answer III , IV AND V b) The amount of money earned in a day by Ms. Anne’s craft shop was recorded and displayed in the stem-and-leaf diagram shown below in Exhibit 1. Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N = * 2 2 59 5 3 234 13 3 55779999 (**) 4 0001233 14 4 5569 *** 5 03344 5 5 7788 1 6 1 (i) What is the range of the distribution? (ii) What are the values of *, ** and ***? (iii) What is the median of the distribution? (iv) Use the stem-and-leaf diagram above to draw a box-and-whisker diagram. (v) Comment on the skewness of the distribution.
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.
answer III , IV AND V
b) The amount of money earned in a day by Ms. Anne’s craft shop was recorded and displayed
in the stem-and-leaf diagram shown below in Exhibit 1.
Exhibit 1
Stem-and-leaf of Data: Amount of Money earned in a day in
dollars
Leaf Unit = 10 N = *
2 2 59
5 3 234
13 3 55779999
(**) 4 0001233
14 4 5569
*** 5 03344
5 5 7788
1 6 1
(i) What is the
(ii) What are the values of *, ** and ***?
(iii) What is the median of the distribution?
(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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