Sunday, 16 June 2019

CENTRAL TENDENCY ( MEDIAN)

                  MEDIAN

                     ******

A) Find the median of following:

1) 37,31,42,43,46,25,39,43,32.

2) 31,38,27,28,39,35,49.

3) 83,37,70,29,45,63,41,70,30,54.

4) 79,82,36,38,51,72,68,70,64,63.

5) Median of 7,2,5,9,6

6) 50,53,61,49,45,63,48

7)10,75,3,81,18,27,4,48,12,47,9,15

8) Find median of the  first 9 consecutive natural numbers.

9) The median of the first 49 natural numbers is…

10) Median 8,3,11,7,12,6,9.

11) Median of 33,86,68,32,80,48,7

12) 31,35,27,29,32,43,37,41, 34,28,36,44,45,42,30

13) 3,1,5,6,3,4,5,3,7,2

14) 11,12, 14,18, x+2, x+4, 30, 32,
       35,41 arranged in ascending
      order is 24, find x.

15) If the weights of 10 students
(in kg) arranged in a ascending order are: 53,47,34,36,x -5, x+ 5, 54,37,44,32 with median 45 kg find value of x.

16) Find the median of the following data: 41,43,127,99,61, 92,71,58,57. If 58 is replaced by 85, what will be the new median.

B) Find the median

1) X:  3  6  10  12  7   15
     F:  3  4    2    8  13  19

2)   X: 5  7  9  12  14  17  19  21
       F:  6 5  3   6     5    3    2    4

3) S. No.  Mar(Eng). Marks(math)
       1              53              55
       2              54              41
       3              32              48
       4              30              49
       5              60              27
       6              46              24
       7              28              23
       8              25              20
       9              48              28
      10             72              60
      11             33              43
      12             65              66
Indicate in which subject the level of achievement is higher ?

4) X: 4  4.5  5  5.5  6  6.5  7 7.5  8
     Y:10 18  22 25  40 15 10 8    7

5) X:  8  5   6   10   9   4    7
     Y:  6  4   5    8    9   6    4.    

6) Mid values.       frequency   
         115                      6
         125                     25
         135                     48
         145                     72
         155                    116
         165                      60
         175                      38
         185                      22
         195                       3

C) Find median of the following:

1)X: 0-10 10-20 20-30 30-40 40-50
    F:   5        7        10       10       8

2) 
X: 1-10 11-20 21-30 31-40 41-50
F:    3        5        8          6         3

3) Marks     Number of students 
      15-20              4
      20-25              5
      25-30              1
      30-35              6
      35-40              5
      40-45              8
      45-50              9
      50-55              6
      55-60              4
      60-65              2

4) Age(in yrs.)           Class
       5-14                      447   
     15-24                      307
      25-34                     279   
      35-44                     220
      45-54                     157
      55-64                      91
      65-74                      39

5) Age(years).    No of persons
      Below 10                2
      Below 20                5
      Below 30                9
      Below 40              12
      Below 50              14
      Below 60              15
      Below 70            15.5
70 and above          15.6

6)Mark more than  No of students
        0                                 50     
       10                                46
       20                                40
       30                                20
       40                                10
       50                                  3

7) Find the missing Numbers

  C .I         Frequency
300-325         5    median is 413.11
325-350       17
350-375       80
375-400.        ?
400-425       326
425-450.        ?
450-475        88
475-500         9
Total           10008

8) Find missing Numbers if

       N=100 and median is 30

Marks       frequency
0-10              10
10-20.            ?
20-30            25
30-40            30
40-50.            ?
50-60            19





 

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