2018 Elements of statistics

Mahatma Gandhi Kashi Vidyapeeth
BCA(3rd semester)
ELEMENTS OF STATISTICS
2018

MM:75                                              Timing:3hrs

Attempt any five questions                       Each ques carry 15 marks.

Note : The answers to short questions                        should not exceed 200 words and the              answers to long questions should                    not exceed 500 words.



Q1- (a) Define statistics and discuss its scope. 6

(b) Differentiate between attribute and variable with suitable example. 4

(c) Define classification and the basis of classification and also describe its uses. 5



Q2- (a) Define measures of central tendency and also discuss their uses. 4

(b) The mean of ten observation was 20.If each value is multiplied by 5, then find the mean of the new observations. 3

(c) Find the geometric mean of 16 and 9. 3

(d) Define Harmonic mean with suitable examples.  2



Q3- (a) Discuss dispersion with its relative measures and uses.    5

(b) Discuss the requirement of a good measure of dispersion.  2

(c) Define variance and standard deviation. 2

(d) Calculate the variance and standard deviation of the height of ten men given below : 6
160,160,161,162,163,163,163,164,164,170. 10



Q4- (a) Discuss Deterministic and non-deterministic experiment. 4

(b) Explain sample space, event, mutually exclusive event, complementary event and exhaustive event. 5

(c) Represent through three diagram the sample space generated by experiment of tossing a win thrice. 3

(d) Differentiate between union and intersections of two events with suitable example. 3



Q5- (a) A fair coin is tossed twice. what is the probability of obtaining exactly one tail and Zero tail. 6

(b) Define conditional probability with example . 3

(c) Find the values of 6Pr and 5C2. 6



Q6- (a) Define control limits and establish 3 - sigma control limits. 5

(b) Discuss stepwise calculation of control limits for chart  7

(c) Explain control chart for attributes. 3



Q7- Attempt any three of the following :
(a) Explain the application of C - chart. 3

(b) Distinguish between specification and tolerance limits. 3

(c) Three cards are drawn at random form a pack find the chance that they are an ace,  a king and a queen. 3

(d) Discuss frequency distribution. 3

(e) Cumulative frequency and process of drawing an ogive. 3


ALL THE BEST
😊😊😊😊😊


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