BUSINESS MATHEMATICS,LOGICAL REASONING AND STATISTICS CA FOUND

NATIONAL MANAGEMENT COLLEGE, THUDUPATHI

BUSINESS MATHEMATICS, LOGICAL REASONING AND STATISTIC

PRACTICE PROBLEMS

  1. Given the following data:
CitiesABCDEF
Density200500400700600300
Death rate101614201713

 

Find the coefficient of correlation between density and death rate.

  1.   For a Private data:  {(x,y): (15,3),(11,3),(12,2),(14,0),(8,6)}.  Find the coefficient of correlation between x and y.
  2.   What is the value of correlation coefficient due to person on the basis of the following data:
X-5-4-3-2-1012345
Y27181163236111827

 

  1. Calculate Karl Pearson’s coefficient of correlation from the following data:
Values of X100110115116120125130135
Values of Y1818171616151310

 

  1.  From the following data compute the coefficient of correlation between X and Y:
X – SeriesY – Series
Arithmetic Mean1528
Sum of Squares of deviations from mean144225

 

6) For the distribution of the number of marks obtained by 49 students in a class. Calculate the mean, median and mode.

Class5-1010-1515-2020-2525-3030-3535-4040-45
Frequency5615106331

 

7) Calculate Q3, D4, P30 from the following data:

Marks2025303540
No.of students514201110

8) Find the A.M.G and H.M and prove that A.M ≥ G,M ≥ H.M

X24816
F2332

 

9) (i) If the absolute deviations of 5 observations from mean be 26, 15,39,24,41 Find the mean deviation about mean.

(ii) The first three quartiles of a distribution are Rs. 12, Rs.22, Rs.45; Find the Quartiles Deviation.

10)  (i) If the standard deviation of x is, what is the variance of (5 – 2x)?

(ii) There are 5 bags of wheat weighting on an average 102kgs and another 8 bags weighting 98kgs on an Average. What is combined mean of 13 bags?

11) (i) What is the coefficient of range for the following wages of 8 workers? Rs.80, Rs.65, Rs.90, Rs.60, Rs. 75, Rs. 70, Rs. 72, Rs.85.

(ii) Calculate S.D for first 10 natural numbers.

12) (i) Calculate M.D and Q.D if S.D = 60

(ii) Calculate S.D and Q.D if M.D = 60.                                                                                                                                  (ii) Calculate S.D and M.D if Q.D = 60; if the series are moderately asymmetrical.

 

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