BITH382 - Research Methods On Mean and Standard Deviation Assignment

Assignment Task

1. Explain the following as statistical measures

• standard deviation
• range
• mean
• median
• mea 

The marks above represent examination marks for a group of Software Engineering students at ZOU. Represent the data in a Histogram and comment on the shape of the distribution. 

(ii) Cartoons of cartridge are advertised and a random sample of 100 cartoons gave the following data.

∑ x =101.4

∑ x ² =102.83

Calculate the mean and standard deviation

2. A random variable has a Binomial probability distribution with parameters n and p The mean value is 3 and the variance is 1.2, find the values of n and p and find the value of P(X < 4>

(b) Calculate the equation of the regression line of y on x for the following distribution:

Is it possible to calculate from the equation you have just found from (b) above an estimate for the value of x when y=54? (ii) an estimate for the value of y when x=37? In each case, if the answer is “YES”, calculate the estimate. If the answer is “NO”, say why not

3. From the Soccer League of the Southern Region, a sample of 40 soccer players from different teams were taken and their weight recorded to the nearest kilogram and listed below.

a) Construct a grouped frequency distribution table using a class width of 5 kilograms, the first class must be so to less than 

b) Using the table estimate the mean and standard deviation

(c) using the table in “a” above draw the ogive

d) Determine the quartiles and estimate the inter-quartile range

4. With the aid of practical examples, discuss the following types of research designs

• Action research design
• Case study
• Historical research design (5,5,5)

What are the secondary sources of data collection?

Describe the problems associated with using data from secondary sources

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