Important Questions for CBSE Class 7 Mathematics/Data Handling

Important Questions for CBSE Class 7 Mathematics is about the Model Questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 7 Mathematics. This worksheet is designed for CBSE Class 7 Mathematics students.

Important Questions for CBSE Class 7 Mathematics
Data Handling – Chapter 3/Extra Questions for Practice
Answer the following:

1. Find the range of the following data: 96, 38, 47, 32, 48, 23, 27 and 28?
2. Find the mode of the following data: 11, 13, 15, 11, 14, 12, 11, 18, 11 and 19?
3. Find the AM of 20, 25, 40, 30 and 35?
4. Find the median of the data: 18, 12, 15, 25 and 20?
5. When a dice is thrown, find the probability of getting an even number?
6. Find the mean of first ten prime numbers?
7. A bag contains 8 red balls and 4 blue balls. One ball is drawn at random from the bag. Find the probability of getting:
   a) red ball
   b) blue ball
8. Find x if the mean of the following numbers is 30.
   28, 25, x, 29, 22
9. Find the mean of first 5 multiples of 5?
10. Find the median of first 7 prime numbers?

SOLUTION:

1. Greatest number: 96
   Smallest number: 23
   Range = 96 – 23 = 73
2. Mode is 11 because it occurs more frequently.
3. Arithmetic Mean = Sum of all observations/ Number of observations
   = (20 + 25 + 40 + 30 + 35)/5
   = 150/5 = 30
4. Arrange the given data in ascending order:
   12, 15, 18, 20, 25
   Median = 18
5. Numbers on a die are 1, 2, 3, 4, 5, 6
   Even numbers are 2, 4, 6
   P (getting an even number) = 3/6 = ½
6. First 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.
   Mean = (2+3+5+7+11+13+17+19+23+27)/10
   = 129/10 = 12.9
7. Total number of balls = 8 + 4 = 12
   Number of red balls = 8
   P (getting a red ball) = 8/12 = 2/3
   Number of blue balls = 4
   P (getting a blue ball) = 4/12 = 1/3
8. Given mean = 30
   (28 + 25 + x + 29 + 22)/5 = 30
   104 + x = 150
   x = 150 – 104 = 46
9. First 5 multiples of 5 are 5, 10, 15, 20, 25
   Mean = (5 + 10 + 15 + 20 + 25)/5 = 75/5 = 15
10. First 7 prime numbers are 2, 3, 5, 7, 11, 13, 17.
    Median = 7