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Measures of Central Tendency

1. Students in a social work course received the following course grades: 83, 92, 92, 59, 72, 81, 27, 55, 70, 37, 62, 73, 71, 82, 83, 48, 96, 65, 66, 86, 79, 82, 95, 81, 96

o Create a frequency distribution for this data.
o Compute the mean.
o Determine the median.
o Determine the mode.
o Identify the range.
o What is the n for this data set?
o What is the standard deviation for this data set?

2. Consider the following three data sets and answer the questions that follow:

Dataset 1 Dataset 2 Dataset 3
5 12 40
4 4 12
3 3 4
3 3 3
3 2 3
2 2 3
1 1 2

o Determine the mean, median, and mode for each.
o What might you conclude from examining the differences in the mean, median and mode for these three data sets?
o For data set three, which measure of central tendency is the least appropriate? The most appropriate?
o What does this exercise indicate about the strengths and weaknesses of each of the measures of central tendency?
o Calculate the range and the standard deviation for each data set.

3. Consider the following table of data indicating the responses to 150 men and 150 women to the questions "If given the choice between vanilla or chocolate ice cream, which would you choose?". The results appear in the able below:

Chocolate Vanilla
Male 58 92
Female 86 64

o What percentage of women chose vanilla ice cream? Chocolate ice cream?
o What percentage of men chose vanilla ice cream? Chocolate ice cream?
o What percentage of the entire sample chocolate vanilla ice cream? Chocolate ice cream?
o Are there patterns that are noticeable in the data?

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