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CBSE Guess > eBooks > Class X > Statistics By Vijay Chawala

Statistics

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  1. The median of a data can graphically be found from

(i) an ogive,    

(ii) a histogram,          

(iii) a frequency curve,           

(iv) a bar graph.

  1. The relationship among the three measures of central tendency i.e., median, mode and mean can be represented as

  1. The median of a data is 5. The mean of the same data is 7. Find the mode of the data.
  2. What is the median of a dataset whose mean and mode are 36 and 18 respectively?
  3. The following table shows frequency distributions of a few observations. The mode of the observations is 42. The missing frequency p is not the greatest frequency. Find the value of p?

Class interval

Frequency

  10 – 19

9

  20 – 29

8

  30 – 39

12

  40 – 49

16

  50 – 59

p

  60 – 69

11

  70 – 79

15

  1. The following table lists the frequency distribution of 30 observations. The mean of the data is 48. The value of [f1 − f2] is

       Class interval  0 − 20                  20 − 40          40 – 60           60 – 80               80 – 100

         Frequency (fi)     8                        f1                      6                       4                      f2

  1. The following frequency distribution table shows the class marks of continuous class Intervals of 40 observations. What is the median of the given dataset?

     Class mark

Frequency

            10

5

            30

7

            50

6

            70

9

            90

6

           110

7

  1. The following data represents a frequency distribution of 90 observations whose median is 125. What is the median of the given data set?

  Height (in cm)

Number of children in locality

  More than 100

90

  More than 110

 81

  More than 120

 76

  More than 130

 68

  More than 140

 60

  More than 150

 48

  More than 160

 33

  More than 170

 20

  More than 180

3

  1. What is the median of the given data set? What are the respective values of x and y?

Score

Frequency

Less than 30
Less than 60
Less than 90
Less than 120
Less than 150
Less than 180
Less than 210

7
15
27
27 + x
36 + x
36 + x + y
46 + x + y

   Total

65

  1. The following data lists the ranges of marks obtained (out of 100) by 60 students of a class. What are the marks scored by more than half of the students?

   Marks

Number of students

    0 – 10

2

  10 – 20

1

  20 – 30

3

  30 – 40

5

  40 – 50

7

  50 – 60

11

  60 – 70

10

  70 – 80

 9

  80 – 90

 5

  90 – 100

7

  1. The given frequency distribution table lists the weights of students of two different Grades What is the difference between the modal weights of class IX and X?

Weight(kg)

Number of students in classIX

Number of students in classX

40 – 45
45 – 50
50 – 55
55 – 60
60 – 65
65 – 70

     10
     12
      8
     11
     10
      6

          12
          10
           5
          14
          11
           6                                

Prepared By:
Mr. Vijay Chawla
Email [email protected]
9899114400

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