EASY
10th CBSE
IMPORTANT
Earn 100

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

 Assertion (A)  Reason (R)
If the median and mode of a frequency distribution are 150 and 154 respectively, then its mean is 148.

Mean, median and mode of a frequency distribution are selected as:

 mode =3 median -2 mean.

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Important Questions on Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive

EASY
10th CBSE
IMPORTANT
 Assertion (A)  Reason (R)

 Consider the following frequency distribution:

 

  Class

 interval

  3-6  6-9  9-12  12-15  15-18  18-21
 Frequency  2  5  21  23  10  12

 The mode of the above data is 12.4

 The value of the variable which occurs most often is the mode.
EASY
10th CBSE
IMPORTANT
Which one of the following measures is determined only after the construction of cumulative frequency distribution?
EASY
10th CBSE
IMPORTANT
If the mean of a data is 27 and its median is 33 then the mode is
EASY
10th CBSE
IMPORTANT

Consider the following distribution:

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

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

EASY
10th CBSE
IMPORTANT

Consider the following frequency distribution:

Class 0-5 6-11 12-17 18-23 24-29
Frequency 13 10 15 8 11

The upper limit of the median class is 

EASY
10th CBSE
IMPORTANT
If the mean and mode of a frequency distribution be 53.4 and 55.2 respectively, find the median.
EASY
10th CBSE
IMPORTANT

In the table given below, the times taken by 120 athletes to run a 100-m-hurdle race are given.

Class 13.8-14 14-14.2 14.2-14.4 14.4-14.6 14.6-14.8 14.8-15
Frequency 2 4 15 54 25 20

Find the number of athletes who completed the race in less than 14.6 seconds.

EASY
10th CBSE
IMPORTANT

The annual profits earned by 30 shops of a shopping complex in a locality are recorded in the table shown below:

Profit (in Lakhs Rs.) Number of Shops
More than or equal to 5 30
More than or equal to 10 28
More than or equal to 15 16
More than or equal to 20 14
More than or equal to 25 10
More than or equal to 30 7
More than or equal to 35 3

If we draw the frequency distribution table for the above data, find the frequency corresponding to the class 20-25