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

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

संबंधित प्रश्न

The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop: 0 - 50 50 - 100 100 - 150 150 - 200 200 - 250 250 - 300
No. of shops: 12 18 27 20 17 6

Draw the frequency polygon for it.


Draw a ‘more than’ ogive for the data given below which gives the marks of 100 students.

Marks 0 – 10 10 – 20 20 – 30 30 - 40 40 – 50 50 – 60 60 – 70 70 – 80
No of Students 4 6 10 10 25 22 18 5

 


The heights of 50 girls of Class X of a school are recorded as follows:

Height (in cm) 135 - 140 140 – 145 145 – 150 150 – 155 155 – 160 160 – 165
No of Students 5 8 9 12 14 2

Draw a ‘more than type’ ogive for the above data.


From the following data, draw the two types of cumulative frequency curves and determine the median:

Marks Frequency
140 – 144 3
144 – 148 9
148 – 152 24
152 – 156 31
156 – 160 42
160 – 164 64
164 – 168 75
168 – 172 82
172 – 176 86
176 – 180 34

 

 


The median of the distribution given below is 14.4 . Find the values of x and y , if the total frequency is 20.

Class interval : 0-6 6-12 12-18 18-24  24-30
Frequency : 4 5 y 1

The median of a given frequency distribution is found graphically with the help of


Consider the following frequency distributions

Class 65 - 85 85 - 105 105 - 125 125 - 145 145 - 165 165 - 185 185-205
Frequency 4 5 13 20 14 7 4

The difference of the upper limit of the median class and the lower limit of the modal class is?


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.


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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