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Common Difference

Make a scatte...

Question

Make a scattered diagram of the data given below. Does any relationship exist between the two?

X 4 5 6 7 8 9 10 11 12 13 14 15

Y 78 72 66 60 54 48 42 36 30 24 18 12

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Solution

Yes, there exists perfect negative correlation (–1) between X and Y.

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Q. Make a scatter diagram from the following data and interpret the result.

X	4	5	6	7	8	9	10	11	12
Y	78	72	66	60	54	48	42	36	30

Q. Given the following pair of values of the variables X and Y:

X	8	10	12	11	9	7	13	14	15
Y	5	7	9	8	6	4	10	11	12

Also describe relationship between X and Y.

Q. Show the relationship between X and Y through a scattered diagram.

X	8	16	24	31	42	50
Y	70	58	50	32	26	12

Q. The following table shows the frequency distribution of milk(in litres) produced per week by 50 cows.

Milk(in litres)	24-30	30-36	36-42	42-48	48-54	54-60	60-66	66-72	72-78	78-84	84-90
No. of cows	1	3	8	5	5	5	8	4	6	2	3

Using the shift of origin method, find the average (mean) amount of milk produced by the cows.

Q. Find the arithmetic mean of each of the following frequency distributions using step-deviation method:

Age (in years)	18-24	24-30	30-36	36-42	42-48	48-54
Number of workers	6	8	12	8	4	2

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