QUESTION 1: FREQUENCY TABLES       QUESTION 2: FREQUENCY TABLES Organize the data in a table with absolute frequency, relative frequency (percentage) and cumulative frequency (percentile)

QUESTION 1: FREQUENCY TABLES  

QUESTION 2: FREQUENCY TABLES

Organize the data in a table with absolute frequency, relative frequency (percentage) and cumulative frequency (percentile).

QUESTION 3: MEAN, MEDIAN AND MODE  

For the below data asset, calculate the:

a.) Mean b.) Mode c.) Median

QUESTION 4: PERCENTILE & QUARTILES

For the given data set below, calculate the 25^th 50^th and 75^th percentile. Also provide the Five Number

QUESTION 5: MEAN, MEDIAN AND MODE

A frozen food company has a contract with Farm A, to provide peas for their processing plant. The daily supply of peas (in tons) over the past two weeks from Farm A has been as follows:

The frozen food company also contracts with Farm B. The daily supply of peas (in tons) over the past two weeks from Farm B has been as follows:

Calculate the respective mean, median and mode for each of the Farms and comment on the answers.

QUESTION 6: THEORY  

6.1. Explain the difference between a POPULATION and a SAMPLE

6.2. Explain the difference between a parameter and a statistic
 

6.3. discuss the reasons for why we make use of sampling data

 6.4. discuss two characteristics of the normal distribution

QUESTION 7: SCATTERPLOTS & CORRELATION

Discuss and comment on each of the below graphs in terms of its correlation and relationship.

a)

b)

c)

QUESTION 8: CORRELATION

8.1. Discuss the definition of correlation and what information the correlation calculation provides

8.2. Discuss the limits of correlation

QUESTION 9: CORRELATION

The number of visitors to a cycle track and the number of drinks sold by a cafe? at the location are recorded in the table below.

9.1.  Draw a scatterplot diagram and interpret the graph

9.2.  Describe the relationship between the number of visitors and the number of drinks sold.

9.3.  Which particular day does not fit the relationship?

9.4.  Calculate the correlation coefficient.

QUESTION 10: NORMAL DISTRIBUTION  

The heights of adult females are normally distributed with mean 160cm and Standard Deviation 8cm.

10.1. Explain the Normal Distribution and Standard Normal Distribution in your own words

10.2. Find the probability that a randomly selected adult female has a height greater than 170cm

Any adult female whose height is greater than 170cm is defined as tall. An adult female is chosen at random. Given that she is tall,

10.3. find the probability that she has a height greater than 180cm

Half of tall adult females have a height greater than h cm. 10.5. Find the value of h.