Objectives Of Statistical Methods - Mean Median Mode - Statistics Assessment Answer
Assessment Task:

SECTION A

QUESTION 1

(a) Name four objectives of statistical methods.

(b) A matric examination moderator found that in 4 out of 20 papers the total mark was calculated incorrectly. Three papers are selected at random (without replacement). What will the probability be that the first 2 papers have been calculated correctly and the 3rd one incorrectly? 

(c) The statistician at a manufacturing company found the equation for the cost of a certain product as y = 6x + 2000 and the equation for selling price for that product as y = 8x. Draw a graph to find at what output the firm will break even. 

(d) Construct a percentage composite bar chart to illustrate the findings

(e) i. A recruitment agency advertises the monthly salary for a certain position as R4 500.

You were appointed and received R4 795 per month. Calculate the abs estimation.

ii. Use examples to explain the difference between biased and unbiased error.

SECTION B

QUESTION 1

(a) A well-designed questionnaire can make a great deal of difference to the accuracy of the data we collect.

Use these important points to remember when designing a questionnaire to indicate why the following questions (i iv) are not well designed for a questionnaire about eating habits.

i. Early in the morning just after the sunrise when the traffic is hectic on the high way and you are already late and you have missed your breakfast and you are still sleepy because you had to study all night, where would you prefer to eat:

A. Drive through diner

B. Take away at a petrol station

C. Sit down restaurant

D. A home-cooked breakfast

 ii. 1. How many kilojoules do you need for your lifestyle?

2. List your allergies and current illnesses

3. Do you eat breakfast daily? Yes/No

iii. What do you think about healthy eating?

iv. Take away food is very bad for your health. Where would you prefer to eat:

A. Drive through diner

B. Take away at a petrol station

C. Sit down restaurant

D. Home-cooked breakfast

AND / OR

QUESTION 2

The operation manager of a seafood franchise claims that their coastal restaurants have higher sales than their inland restaurants. A random sample of 50 inland restaurants showed an average monthly sales of R160 000 with a standard deviation of R5 000. A random sample of 80 coastal restaurants showed an average monthly sales of R180 000 with a standard deviation of R1 000.

QUESTION 3

(a) The financial manager at XOX Wholesalers recorded the following results after the trend, cyclical and irregular influences were eliminated from the original sales.

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  • Uploaded By : Mitchell Lee
  • Posted on : October 30th, 2018

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