A population of scores has a mean of µ = 26, a median of 23, and a mode of 22. What is the most likely shape for the population distribution?

Question

A population of scores has a mean of µ = 26, a median of 23, and a mode of 22. What is the most likely shape for the population distribution?
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Solution 1

To determine the most likely shape for the population distribution given the mean, median, and mode, we can analyze the relationship between these three measures of central tendency.

  1. Mean (µ) = 26
  2. Median = 23
  3. Mode = 22

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A population of scores has a mean of µ = 26, a median of 23, and a mode of 22. What is the most likely shape for the population distribution?

23, 26, 11, 18, 09, 21, 23, 30, 22, 11, 15, 20, 23, 10, 30Using the information above draw a frequency table. Calculate the mean, mode and median.

If a distribution is positively skewed, then:Select one:a.mean > median > modeb.mean < median < modec.median > mean > moded.mean = mode = median

If a distribution is negatively skewed, then:Select one:a.mean > median > modeb.mean < median < modec.median > mean > moded.mean = mode = median

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