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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? - Mathematics

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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?

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If number of observations is even, then the median will be the average of `(n/2)th and the (n/2+1)`th observations.
In the given case, ЁЭСЫ=10тЯ╣`(n/2)`ЁЭСбтДО=5 ЁЭСбтДО ЁЭСОЁЭСЫЁЭСС `(n/2+1)`ЁЭСбтДО=6ЁЭСбтДО ЁЭСЬЁЭСПЁЭСаЁЭСТЁЭСЯЁЭСгЁЭСОЁЭСбЁЭСЦЁЭСЬЁЭСЫ.
Thus, 63=`(x+(x+2))/2`
тЯ╣126=2ЁЭСе+2
тЯ╣ 124=2ЁЭСе
тЯ╣ ЁЭСе=62
Thus, the value of x is 62.

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рдЕрдзреНрдпрд╛рдп 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
рдЕрдзреНрдпрд╛рдп 9 Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive
Exercises 6 | Q 11

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Explain the meaning of the term Frequency.


Define cumulative frequency distribution.


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

Class 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70
Frequency 4 4 7 10 12 8 5

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

 

 


The following table gives the daily income of 50 workers of a factory:

Daily income (in Rs) 100 – 120 120 – 140 140 – 160 160 – 180 180 – 200
No. of workers 12 14 8 6 10

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


For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.


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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   Income in ( in  тВ╣)   Number of families
  0-5000   8
5000-10000  26
10000-15000 41
15000-20000 16
20000-25000  3
25000-30000 3
30000-35000   2
35000-40000      1

Calculate the modal income.


Which of the following is not a measure of central tendency?


Define primary data and secondary data.


Explain the meaning of the following terms: Class mark


Explain the meaning of the following terms: True Class Limits


Explain the meaning of the following terms: Frequency


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

Class 13.8 – 14 14 – 14.2 14.2 – 14.4 14.4 – 14.6 14.6 – 14.8 14.8 – 15.0
Frequency 2 4 5 71 48 20

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


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 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.  


Find the range of given data: 46, 35, 78, 90, 20, 56, 45, 76.


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