BCOC-134 BUSINESS MATHEMATICS AND STATISTICS in English Solved Assignment 2023-2024

BCOC-134 BUSINESS MATHEMATICS AND STATISTICS Solved Assignment 2023-2024

TUTOR MARKED ASSIGNMENT
COURSE CODE : BCOC – 134
COURSE TITLE : BUSINESS MATHEMATICS AND STATISTICS
ASSIGNMENT CODE : BCOC – 134/TMA/2023-24
COVERAGE : ALL BLOCKS
Maximum Marks: 100

Note: Attempt all the questions.

Section – A

Q.1 A dataset representing the monthly sales (in thousands of dollars) for a small business over the past 12 months: 20,22,18,25,21,23,19,24,20,22,26,21 Calculate the range, variance, and standard deviation for the given dataset of

monthly sales. Interpret the results in the context of the business’s sales

variability.

Q.2 Given the following national income model Y=C+I C=5+Y 1-10 Find Y and C.

Q.3 Discuss the various functions related to business and economics.

Q.4 What do you mean by maxima or minima of a function? State the meaning of absolute minimum of a function. Explain the steps for finding maxima and minima of a function.

Q.5 The manager of a departmental store compiled information on 200 accounts receivable which were delinquent. For each account he has noted the number of days passed after the due date. He then grouped the data as shown in the following frequency distribution. Determine the median using two methods.

Section – B
Q. 6 A manufacturer earns Rs. 5500 in the first month and Rs. 7000 in the second
month. On plotting these points, the manufacturer observes a linear function
may fit the data.
i. Find the quadratic function that fits the data.
ii. Using the model make a prediction of the earning for the fourth week.
(6)
Q. 7 You are given the profit function of a business activity and asked to offer your
suggestion on the rate of change of profit. What would you do?
(6)
Q. 8 Bank pays compound interest at the rate of 5% p.a. XYZ deposited a principal
amount of RS. 5,000 in bank for 4 years. Find the interest that XYZ will receive.
(6)
Q. 9 Explain the difference between Karl Pearson’s correlation co-efficient and
spearsman’s rank correlations co-efficient. Under what situations, in the latter
preferred to the former?
(6)
Q.10 Explain briefly the additive and multiplicative models of time series. Which of
these models is more commonly used and why?
(6)
Section – C
Q.11 Write short notes on the following:
(a) Factorization
(b) Harmonic Mean
(5×2)
Q.12 Differentiate between the following:
(a) Descriptive and Inferential statistics
(b) Absolute measures and relative measures of dispersion

BCOC-134, BCOC 134, BOC134