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Statistics Ex 14.3 Solutions

Question - 1 : - The following frequency distribution gives the monthly consumption of an electricity of 68 consumers in a locality.

Answer - 1 : -

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

Monthly consumption(in units)

No. of customers

65-85

4

85-105

5

105-125

13

125-145

20

145-165

14

165-185

8

185-205

4



Question - 2 : - If the median of a distribution given below is 28.5 then, find the value of x & y.

Answer - 2 : -


Class Interval

Frequency

0-10

5

10-20

x

20-30

20

30-40

15

40-50

y

50-60

5

Total

60

Question - 3 : - The Life insurance agent found the following data for the distribution of ages of 100 policy holders.

Answer - 3 : -

 Calculate the median age, if policies are given only tothe persons whose age is 18 years onwards but less than the 60 years.

Age (in years)

Number of policy holder

Below 20

2

Below 25

6

Below 30

24

Below 35

45

Below 40

78

Below 45

89

Below 50

92

Below 55

98

Below 60

100

Question - 4 : - The lengths of 40 leaves in a plant are measured correctly to the nearest millimeter, and the data obtained is represented as in the following table:

Answer - 4 : -


Length (in mm)

Number of leaves

118-126

3

127-135

5

136-144

9

145-153

12

154-162

5

163-171

4

172-180

2

Find the medianlength ofleaves.  

           

Question - 5 : - The following table gives the distribution of a life time of 400 neon lamps.

Answer - 5 : -


Lifetime (in hours)

Number of lamps

1500-2000

14

2000-2500

56

2500-3000

60

3000-3500

86

3500-4000

74

4000-4500

62

4500-5000

48

Find the medianlifetime of a lamp.

Question - 6 : - In this 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in English alphabets in the surnames was obtained as follows:

Answer - 6 : -


Number of letters

1-4

4-7

7-10

10-13

13-16

16-19

Number of surnames

6

30

40

16

4

4

Determine the numberof median letters in the surnames. Find the number of mean letters in thesurnames and also, find the size of modal in the surnames.

Question - 7 : -

The distributions ofbelow give a weight of 30 students of a class. Find the median weight of astudent.

Weight(in kg)

40-45

45-50

50-55

55-60

60-65

65-70

70-75

Number of students

2

3

8

6

6

3

2

Answer - 7 : -

Weight(in kg)

40-45

45-50

50-55

55-60

60-65

65-70

70-75

Number of students

2

3

8

6

6

3

2

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