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Measure of Central Tendency

# Measure of Central Tendency - The term"Average is vague...

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The term "Average" is vague Average could mean one of four things. The arithmetic mean, the median, midrange, or mode. For this reason, it is better to specify which average you're talking about. Mean This is what people usually intend when they say "average" Population Mean: Sample Mean: Frequency Distribution: The mean of a frequency distribution is also the weighted mean. Median The data must be ranked (sorted in ascending order) first. The median is the number in the middle. To find the depth of the median, there are several formulas that could be used, the one that we will use is: Depth of median = 0.5 * (n + 1) Raw Data The median is the number in the "depth of the median" position. If the sample size is even, the depth of the median will be a decimal -- you need to find the midpoint between the numbers on either side of the depth of the median. Ungrouped Frequency Distribution Find the cumulative frequencies for the data. The first value with a cumulative frequency greater than depth of the median is the median. If the depth of the median is exactly 0.5 more than the

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Measure of Central Tendency - The term"Average is vague...

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