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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

Find the median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51 - Mathematics

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प्रश्न

Find the median of the given data: 36, 44, 86, 31, 37, 44, 86, 35, 60, 51

बेरीज

उत्तर

Arrange the values in ascending order we get

31, 35, 36, 37, 44, 44, 51, 60, 86, 86

The number of values = 10 which is even

Median = Average of `(10/2)^"th"` and `(10/2 + 1)^"th"` value

= Average of 5th and 6th value

= `(44 + 44)/2`

= `88/2`

= 44

∴ Median = 44

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पाठ 8: Statistics - Exercise 8.2 [पृष्ठ २८३]

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सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 8 Statistics
Exercise 8.2 | Q 2 | पृष्ठ २८३

संबंधित प्रश्‍न

Draw a histogram from the following frequency distribution and find the mode from the graph:

Class 0-5 5-10 10-15 15-20 20-25 25-30
Frequency 2 5 18 14 8 5

Find the mode of the following data:

7, 9, 8, 7, 7, 6, 8, 10, 7 and 6


For the following set of data, find the median:
10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9 and 15.


Using a graph paper, draw an ogive for the following distribution which shows a record of the width in kilograms of 200 students. 

Weight   Frequency 
40 – 45 5
45 – 50 17
50 – 55 22
55 – 60 45
60 – 65 51
65 – 70 31
70 – 75 20
75 – 80 9

Use your ogive to estimate the following:

  1. The percentage of student weighting 55 kg or more
  2. The weight above which the heaviest 30% of the student fall
  3. The number of students who are
    1. underweight
    2. overweight, If 55.70 kg is considered as standard weight.

Calculate the mean of the distribution, given below using the short cut method:

Marks 11 – 20 21 – 30 31 – 40 41 – 50 51 – 60 61 – 70 71 – 80
No. of students 2 6 10 12 9 7 4

Find the mean of the following frequency distribution : 

Class  0-10  10-20  20-30  30-40  40-50 
Frequency  4 7 6 3 5

Find the mode of the following: 

21, 22, 28, 23, 24, 21 26, 22, 29, 27, 21, 21, 26, 24, 23 


Find the mode of the following: 

3, 4, 5, 7, 6, 3, 5, 4, 3, 5, 6, 4, 7, 5, 4, 5, 4, 3, 4, 5, 7, 6, 5, 6, 6, 7 


The following observations have been arranged in ascending order. If the median of the data is 78, find the value of x.
44, 47, 63, 65, x + 13, 87, 93, 99, 110.


Find the mean and the median of: 2, 4, 5, 8, 10,13 and 14


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