WorksheetsMath Statistics Challenge
Total questions: 16
Worksheet time: 8mins
Calculate the mean of the following numbers: 10, 15, 20, 25, 30
22
18
20
28
Find the median of the data set: 12, 15, 18, 21, 24
24
21
18
15
Identify the mode in the list: 5, 7, 7, 9, 10
9
5
10
7
What type of graph is best used to represent categorical data?
Line graph
Bar graph
Pie chart
Scatter plot
Define central tendency in statistics.
Central tendency in statistics is the middle or central value of a dataset, representing the center of the distribution of values.
Central tendency is the lowest value in a dataset
Central tendency is the highest value in a dataset
Central tendency is the sum of all values in a dataset
Explain the concept of statistical variability.
Statistical variability is only applicable to qualitative data.
Statistical variability is the measure of how spread out the values in a data set are or how much they differ from the mean.
Statistical variability refers to the process of calculating the mean of a data set.
Statistical variability is the measure of how similar the values in a data set are to each other.
If the mean of a data set is 50 and there are 10 numbers in the set, what is the total sum of the numbers?
500
450
550
600
Arrange the following numbers in ascending order: 35, 20, 45, 15, 30
15, 20, 25, 30, 35
20, 15, 30, 35, 45
15, 20, 30, 35, 45
45, 35, 30, 20, 15
Which measure of central tendency is affected by outliers?
Range
Mean
Mode
Median
What is the range of the data set: 10, 15, 20, 25, 30
20
35
5
18
What is the purpose of a box plot in statistics?
To show the range of values in a dataset
To represent the correlation between two variables
The purpose of a box plot in statistics is to visually represent the distribution of a dataset, showing the median, quartiles, and potential outliers.
To display only the mean of a dataset
Calculate the mean of the data set: 5, 10, 15, 20, 25
15
22
10
18
Explain the difference between mean and median.
Mean is calculated by multiplying all numbers together. Median is calculated by adding all numbers.
Mean is the highest value in a dataset. Median is the lowest value in a dataset.
Mean is always an odd number. Median is always an even number.
Mean is the average, calculated by adding all numbers and dividing by the count. Median is the middle value when numbers are ordered.
What is the value that appears most frequently in a data set called?
median
average
mean
mode
How is the interquartile range calculated?
Divide the range by the number of data points
Add the first quartile (Q1) to the third quartile (Q3)
Multiply the median by the range
Subtract the first quartile (Q1) from the third quartile (Q3)
If the median of a data set is 18, and there are 9 numbers below it, what is the 5th number in the set?
22
16
20
18
