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WorksheetsStatistics Dispersion Quiz
Total questions: 15
Worksheet time: 15mins
What does the term 'dispersion' in statistics refer to?
The sum of all data points
The spread or variability of a set of data
The shape of the data distribution
The center of a distribution
Which of the following measures is not a measure of dispersion?
Mean
Variance
Range
Standard Deviation
The range is calculated as:
The difference between the maximum and minimum values
The product of the data set
The sum of all values in the data set
The average of the data set
The interquartile range (IQR) is a measure of dispersion based on which quartiles?
First and third quartiles
Second and fourth quartiles
First and second quartiles
Second and third quartiles
Which measure of dispersion is influenced heavily by extreme values in a data set?
Interquartile Range
Standard Deviation
Variance
Range
Question: Given the following dataset: 12, 15, 18, 20, 22, calculate the range.
A set of data has a mean of 45 and a standard deviation of 5. Calculate the coefficient of variation.
The monthly incomes (in dollars) of a group of employees are: 4000, 4500, 3800, 4200, 5000. Calculate the coefficient of variation.
Question: The ages of a group of students are: 18, 20, 22, 24, 26. What is the range of ages?
8
6
10
12
Question: The standard deviation of a dataset is 5, and the mean is 30. What is the coefficient of variation (CV)?
16.67%
25%
20%
15%
Question: The range of a dataset is 18, and the minimum value is 10. What is the maximum value?
20
28
16
30
Question: The variance of a dataset is 36, and the mean is 12. What is the standard deviation?
6
9
12
3
Question: The interquartile range (IQR) of a dataset is 15, and the third quartile (Q3) is 35. What is the first quartile (Q1)?
20
15
25
30
Question: The relationship between the mean, median, and mode in a perfectly symmetrical distribution is:
Mean = Median = Mode
Mean < Median < Mode
Mean > Median > Mode
Mean = Median ≠ Mode
Question: The QD (Quartile Deviation) is calculated as:
Q3 - Q1
Q2 - Q1
Q3 + Q1
Q2 + Q3
