Calculating Arithmetic Means - Statistics Assignment Help

Assignment Task

Question 1

The following data are the amounts of money (to the nearest ten rand) which 30 households in a suburb reported having budgeted for entertainment for the next three months.

210, 250, 260, 260, 300, 350, 360, 360, 370, 380, 390, 400, 420, 420, 430, 450, 450, 460, 460, 470, 490, 500, 500, 550, 580, 620, 670, 720, 750, 970.

(a) Construct a frequency table with class widths of R100.
(b) From the table draw a histogram and a frequency polygon.
(c) Draw the 'cumulative less than' ogive and show how you would read off the lower quartile.
(d) From the ogive estimate the number of people who have budgeted between R450 and R500.

Question 3

The arithmetic mean is the average of all the numbers in a data set. Therefore, it is the best measure of location. Discuss the above statement.

Question 4

Use the data from question 3 to draw a Lorenz Curve. Interpret the diagram.
 

Question 5

Draw a histogram with a positive skew and indicate the position of the mode on it. What is the approximate relationship between the mean, mode and median? Show, on your histogram, the relative positions of these points and explain how you would calculate them if you had the frequency table from which the histogram was drawn.
 

Question 6

Outline ten rules for drawing graphs and give a simple example for each rule of how not complying with them can be used to misrepresent data, or may confuse the reader.

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