Question

Compare P21 and D9 for the following data 58,47,60,55,50,53,57,58,60,61,62,58,57,65

Answer 1

Step-by-step explanation:

The cumulative frequency of the table is a given below:

Weekly

income ( in Rs.) No. of workers Cumulative

frequency

58 2 2

59 3 5

60 6 11

61 15 26

62 10 36

63 5 41

64 4 45

65 3 48

66 1 49

N = 49

Lower Quartile:

We have

4

N

=

4

49

=12.25

The cumulative frequency just greater than

4

N

is 26 and the corresponding value of the variable is 61

∴Q

1

=Rs. 61

Middle Quartile (median):

We have

2

N

=

2

49

=24.5

The cumulative frequency just greater than

2

N

is 26 and the corresponding value of the variable is 61

∴Q

2

=Rs. 61

Upper Quartile:

We have

4

3N

=

4

3×49

=36.75

The cumulative frequency just greater than

4

3N

is 41 and the corresponding value of the variable is 63

∴Q

3

=Rs. 63

∴

2

Q

1

+Q

3

=

2

61+63

=62