Description

SESSION JULY-AUGUST 2024
PROGRAM MASTER OF BUSINESS ADMINISTRATION
(MBA)
SEMESTER 1
COURSE CODE & NAME DMBA109 STATISTICS FOR MANAGEMENT

Assignment Set – 1

1. What are the functions and limitations of Statistics?
Ans 1.
Functions of Statistics
Statistics is a branch of mathematics that involves the collection, organization, analysis,
interpretation, and presentation of data. Its primary functions include:
Data Collection: Statistics provides systematic methods for gathering data from diverse
sources, ensuring accuracy and reliability. Tools like surveys, experiments, and observational
studies help collect meaningful data.
Data Organization and Presentation: Collected data is often vast and complex. Statistics
organizes it into manageable forms, such as tables, charts, and graphs, making it easier to
Its Half solved only
Buy Complete assignment from us
Price – 190/ assignment
MUJ Manipal University Complete
SolvedAssignments session JULY-AUG 2024
buy cheap assignment help online from us easily
we are here to help you with the best and cheap help
Contact No – 8791514139 (WhatsApp)
OR
Mail us- [email protected]
Our website – www.assignmentsupport.in
2. A clerk calculated arithmetic mean of 50 values as 39.2. However, it was found that
instead of taking two values as 25 and 32, he took them as 52 and 23. Find the corrected
arithmetic mean.
Ans 2.
Correcting the Arithmetic Mean
The arithmetic mean of 50 values was calculated as 39.2, but two incorrect values (52 and 23)
were used instead of the correct values (25 and 32). We need to find the corrected mean.
Steps to Calculate the Corrected Mean:
1 Calculate the Total Using the Incorrect Mean:
Total = Mean × Number of Values
Substituting the given values:
Total = 39.2 × 50 = 1960
2 Correct the Total: The incorrect total includes the wrong values 52 and 23. To correct it,
3. Define Following Terms:
• Mutually exclusive Events
• Independent Events
Ans 3.
1. Mutually Exclusive Events
Mutually exclusive events are events that cannot occur simultaneously. In probability theory,
if two events are mutually exclusive, the occurrence of one event excludes the possibility of
the other event happening.
Key Characteristics:
 If A and B are mutually exclusive events, then:
P(A ∩ B) = 0
This means the probability of both events occurring together is zero.
 The events have no common outcomes in a sample space.
Assignment Set – 2
4. The data given below depicts the sales statistics of six sales representatives in two
different localities. Find whether there is a relationship between the buying habits of the
people in the localities.
Representative 1 2 3 4 5 6
Locality I 70 40 65 110 60 20
Locality II 70 30 80 100 90 20
Ans 4.
Analysis of Relationship Between Buying Habits in Two Localities
The given data represents the sales statistics of six sales representatives in two different
localities. To determine the relationship between buying habits in Locality I and Locality II,
we calculate the Pearson Correlation Coefficient.
Data Table
Representative Locality I (X) Locality II (Y) X ⋅ Y X2 Y2
1 70 70 4900 4900 4900
2 40 30 1200 1600 900
3 65 80 5200 4225 6400
4 110 100 11000 12100 10000
5. Discuss the concept, objectives and assumptions of ANNOVA
Ans 5.
Concept of ANOVA
Analysis of Variance (ANOVA) is a statistical method used to compare the means of three or
more groups to determine if there are significant differences among them. It tests whether the
variation among group means is greater than what would be expected by chance. Developed
by Ronald Fisher, ANOVA extends the ttt-test for comparing two means to more than two
groups, making it a critical tool in hypothesis testing when analyzing complex datasets.
ANOVA uses the F-test to evaluate the null hypothesis that all group means are equal. If the
6. What are the components of time series? Bring out the significance of moving average
in analysing a time series and point out its limitations.
Ans 6.
Components of Time Series
Time series analysis examines data points collected over time to identify patterns, trends, and
seasonality. The four main components are:
 Trend: This represents the long-term movement or direction of data over time, which
could be upward, downward, or stable. For example, sales revenue may show a
consistent increase over several years due to business growth.
 Seasonality: This is a repeating pattern at regular intervals, often due to factors like
weather, holidays, or customs. For instance, ice cream sales increase in summer and