## Tuesday, July 16, 2013

### 10th Math's Chapter 14 -Statistics CBSE Board Questions from 2013

Set-01
1. The class mark of the class 10 – 25 is :  (A) 17 (B) 18 (C) 17.5 (D) 15
2. Find the mean of the following frequency distribution [by assumed mean method]
 Class : 0 – 6 6 – 12 12 – 18 18 – 24 24 – 30 Frequency : 7 5 10 12 6
3. Find the mode of the following frequency distribution
 Class : 0 – 6 6 – 12 12 – 18 18 – 24 24 – 30 Frequency : 7 5 10 12 6
4. If the mean of the following distribution is 27, find the value of p
 Class : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Frequency : 8 p 12 13 10
5. Find mean, and median for the following data :
 Class : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 Frequency : 8 16 36 34 6
6.  Draw ‘less than’ and ‘more than’ ogives for the following distribution:
 Scores : 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 Frequency : 8 10 14 12 4 2
7.  Find the value of f1 from the following data if its mode is 65:
 Class 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100 100 – 120 Frequency 6 8 f1 12 6 5
Set-02
1. If the „less than‟ type ogive and „more than‟ type ogive intersect each other at (20.5, 15.5), then the median of the given data is : (A) 36.0 (B) 20.5 (C) 15.5 (D) 5.5           [01]
2.  Find the sum of lower limit of mediun class and the upper limit of model class :[02]
 Classes : 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 Frequency : 1 3 5 9 7 3
3.  Convert the following data into more than type distribution :[02]
 Class : 50 – 55 55 – 60 60 – 65 65 – 70 70 – 75 75 – 80 Frequency : 2 8 12 24 38 16
4. Draw the less than type ogive for the following data and hence find the median from it.[03]
 Classes : 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100 Frequency : 6 5 9 12 6
5. The median of the following frequency distribution is 28.5 and the sum of all the frequencies is 60. Find the values of „p‟ and „q‟ : [03]
 Classes : 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 Frequency : 5 p 20 15 q 5
6. Calculate the average daily income (in `) of the following data about men working in a company :[05]
 Daily income (in `) < 100 < 200 < 300 < 400 < 500 Number of men 12 28 34 41 50

7. The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean n umber of wickets by choosing a suitable method. What does the mean signify? [Hint: Here, the class size varies, and the x , s are large. Let us still apply the stepdeviation method with a = 200 and h = 20]
 Number of wickets 20 - 60 60 - 100 100 - 150 150 – 250 250 – 350 350 - 450 Number of bowlers 7 5 16 12 2 3