Question Bank

Find the Q1 of a continuous series where N=100, lower limit of Q1 class is 10, h=10, f=20, and cf=15.

If the mean of n numbers is x-bar, and each number is increased by 1, 2, 3, ... n respectively, what is the new mean?

In a frequency distribution, if the mean is 21 and the mode is 21, then the distribution is:

Find the missing frequency f for the class 20-30 if the median is 25, N=60, cf=20, and class interval size is 10.

The mean age of a group of 100 people was 30. Later it was discovered that age 45 was misread as 25. The correct mean is:

If the combined mean of two groups is 40, Group 1 has mean 35 (n=30), and Group 2 has mean 43, find the number of observations in Group 2.

Which partition value divides the distribution into four equal parts?

Find the median of the first 10 even numbers.

The mean of 10 observations is 15.7. If a new observation 19 is added, the new mean is:

If the lower quartile Q1 is 20 and the upper quartile Q3 is 60, what is the value of the semi-interquartile range?

In a pie chart representing a student's time, if 'Sleep' takes 8 hours, what is its central angle?

Find the mean of the first n odd natural numbers.

If the median of a distribution is 25 and the mean is 25, find the mode using the empirical relationship.

For a data set where all values are the same (e.g., 7, 7, 7, 7), the variance is:

What is the Q3 of the marks: 2, 3, 5, 8, 9, 12, 15?

If Σf = 100, and the median is found at the 50th position, what is the value of N/2 used in the continuous median formula?

A student's marks in 5 subjects are 70, 75, 80, 85, and 90. What is the mean absolute deviation about the mean?

Find the mean of the first five prime numbers.

What is the mode of the data: 10, 20, 20, 30, 40, 40, 40, 50, 60?

Calculate the median of the following observations: 5, 12, 3, 18, 7.