Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit 10 N = * 2 59 234 13 55779999 (**) 4 0001233 14 4 5569 *** 5 03344 7788 6. 1 (i) What is the range of the distribution? What are the values of *, (ii) (iii) (iv) ** and ***? What is the median of the distribution? Use the stem-and-leaf diagram above to draw a box-and-whisker diagram. (v) Comment on the skewness of the distribution. N 5 LO
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
(iv) Use the stem-and-leaf diagram above to draw a box-and-whisker diagram.
(v) Comment on the skewness of the distribution.
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