Statistics Practice Sheet
Practice Questions
1. Find the arithmetic mean, weighted mean, geometric mean, and harmonic mean of the
dataset: {5, 10, 15, 20, 25}.
2. Determine the mode of the dataset: {12, 15, 12, 18, 20, 12, 22}.
3. Calculate the median for the dataset: {45, 50, 55, 60, 65, 70}.
4. For the grouped data below, find the mean, median, and mode:
Class Interval
Frequency
10-20
5
20-30
8
30-40
12
40-50
10
50-60
5
5. Compute the range, variance, and standard deviation of the dataset: {6, 8, 10, 12, 14}.
6. A dice is rolled twice. Find the probability of getting:
a. A sum of 7.
b. Two even numbers.
7. A bag contains 4 red, 5 blue, and 6 green balls. If two balls are drawn at random, find the
probability that:
a. Both are red.
b. One is red and one is green.
8. From a group of 10 students, a team of 4 is to be selected. Find the number of ways this
can be done.
9. In how many ways can the letters of the word "STATISTICS" be arranged?
10. A coin is tossed 3 times. List all possible outcomes and find the probability of getting
exactly 2 heads.
11. Find the interquartile range (IQR) for the dataset: {20, 25, 30, 35, 40, 45, 50, 55}.
12. Find the cumulative frequency of the following data:
Class Interval
Frequency
10-20
4
20-30
6
30-40
8
