The Mean Is Sometimes Called the Arithmetic Mean to Distinguish

question 28

Short Answer

The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the harmonic mean (H.M.), is used to average speeds. This mean is defined to be the sum of the reciprocals of all scores divided into the number of scores. For example, the harmonic mean of the numbers 4, 5, 6, 6, 7, 8 is Find the arithmetic mean and the harmonic mean of the numbers 1, 1, 6, 6, 7, 8, 8, 9, 9, and 10.
Round your answers to the nearest tenth.
The arithmetic mean is
__________
The harmonic mean is
__________

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Definitions:

Z Statistic

A type of standard score that indicates how many standard deviations an element is from the mean of its population.

Normal Distribution

A bell-shaped frequency distribution curve that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

One-tailed Test

A statistical hypothesis test in which the alternative hypothesis specifies a direction of the effect.

One-tailed Hypothesis Test

A statistical test in which the region of rejection is on only one side of the sampling distribution, used when a specific direction for the data is predicted.