Hard - Quiz 1

Dig into standard deviation comparisons, frequency-table medians, data transformations, interquartile range, and problems that combine multiple statistics at once.

Question 1 of 5

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Question 1

Three data sets each have a mean of 50. \[\begin{array}{|c|l|} \hline \textbf{Set} & \textbf{Values} \\ \hline A & 50,\ 50,\ 50,\ 50,\ 50 \\ B & 48,\ 49,\ 50,\ 51,\ 52 \\ C & 30,\ 40,\ 50,\ 60,\ 70 \\ \hline \end{array}\] Which data set has the greatest standard deviation?

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A teacher recorded quiz scores for a class. The results are shown in the frequency table below. \[\begin{array}{|c|c|} \hline \textbf{Score} & \textbf{Frequency} \\ \hline 1 & 3 \\ 2 & 5 \\ 3 & 8 \\ 4 & 4 \\ 5 & 2 \\ \hline \end{array}\] What is the median score?

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A class of students took a test with a mean score of 72 and a standard deviation of 8. The teacher decides to add 5 bonus points to every student's score. What are the new mean and standard deviation?

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The ages, in years, of eight members of a hiking club are listed below. 10, 15, 20, 25, 30, 35, 40, 45 What is the interquartile range (IQR) of the ages?

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Five positive integers are arranged in increasing order. The median is 10, the mean is 12, and the range is 16. If the smallest value is 4, what is the largest value?

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