BM 1131: Business Statistics -Model Paper 1- S1 BBA Kerala University

Time:  2 Hours                                                                                               Max. Marks: 40

SECTION –A

(Answer all questions in one word or one sentence each. Each question carries 1 mark)

1.      What is mean deviation?

2.      Locate the median 17,32,35,33,15,21,41,32,11, 10,20

3.      Define combined mean

4.      Write the relationship between the three measures of central tendency

                                                                                                                        (4*1=4)

SECTION –B

(Answer any five questions in one paragraph each. Each question carries 2 marks)

5.      A candidate obtained the following percentage of marks. English 60, Hindi 75, Mathematics 63, Physics 60, Chemistry 55. Find the weighted mean if weights are 1,1,2,3,3 respectively allotted to the subjects.

6.      The mean annual salary paid to all employees of a company was Rs 5000. The mean salaries paid to male and female employees were Rs 5200 and Rs 4200 respectively. Determine the percentage of males and females employed by the company.

7.      Write the formula for finding (i) upper quartile and (ii) mode in a continuous series

8.      Explain how median is obtained graphically.

9.      What are the essential characteristics of a good average?

10.  What is harmonic mean? Write the merits of Harmonic mean

                                                                                                                        (5*2=10)

SECTION –C

(Answer any four questions in not exceeding 120 words. Each question carries 3 marks)

11.  Compare the absolute and relative measures of dispersion.

12.  A man travels 600km by train at an average speed of 60kmph, 300km by boat at an average speed of 15kmph, 700km by plane at 350kmph and 25km by a taxi at 5-kmph. Find the average speed of the whole journey.

13.  Find the missing frequency from the following data:

Marks	0-5	5-10	10-15	15-20	20-25	25-30	30-35
frequency	10	12	16	X	14	10	8

Given the mean mark is 16.82

14.  Find the third decile and 80^th percentile

Farm in acres	5-15	15-25	25-35	35-45	45-55	55-65	65-75
No: of farms	7	12	17	20	14	6	4

15.  Distinguish between simple and weighted averages. Give example of situations in which weighted average is preferable to simple average.

                                                                                                                              (4*3=12)

SECTION- D

(Answer any two questions in not exceeding four pages each. Each question carries 7 marks each)

.

16.  What is dispersion? Write about the different types of dispersion together with the merits and demerits.

17.  Calculate mean, median and mode from the following data:

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60	Less than 70	Less than 80	Less than 90	Less than 100
No: of students	4	9	15	18	26	30	38	50	54	55

18.  Calculate the mean deviation from median from the following data. Also find the coefficient of mean deviation.

class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80
frequency	18	16	15	12	10	5	2	2

                                                                                                                              (2*7=14)