Mean and Median Formulas

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What does the mean represent in a given data set?

The average of the data set

Which formula is used to calculate the mean for ungrouped data?

Sum of observations/Number of observations

How is the median calculated when the number of observations (n) is even?

(n/2)th observation + {(n/2)+1}th observation)/2

What is the mode of a dataset?

The most frequently occurring value

In statistics, what does the term 'mean' refer to?

The average value of a dataset

What is the median of the data set 21, 19, 62, 21, 66, 28, 66, 48, 79, 59, 28, 62, 63, 63, 48, 66, 59, 66, 94, 79, 19?

66

In a frequency distribution, how is the mean calculated using the Assumed Mean Method?

Assumed mean plus sum of (class marks times deviations)

For the distribution x: 15, 21, 27, 30, 35 with respective frequencies f: 3, 5, 6, 7, 8; what is the mean?

27.655

In a grouped frequency distribution, which formula is used to calculate the median?

$l + ((N/2 - cf) / f) \times h$

What is the mode of the data set: 32, 6, 21, 10, 8, 11, 12, 36, 17, 16, 15, 18, 40, 24, 21, 23?

21

Learn how to calculate the mean and median of a given data set with the respective formulas. The mean is the average of the data, while the median is the middlemost value in an ordered set. Explore more about these statistical measures.

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