Exercises
Put your descriptive statistics knowledge to the test in this interactive simulation quiz. Explore essential concepts used to summarize and interpret data, including mean, median, mode, range, variance, standard deviation, skewness, and symmetric distributions. Work through data sets, identify measures of central tendency, and examine how extreme values can affect results. This quiz is ideal for students building confidence with foundational statistics vocabulary, calculations, and data interpretation skills.
Answer the questions below and check the explanation for each answer.
0/10 answered
Auto audio on: the next questions will be read aloud when you click Continue.
The mean is calculated by summing all the numbers and dividing by the count. (3+7+7+19+7)/5 = 43/5 = 8.6.
The median is least affected by extreme values because it only depends on the middle value or the average of the two central numbers in an ordered data set.
The range is the difference between the highest and lowest values. 15-4=11.
The mode is the number that appears most frequently in a data set. Therefore, 7 is the most frequent.
Variance is the average of the squared differences from the mean. The mean is 10. SD is 6/5 and variance is (6/5)^2 = 36/25 ≈ 6.
The standard deviation is the square root of the variance and measures how spread out the numbers in a data set are.
The median is the middle number in a sorted list of numbers. Therefore, in {5, 10, 15}, 10 is the median.
Skewness measures the symmetry of the distribution of values in a data set. Positive or negative indicates distribution direction.
Standard deviation is a measure of variability, not central tendency, whereas median and mode are central tendency measures.
In a symmetric distribution, the mean, median, and mode are equal because the distribution is evenly spread on both sides.
Free CourseStatics course
5
(2)
21h45m
35 exercises
Free CourseStatistics Course for Beginners
5
(2)
9h48m
36 exercises
Free CourseProbability and Distributions Crash Course
5
(1)
10h37m
43 exercises
Free CourseStatistics full course
5
(2)
8h15m
Free CourseStatistics
4.8
(31)
12h44m
32 exercises
Free CourseStatistics
4.8
(33)
31h55m
25 exercises
Free CourseStatistics for Data Science
4.5
(2)
8h15m
Free CourseStatistics for Applications
New
28h00m
22 exercises
Thousands of online courses in video, ebooks and audiobooks.
To test your knowledge during online courses
Generated directly from your cell phone's photo gallery and sent to your email
Download our app via QR Code or the links below:.
Carry knowledge in your pocket.
Download the Cursa app.
There are hundreds of free courses available, with a free certificate of completion that is saved in your mobile image gallery.
Download the app to access the Course Completion Certificate for Free.
+ 10 million
students
Free and Valid
Certificate
60 thousand free
exercises
4.8/5 rating in
app stores
Free courses in
video and ebooks