Given the set of numbers {12, 18, 24, 30, 36}, find the mean.
(12 + 18 + 24 + 30 + 36) / 5 = 24
15
Determine the median of the following set of numbers: {7, 10, 15, 18, 22, 27}.
Since the set has an even number of elements, the median is the average of the two middle numbers: Median = (15 + 18) / 2 = 16.5.
20
Identify the mode(s) in the following set of data: {5, 8, 8, 12, 12, 12, 15, 15, 18, 18, 20}.
The modes in the given set are 12 and 15.
15
If the mean of the numbers {8, 12, 15, 18, x} is 14, find the value of x.
Given mean = (8 + 12 + 15 + 18 + x) / 5 = 14. Solving for x, we get x = 17.
15
Calculate the median of the set: {14, 18, 22, 27, 30, 35, 40, 44}.
Since the set has an even number of elements, the median is the average of the two middle numbers: Median = (27 + 30) / 2 = 28.5.
20
Can the mean ever be equal to the mode in a dataset? If yes, under what conditions?
Yes, the mean can be equal to the mode. This occurs when the data set is symmetrically distributed around the mean, such as in a normal distribution. In such ca
25
If there is no repetition in a set of data, what can you conclude about its mode?
If there is no repetition in a set of data, it means every value occurs only once, hence there's no mode.
