मराठी

The Monthly Pocket Money of 50 Students of a Class Are Given in the Following Distribution,Find the Modal Class and Give Class Mark of the Modal Class. - Mathematics

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प्रश्न

The monthly pocket money of 50 students of a class are given in the following distribution

Monthly pocket money (in Rs) 0 - 50 50 – 100 100 – 150 150 -200 200 – 250 250 - 300
Number of Students 2 7 8 30 12 1

Find the modal class and give class mark of the modal class.

उत्तर

Here the maximum class frequency is 30, and the class corresponding to the frequency is 150-200. So, the modal class is 150-200.

Also, class mark of the modal class is `(150+200)/2=175.`

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पाठ 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive - Exercises 6

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 6 | Q 3

संबंधित प्रश्‍न

During the medical check-up of 35 students of a class, their weights were recorded as follows:

Weight (in kg Number of students
Less than 38 0
Less than 40 3
Less than 42 5
Less than 44 9
Less than 46 14
Less than 48 28
Less than 50 32
Less than 52 35

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph verify the result by using the formula.


What is the lower limit of the modal class of the following frequency distribution?

Age (in years) 0 - 10 10- 20 20 -30 30 – 40 40 –50 50 – 60
Number of patients 16 13 6 11 27 18

The following table, construct the frequency distribution of the percentage of marks obtained by 2300 students in a competitive examination.

Marks obtained (in percent) 11 – 20 21 – 30 31 – 40 41 – 50 51 – 60 61 – 70 71 – 80
Number of Students 141 221 439 529 495 322  153

(a) Convert the given frequency distribution into the continuous form.
(b) Find the median class and write its class mark.
(c) Find the modal class and write its cumulative frequency.


In the formula  `barx=a+h((sumf_iu_i)/(sumf_i))`, for finding the mean of grouped frequency distribution ui = ______.


Find the mode of the following frequency distribution.

Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 8 10 10 16 12 6 7

The marks obtained by 100 students of a class in an examination are given below.

Mark No. of Student
0 - 5 2
5 - 10 5
10 - 15 6
15 - 20 8
20 - 25 10
25 - 30 25
30 - 35 20
35 - 40 18
40 - 45 4
45 - 50 2

Draw 'a less than' type cumulative frequency curves (ogive). Hence find the median.


Change the following distribution to a 'more than type' distribution. Hence draw the 'more than type' ogive for this distribution.

Class interval: 20−30 30−40 40−50 50−60 60−70 70−80 80−90
Frequency: 10 8 12 24 6 25 15

For one term, absentee record of students is given below. If mean is 15.5, then the missing frequencies x and y are.

Number of days 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 TOTAL
Total Number of students 15 16 x 8 y 8 6 4 70

For the following distribution:

C.I. 0 - 5 6 - 11 12 - 17 18 - 23 24 - 29
f   13 10 15 8 11

the upper limit of the median class is?


Consider the following distribution:

Marks obtained Number of students
More than or equal to 0 63
More than or equal to 10 58
More than or equal to 20 55
More than or equal to 30 51
More than or equal to 40 48
More than or equal to 50 42

The frequency of the class 30 – 40 is:


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