Basic statistics and definitions
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1. Explain the following concepts:
1. Statistics
2. Parameter
3. Raw data
4. Grouped data
2. Refer to the math scores of the 12 students below:
75 80 68 53 99 58 76 73 85 88 91 79
Find the percentile rank for the score 85. Give a brief interpretation of this percentile rank.
3. Consider the following two data sets.
Data Set I 8 16 20 35
Data Set II 5 13 17 32
Note that each value of the second data is obtained by subtracting three from the corresponding value of the first data set.
a. Calculate the mean for each of these two data sets. Comment on the relationship between the two means
b. Calculate the standard deviation for each of these two data sets. Comment on the relationship between the two standard deviations.
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The solution gives definitions of basic statistical terms.
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