Statistics Applications Applied Maths - Statistics Applications

The unit of correlation coefficient between height in feet and weight in kgs is

The rank of 1 ^th quartile is

What percentile in 74 in is the following group of data (must be in order) ?
35, 65, 68, 100, 23, 69, 74, 61, 70, 98, 85, 55.

If I tell you that you scored at the 55^th percentile on your final exam, you would know :

List some variables where accurate measurement is difficult.

In the given data set: 1, 2, 3, 4, 5; how many numbers are even or find the percentile ranking of even numbers?

There are 5 students who go for medical checkup in a medical camp organized by a NGO. The medical score of the students are 5, 9, 4, 12, and 7. Identify the percentile rank for score 9.

Can r lie outside the -1 and +1 range depending on the type of data ?

For a group of 8 students, the sum of squares of differences in the ranks for mathematics and statistics marks was found to be 50. what is the value of rank correlation coefficient ?

While computing rank correlation coefficient between profits and investment for 10 years of a firm, the difference in rank for a year was taken as 7 instead of 5 by mistake and the value of rank correlation coefficient was computed as 0.80. What would be the correct value of rank correlation coefficient after rectifying the mistake ?

For a number of towns, the coefficient of rank correlation between the people living below the poverty line and increase of population is 0.50. If the sum of squares of the differences in rank awarded to these factors is 82.50, find the number of towns.

Ten competitors in a beauty contest are ranked by three judges of the following order:

1st judge	1	5	4	8	9	6	10	7	3	2
2nd judge	4	8	7	6	5	9	10	3	2	1
3rd judge	6	7	8	1	5	10	9	2	3	4

Use Spearman's rank correlation coefficient to test which pair of judges has nearest approach to common tasks in beauty.

Find spearman's coefficient of rank correlation between marks obtained in History and Geography.

Student	A	B	C	D	E	F	G	H	I	J
History	30	20	40	50	30	20	30	50	10	0
G ugraphy	15	40	40	45	20	30	15	50	20	10

If r xy =0, the variables x and y are ____________

The range of simple correlation coefficient is...

For 333, 999, 888, 777, 666, 555, 444; rank of 1^th quartile is ____________

Rank of k^th percentile is.....

Compute Cov(x, y) for the following pair of observations:
(15, 44), (20, 43), (25, 45), (30, 37), (40, 34), (50, 37)

For the given set of data, calculate the percentile rank and quartile rank for observation 6.
5, 6, 6, 9, 11, 13, 15, 18, 20