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Topic Question Set

Q 1 :    

The sum of the lower limit of median class and the upper limit of the modal class of the following data is: 

Marks  0 – 10  10 – 20  20 – 30  30 – 40  40 – 50  50 – 60
No. of students     8      10      12      22      30      18

 

  • 70

     

  • 80

     

  • 90

     

  • 100

     

(2)      80

 

Q 2 :    

For the following distribution:

Class 0-5 5-10 10-15 15-20 20-25
Frequency 10 15 12 20 9

 

the sum of lower limits of the median class and modal class is

  • 15

     

  • 25

     

  • 30

     

  • 35

     

(2)

Class Frequency (f) c.f.
0 - 5 10 10
5 - 10 15 25
10 - 15 12 37
15 - 20 20 57
20 - 25 9 66
  N = 66  

Since, N=66, then N2=33

and cumulative frequency greater than or equal to 33 lies in class 10 – 15
So, median class is 10 – 15

∴ Lower limit of median class is 10

and highest frequency is 20 lie in class 15 – 20
So, modal class is 15 – 20.

∴ Lower limit of modal class is 15.

Hence, sum of lower limits of the median and modal class is 10 + 15 = 25.

Q 3 :    

If the difference of Mode and Median of a data is 24, then the difference of median and mean is

  • 8

     

  • 12

     

  • 24

     

  • 36

     

(2)

mode – median = 24 (given)

∴ mode = 24 + median

Since, mode = 3 median – 2 mean [By empirical relation]

∴ 24 + median = 3 median – 2 mean

⇒ 2 median – 2 mean = 24

⇒ median – mean = 12

Q 4 :    

The middle most observation of every data arranged in order is called

  • mode

     

  • median

     

  • mean

     

  • deviation

     

(2)

The middle most observation, after arranging all observations in ascending or descending order is called the median.

 

Q 5 :    

For some data x1,x2,…,xn with respective frequencies f1,f2,…,fn, the value of ∑1nfi(xi-x¯) is equal to:

  • nx¯

     

  • 1

     

  • ∑fi

     

  • 0

     

(4)     0

 

 

Q 6 :    

After an examination, a teacher wants to know the marks obtained by maximum number of the students in her class. She requires to calculate ................. of marks.

  • median

     

  • mode

     

  • mean

     

  • range

     

(2)

Mode = The Most Common or (Maximum). Number that appears in your set of data.

 

Q 7 :    

If value of each observation in a data is increased by 2, then median of the new data

  • increases by 2

     

  • increases by 2n

     

  • remains same

     

  • decreases by 2

     

(1)

When value of each observation in data is increased by 2.

So, median of data is Increases by 2