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In a Class Test, 50 Students Obtained Marks as Follows: in a Class Test, 50 Students Obtained Marks as Follows: - Mathematics

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In a class test, 50 students obtained marks as follows:

Marks obtained 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100
Number of Students 4 6 25 10 5

In a class test, 50 students obtained marks as follows:

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Here the maximum class frequency is 25, and the class corresponding to this frequency is 40-60.
So, the modal class is 40-60.
Now, to find the median class let us put the data in the table given below:

Marks Obtained Number of students `(f_i)` Cumulative frequency (cf)
0-20 4 4
20-40 6 10
40-60 25 35
60-80 10 45
80-100 5 50
Total `N=Σf_i=50`  

Now, ЁЭСБ=50 тЯ╣`N/2=25.`
The cumulative frequency just greater than 25 is 35, and the corresponding class is 40-60.
Thus, the median class is 40-60.

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

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рдЖрд░ рдПрд╕ рдЕрдЧреНрд░рд╡рд╛рд▓ Mathematics [English] Class 10
рдкрд╛рда 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 6 | Q 6

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Which of the two – the primary or the secondary data – is more reliable and why?


Explain the meaning of the term Class-integral.


Explain the meaning of the term Class-size.


Explain the meaning of the term Class-mark.


Explain the meaning of the term Frequency.


Define cumulative frequency distribution.


Find the mean, median and mode of the following data:

Marks obtained 25 - 35 35 – 45 45 – 55 55 – 65 65 – 75 75 - 85
No. of students 7 31 33 17 11 1

 

 


A survey regarding the heights (in cm) of 50 girls of a class was conducted and the following data was obtained:

Height in
cm
120 – 130 130 – 140 140 – 150 150 – 160 160 – 170
No. of
girls
2 8 12 20 8

Find the mean, median and mode of the above data.


The observation 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?


The median of 19 observations is 30. Two more observation are made and the values of these are 8 and 32. Find the median of the 21 observations taken together.
Hint Since 8 is less than 30 and 32 is more than 30, so the value of median (middle value) remains unchanged.


In the following data, find the values of p and q. Also, find the median class and modal class.

Class Frequency (f) Cumulative frequency (cf)
100 – 200 11 11
200 – 300 12 p
300 – 400 10 33
400- 500 Q 46
500 – 600 20 66
600 – 700 14 80

Explain the meaning of the following terms: True Class Limits


The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:

Class Frequency
13.8 - 14 3
14 - 14.2 4
14.2 - 14.4 6
14.4 - 14.6 69
14.6 - 14.8 48
14.8 - 15.0 20

The number of athletes who completed the race in less than 14.6 seconds is?


Can the experimental probability of an event be a negative number? If not, why?


Can the experimental probability of an event be greater than 1? Justify your answer.


As the number of tosses of a coin increases, the ratio of the number of heads to the total number of tosses will be `1/2`. Is it correct? If not, write the correct one.  


The monthly pocket money of ten friends is given below:

тВ╣ 80, тВ╣ 65, тВ╣ 35, тВ╣ 65, тВ╣ 50, тВ╣ 30, тВ╣ 60, тВ╣ 35, тВ╣ 65, тВ╣ 30

What is the lowest pocket money?


The time, in seconds, taken by 150 athletes to run a 100 m hurdle race are tabulated below:

Time (sec.) 13 – 14 14 – 15 15 – 16 16 – 17 17 – 18 18 – 19
Number of Athletes 2 4 5 71 48 20

The number of athletes who completed the race in less than 17 seconds is:


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