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Mean and Median Formulas

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Questions and Answers

What does the mean represent in a given data set?

The average of the data set (correct)

The most frequently occurring value

The middlemost data value

The lowest value in the data set

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

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

Sum of observations/Number of observations (correct)

(n + 1)/2

(n + 1)/2th observation

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

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

(n + 1)/2th observation

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

(n + 1)/2

What is the mode of a dataset?

The most frequently occurring value Signup and view all the answers

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

The average value of a dataset Signup and view all the answers

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 Signup and view all the answers

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

Assumed mean plus sum of (class marks times deviations) Signup and view all the answers

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

27.655 Signup and view all the answers

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

$l + ((N/2 - cf) / f) \times h$ Signup and view all the answers

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 Signup and view all the answers