Q.1

Find the quartile deviation, co-efficient of quartile deviation, mean-deviation of

mean and median also find co-efficient of mean-deviation for mean and median.

Groups

2-4

4-6

6-8

8-10

10-12 12-14 14-16 16-18 18-20

Frequency 18

24

47

80

102

66

40

21

15

Hence draw a cumulative frequency graph and use this to find the median and

semi-interquartile range.

Q.2

(a)

Calculate the variance and standard deviation by two methods from the following

data, also find co-efficient of variation and Co-efficient of standard deviation and

Variance.

Daily

wages( Rs. )

4-6

6-8

8-10

10-12

12-14

14-16

No. of

employees

13

111

182

105

19

7

(b)

Find co-efficient of skewness and The Pearsonian co-efficient of skewness.

Q.3

Draw a Histogram and an Ogive from the following data.

Value

0-5

5-10

10-15

15-20

20-25

25-30

30-35

35-40

Frequency 2

5

7

13

21

16

8

3

Find approximate value of the median, Quartiles (Q1,Q3,Q5 ), Deciles (D1,D7,D9 )

and Percentiles (P15,P75,P90 ) from the Ogive and check your answer by calculation Q.4

Find the geometric mean and the harmonic mean of the following frequency

distribution. Find MEAN, Median and Mode also find empirical relation between

mean, median and mode.

Groups

2-4

4-6

6-8

8-10

10-12 12-14 14-16 16-18 18-20

Frequency 18

24

47

80

102

66

40

21

15

Q.5

For the following data 32, 24, 45, 71, 21, 65, 33, 87

(a)

Find the geometric mean and the harmonic mean of the following frequency

distribution. Find MEAN, Median and Mode also find empirical relation between

mean, median and mode.

(b)

Find the quartile deviation, co-efficient of quartile deviation, mean-deviation of

mean and median also find co-efficient of mean-deviation for mean and median.

(c)

Calculate the variance and standard deviation by two methods from the following

data, also find co-efficient of variation and Co-efficient of standard deviation and variance