CBSE Worksheet for chapter 13 Measures or Central tendency class 10
Worksheet For class 10
Find CBSE Worksheet for chapter 13 Measures or Central tendency class 10
CLASS10
BOARD: CBSE
Mathematic Worksheet  13
TOPIC: Measures or Central tendency
For other CBSE Worksheet for class 10 Mathematic check out main page of Physics Wallah.
FORMULAE

Mean ( x) = (x_{1}+ x_{2}+ x_{3}+⋯…..+x_{n})/n = (∑x)/n

Mean ( x ) = ∑f_{i} x_{i}/∑f_{i}

Mean (x ) = A + ∑f_{i}x_{i}/∑f_{i} , where d_{i }= x_{i}A

Mean ( x) = A +h(∑f_{i}u_{i}/∑f_{i}) , where = u_{i} = x_{i}  A /h

a) If n is odd, then Median = the value of ((n+1)/2)^{th} observation
b) If n is even, then Median =(the value of (n/2)^{th} observation+ the value of ((n+1)/2)^{th} observation)/2
QUESTIONS

If the mean of the numbers 15, 20, a, 32, b is 25, find b in terms of a.

The mean of 11 results is 30. If the mean of first 6 results is 28 and that of the last 6 results is 32, find the 6^{th} results.

The mean weight of a class of 35 students is 45 kg. If the weight of the teacher be included the mean weight increases by 500 g. find the weight of the teacher.

If the median of 11, 12, 14, 18, x +2, x + 4, 30, 32, 35, 41 is 24, find the value of x.

The mean of 30 values is 150, if 2 is subtracted from every number, what will be the new mean ?

Find the median of:
19, 25, 59, 48, 35, 31, 30, 32, 51.If 25 is replaced by 52, find the new median.

For what value of p, the mode of following data is 5 :
1, 2, 5, 7, 5, 2, 7, 5, 9, 2, 3, p, 11.

The mean of the following frequency table is 50. But the frequenciesf_{1}and f_{2 }in the class 2040 and 6080 are missing. Find the value of f_{1} and f_{2}.
Class 
020 
2040 
4060 
6080 
80100 
Total 
Frequency 
17 
f_{1} 
32 
f_{2} 
19 
120 
9. Find the mode of the following distribution by drawing a histogram.
Daily wages(in Rs) 
3136 
3742 
4348 
4954 
5560 
6165 
No. of workers 
6 
12 
20 
15 
9 
4 
10.The frequency distribution of weights of a group of 80 students in a class in a school is given below :
Weights(in kg) 
4044 
4549 
5054 
5559 
6064 
6569 
7074 
No. of students 
5 
8 
14 
20 
16 
10 
7 
Draw the histogram and find the modal weight.
ANSWERS

b = 58a

30

63 kg

x = 21

148

32, 35

p = 5

= 28, = 24

Rs. 46.5

57.5 kg