Question 1 [50]

The monthly profits (rounded to the nearest N$ 0000s) for the 2021/2022 financial year for two Small Medium Enterprises (SMEs) operating in the manufacturing industry are given in the table below:

Month	Monthly profit (N$ 0000s)
	SME_1	SME_2
April 2021	20	10
May 2021	22	25
June 2021	25	12
July 2021	28	16
August 2021	30	20
September 2021	25	12
October 2021	29	27
November 2021	33	35
December 2021	50	25
January 2022	18	22
February 2022	15	34
March 2022	25	38

Required:

1.1 Calculate and interpret the following descriptive statistics measures for each SME:

a) Mean

b) Mode

c) Median

d) Third quartile

e) 90^th percentile

f) Range

h) Standard deviation

i) Coefficient of variation

Use the descriptive measures calculated in 1.1 and comment on the performance of the two SMEs during the 2021/22 financial year.

Calculate z-scores i.e. standardized values for all observations and identify the outliers in the data set.

Is the dataset in the table above time series or cross sectional? Motivate.

Construct a frequency distribution for the monthly profits for SME_

Use three classes.

Construct a stem and leaf display for the monthly profits for SME