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Exam 3: Central Tendency.

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Question 31

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A population of N = 10 scores has a mean of μ = 6.After one score is removed,the mean is found to be M = 5.What is the value of the score that was removed?

A) X = 10
B) X = 5
C) X = 3
D) X = 15

E) All of the above
F) A) and B)

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Question 32

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What is the median for the set of scores shown in the frequency distribution table? $\begin{array} { l l } \ X & \mathrm { f } \\\hline 5 & 1 \\4 & 1 \\3 & 2 \\2 & 3 \\1 & 4\end{array}$

A) 1
B) 1.5
C) 2
D) 2.5

E) All of the above
F) A) and D)

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Question 33

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For a severely skewed distribution,the median often provides a better measure of central tendency than the mean.

In a sample of n = 3 scores,if two scores are each below the mean by 2 points,then the third score is above the mean by 4 points.

What is the median for the population of scores shown in the frequency distribution table? $\begin{array} { l l } \ X& \mathrm { f } \\\hline 5 & 1 \\4 & 2 \\3 & 3 \\2 & 4 \\1 & 2\end{array}$

A sample has n = 7 scores with a mean of M = 9.If one individual with a score of X = 3 is removed from the sample,the new mean will be M = 10.

Which of the following actions will always change the value of the mean?

A sample has a mean of M = 40.If 10 points are added to one of the scores,what is the new value for the sample mean?

What is the median for the following set of scores? Scores: 1,2,6,11,17

For a perfectly symmetrical distribution,which relationship is always true?

A sample of n = 5 scores has a mean of M = 12.What is ΣX for this sample?

A population with a mean of μ = 6 has ΣX = 54.How many scores are in the population?

One sample has n = 4 scores and M = 10.A second sample has n = 8 scores and M = 4.If the two samples are combined,what is the mean for the combined sample?

Compute the mean,median,and mode for the set of scores shown in the following frequency distribution table. $\begin{array} { c c } X & f \\\hline 7 & 1 \\6 & 2 \\5 & 3 \\4 & 4 \\3 & 1 \\2 & 0 \\1 & 1\end{array}$

A sample of n = 7 scores has a mean of M = 5.After one new score is added to the sample,the new mean is calculated to be M = 6.The new score was X = 13.

For a 100-point exam,a score of X = 65 is definitely above the median.

My electric bills for June,July,and August last summer were $75,$75,and $150,respectively.What was the mean amount for the three bills?

A sample of n = 6 scores has a mean of M = 8.One new score is added to the sample,and the new mean is computed to be M = 7.What is the value of the score that was added to the sample?

What is the mode for the following sample of n = 8 scores? Scores: 0,1,1,1,2,2,3,3

What is the mode for the population of scores shown in the frequency distribution table? $\begin{array} { c c } \mathrm { X } & \mathrm { f } \\5 & 1 \\4 & 2 \\3 & 3 \\2 & 4 \\1 & 2\end{array}$