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3. Indicate whether the given statement could apply to a data set consisting of 1,000 values that are all different.

a. The 29th percentile is greater than the 30th percentile.
b. The median is greater than the first quartile.
c. The third quartile is greater than the first quartile.
d. The mean is equal to the median.
e. The range is zero.

  • statistic -

    b and c are definitely true. Median = second quartile.

    d can be true, but is not necessarily so.

    1, 2, 3, 4, 5, 6, 7, both are 4

    1, 2, 3, 4, 5, 6, 10, median still 4, but mean is higher. Mean is most effected by deviant scores.

    a and e are false.

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