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    Average level of reading ability

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    A researcher tested the reading ability of two groups of primary care patients. The scores on the test range from 1 to 9 with 9 indicating a high degree of reading ability and 1 very limited reading ability. The researcher is interested in knowing the average level of reading ability for each group separately and for the sample as a whole. Calculate these indices using appropriate statistics, provide a rationale for the ones you chose to use and provide an interpretation of the results.

    Group 1: 4, 8, 6, 6, 2, 1, 7, 3, 4, 3

    Group 2: 5, 8, 7, 2, 4, 5, 2, 9.

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    Solution Preview

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    In this question, you can assume that the reading ability scores are either ordinal or interval. Because I am not familiar with the context, I will answer the question first assuming the data are interval and then assuming the data are ordinal. However, I would argue that the data are indeed ordinal because the range is very limited (1 to 9) to be an accurate interval measure of reading ability.

    Assuming data are interval:

    Stem-and-Leaf Plot
    Frequency Stem & Leaf
    1.00 0 . 1
    2.00 0 . 23
    1.00 0 . 4
    3.00 ...

    Solution Summary

    The solution explains appropriate central tendency measures for the given data sets.