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Analyzing Class Quiz Results: Boys vs. Girls

This lesson focuses on analyzing the results from a class quiz comparing boys and girls. The boys' scores (54, 84, 70, 72, 92, 32, 92, 78, 80) and girls' scores (52, 74, 84, 94, 70, 68, 88, 80) are arranged in order from least to greatest. We summarize the data using measures of central tendency: mean, median, and mode. Additionally, we discuss measures of dispersion, including range and standard deviation. Finally, we will illustrate the data using a Box-and-Whisker plot. Complete your review at home in preparation for the upcoming test.

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Analyzing Class Quiz Results: Boys vs. Girls

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  1. Statistics Consider the results form a class quiz: Boys: 54, 84, 70, 72, 92, 32, 92, 78, 80 Girls: 52, 74, 84, 94, 70, 68, 88, 80 Put the data in order from least to greatest: Boys: Girls:

  2. To summarize the data, we use measures of central tendency: Mean: (a.k.a. average) add up the numbers and divide by the number of data Mean (boys) =

  3. Median: the middle number when the data is written in order  If there is an even amount of data, average the two middles Median (boys) =

  4. Mode: the number that occurs most frequently in the data  There may be no mode or several modes Mode (boys) =

  5. To tell how spread out the data is, we use measures of dispersion: Range: the difference between the largest and smallest numbers in the data Range = (greatest value) – (least value) Range (boys) =

  6. Standard Deviation: describes the typical difference between the mean and a data value Std. Dev. (boys) =

  7. To help us visualize the data, we can use a Box & Whisker Plot • Put the data in order from least to greatest. • Find the minimum and maximum values • Find the median • Find the Lower Quartile (median of the lower half of the data) • Find the Upper Quartile(median of the upper half of the data) • Plot the five values on a scaled number line • Draw the boxand whiskers

  8. Ex. Make a box-and-whisker plot for the boys scores.

  9. Ex. For the girls scores, find the following: Mean: Median: Mode: Range: Standard Deviation: Box-and-whisker Plot:

  10. Please do the review and finish it at home. This is the last lesson from the chapter, the test will be on next class.

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