WBBSE Solutions For Class 10 Maths Chapter 26 Statistics Mean, Median, O Give, Mode Exercise 26.1

West Bengal Board Class 10 Math Book Solution In English Chapter 26 Statistics Mean, Median, O Give, Mode Exercise 26.1

Application 1. The marks obtained by 30 students of the class of the Bishakha in Geography are :

60, 78, 80, 69, 73, 61, 82, 78, 79, 72, 78, 62, 80

71, 82, 73, 62, 80, 74, 78, 62, 80, 66, 70, 79, 75

Let us find the arithmetic mean of marks obtained in Geography. 

Solution: To find the Arithmetic mean of marks obtained in Geography

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1. I have written the ages of my 40 friends in the table given below

 

 

Solution:

 

 

2. I have written the number of members in each of the 50 families of our village in the table given below

 

West Bengal Board Class 10 Math Book Solution In English

Solution:

 

 

3. If the arithmetic mean of the data given below is 20.6, let us find the value of ‘a’.

 

 

Solution:

 

West Bengal Board Class 10 Math Book Solution In English

4. If the arithmetic mean of the distribution given below is 15, let us find the value of p.

 

 

Solution:

 

 

5. Rahamatchacha will go to the retail market for selling mangoes kept in 50 packing boxes. Let us write the number of boxes contained for varying numbers of mangoes in the table given below.

 

West Bengal Board Class 10 Math Book Solution In English

Solution:

 

 

6. Mohidul has written the ages of 100 patients of a village hospital. Let us write by calculating the average age of 100 patients.

 

West Bengal Board Class 10 Math Book Solution In English

Solution:

 

 

7. Let us find the mean of the following data by the direct method.

 

Solution:

 

 

 

Class 10 WBBSE Math Solution In English

Question 8. Let us find the mean of the following data by the assumed mean method.

1.

 

 

Solution:

 

 

2.

Class 10 WBBSE Math Solution In English

 

Solution:

 

 

Question 9. Let us find the mean of the following data by step deviation method.

1.

Class 10 WBBSE Math Solution In English

 

Solution: Let assumed mean a = 75

μ_i = x_i-a/h, h

= 30-0= 60-30

= 90-60

=30

 

2.

 

Class 10 WBBSE Math Solution In English

Solution: Let assumed mean a = 35

μ_i = x_i-a/h , h

= 14-0

= 28-14

= 42-28

= 14

 

 

Question 10. If the mean of the following frequency distribution table is 24, let us find the value of p.

 

 

Solution:

 

 

Question 11. Let us see the ages of the persons present in a meeting and determine their average age from the following table

 

Class 10 WBBSE Math Solution In English

Solution:

 

 

Question 12. Let us find the mean of the following data

 

WBBSE Solutions Guide Class 10

Solution:

 

 

Question 13. Let us find the mean of marks obtained by girl students if their cumulative frequencies are as follows

 

 

Solution:

 

Question 14. Let us find the mean of the marks obtained from 60 students from the table given below.

 

WBBSE Solutions Guide Class 10

Solution:

Application 1. The points obtained by two kabaddi teams in different matches are

given below. Let us determine their median.

1. 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

2. 6, 7, 8, 8, 9, 10, 15, 15, 16, 17, 19, 25

Solution:

1. Find the median

5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

Here no. of terms(n) = 11 (i.e., odd)

∴ Median = (11+1/2)^th value = 6th value = 10

2. Find the median 

6, 7, 8, 8, 9, 10, 15, 15, 16, 17, 19, 25 

Here no. of terms (n) = 12 (i.e., even)

∴ Required median = 1/2{(12/2)^th value + ((12/2 + 1)^th value}

= 1/2(6th value + 7th value)

= 1/2(10+15)

= 25/2

= 12.5

WBBSE Solutions Guide Class 10

Application 2. Let us find the median from the following distribution table.

 

 

Solution:

 

 

Application 3. Let us see the following frequency distribution table and let us find the median.

 

 

Solution:

 

Application 4. If the median of the following data is 28.5, and the total frequency is 100, let us find the values of x and y.

WBBSE Solutions Guide Class 10

 

Solution: