Kim 1.8 Lou -1.1 May 0.0
Nan 1.1 Fay -1.7 Gia 1.1 Sue -1.8
Which of the students scored below the mean?
Thanka in advance

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a)Find the standard deviation of the following set of data.
180, 187, 175, 186, 177, 196, 166
add the numbers and divide the sum by 7 to get the mean of 181
standard deviation is 9.6954...
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b)The results on an English exam are normally distributed. the z-scores for some of the students are shown below.
Jan 1.3 Kim 1.8 Lou -1.1 May 0.0
Nan 1.1 Fay -1.7 Gia 1.1 Sue -1.8
Which of the students scored below the mean?
When you have z-scores the mean corresponds to "0" because
the mean is zero distance from the mean.
So all the students with negative z-scores scored below the mean.
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Cheers,
Stan H.

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