STATISTICAL TECHNIQUES AND TOOLS
MEASURES OF VARIABILITY
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A data set consists of the numbers 2, 2, 5, 6 and 15. Which statement is true for this data?
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median > mean
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mean = mode
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mode < median
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median = mode
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Explanation:
Detailed explanation-1: -Median: The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers). Example: The median of 4, 1, and 7 is 4 because when the numbers are put in order (1, 4, 7), the number 4 is in the middle.
Detailed explanation-2: -Count how many numbers are in the set. Find the pair of numbers in the middle. Calculate the average of the two by adding them together and dividing by two. The resulting value is the required median.
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