SSC CPO Statistics Questions

If each value in a dataset is multiplied by 2, how does the variance change?

In how many ways can the letters of the word 'BOOK' be arranged?

If the standard deviation of a dataset is 5, what is the variance?

The standard deviation of the dataset {5, 5, 5, 5, 5} is:

In how many ways can 4 red balls and 3 blue balls be arranged in a line?

How many ways can a committee of 3 members be selected from a group of 8 people?

How many 2-digit numbers can be formed using the digits 3, 5, 7, and 9 without repetition?

The variance of the dataset {2, 4, 6, 8, 10} is:

A student must answer 5 questions out of 8 questions in an exam. In how many ways can the student choose the questions?

The mean of five numbers is 12 and their variance is 4. If each number is increased by 3, what will be the new variance?

A coin is tossed 3 times. What is the probability of getting exactly 2 heads?

The median of the dataset {12, 15, 18, 21, 24} is:

In the dataset {3, 7, 7, 9, 11, 7, 13, 15}, what is the difference between the mode and the median?

The median of {10, 14, 18, 22, 26, 30} is:

In how many ways can 5 different books be arranged on a shelf?

In a dataset {5, 8, 8, 12, 15, 8, 20}, the mode is:

Seven students scored: 45, 52, 48, 52, 55, 52, 60. What is the mean score?

A committee of 4 members is to be selected from 6 men and 5 women. In how many ways can this be done if the committee must have at least 2 women?

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 without repetition, such that the number is divisible by 5?

The standard deviation of five numbers is 4. If the sum of the numbers is 50, what is the sum of their squares?