A group of 50 students, 25 men and 25 women, reported the number of hours per we

Question

A group of 50 students, 25 men and 25 women, reported the number of hours per week they spent studying statistics. Use the table and histograms below to complete parts a. and b. Variable N Mean StDev Minimum Q1 Median Q3 Maximum Men 25 5.36 4.443 1.00 3.00 4.00 5.50 18.00 Women 25 7.56 3.709 3.00 5.00 7.00 10.00 20.00 click the icon to view the histograms for the two distributions. a. Refer to the histograms. Which measure of center should be compared: the means or the medians? Why? ( A. The distributions should be compared using the means and standard deviations because these are both symmetric distributions with no outliers B. Both data sets are ngh skewed and have out ers a represent large numbers o hours stud in s the means and standard de ations should compare O C. Both data sets are right-skewed and have outliers that represent large numbers of hours studying, so the medians and interquartile ranges should be compared. O D. It is appropriate to use either the medians or the means as measures of center. b. Compare the distributions in context using appropriate measures. (Don't forget to mention outliers, if appropriate). Refer to the table for the summary statistics. OA. The women tended to study more as measured by the median, and had less variation as measured by the standard deviation. O B. The women tended to study more as measured by the mean, and had more variation as measured by the interquartile range ° C. The women tended to study more as measured by the median, and had more variation as measured by the interquartile range. O D. The women tended to study more as measured by the mean, and had less variation as measured by the standard deviation

Explanation / Answer

Solution:-

a) option B. Both data sets are right-skewed and have outliers that represent large numbers of hours studying; so the means and standard deviations should be compared.

b)   option D. The women tended to study more as measured by the mean, and had less variation as measured by the standard deviation.

Explanation:-

mean = sum of terms/number of terms

median =  The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

mode = The mode of a set of data is the value in the set that occurs most often.

Range = The mode of a set of data is the value in the set that occurs most often.

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