Exam Questions & Step-by-Step Markschemes (49 Problems)
Question 1 • 2023
4 Marks
The median of the following frequency distribution is 28.5 . Find the values of x and y , if the total frequency is 60 : \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Class Interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & 50-60 \\ \hline \text{Frequency} & 5 & x & 20 & 15 & y & 5 \\ \hline \end{array}
Answer: x = 8, \quad y = 7
Question 2 • 2023
5 Marks
The median of the following grouped frequency distribution of 100 observations is 525. Find the missing frequencies x and y : | Class Interval | Frequency | | :--- | :--- | | 0 - 100 | 2 | | 100 - 200 | 5 | | 200 - 300 | x | | 300 - 400 | 12 | | 400 - 500 | 17 | | 500 - 600 | 20 | | 600 - 700 | y | | 700 - 800 | 9 | | 800 - 900 | 7 | | 900 - 1000 | 4 |
Answer: x = 9, \quad y = 15
Question 3 • 2023
1 Marks
If the value of each observation of a statistical data is increased by 3 , then the mean of the data
Answer: Option (B) : increases by 3
Question 4 • 2023
1 Marks
If every term of the statistical data consisting of n terms is decreased by 2 , then the mean of the data:
Answer: (a) decreases by 2
Question 5 • 2024
1 Marks
The mean of five observations is 15 . If the mean of first three observations is 14 and that of the last three observations is 17 , then the third observation is
Answer: Option (C) : 18
Question 6 • 2024
1 Marks
If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11 , then the value of x is :
Answer: Option (B) : 7