Find the sample mean of the data. Be sure to include screenshot of Excel of your answers and formulas/command that you use.
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.
Find the sample
 alt="**Parking Tickets**
According to data from the city of Toronto, Ontario, Canada, there were more than 180,000 parking infractions in the city for December 2015, with fines totaling over 8,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2015 are listed below.
30, 30, 30, 30, 40, 60, 40
15, 30, 150, 40, 30, 30, 30
40, 30, 30, 40, 30, 150, 40
40, 40, 40, 40, 60, 30, 40
40, 30, 250, 40, 30, 30, 30
40, 40, 30, 40, 30, 30, 150
40, 40, 30, 30, 40, 40, 60
40, 150, 30, 30, 30, 40, 30
30, 30, 30, 150, 40, 40, 60
150, 40, 30, 30, 40, 40, 30
30, 40, 60, 30, 40, 40, 30
The pie chart titled "Parking Infractions by Time of Day" shows the distribution of infractions throughout the day. The percentages are as follows:
- 8:00 p.m. - 11:59 p.m.: 9.4%
- 12:00 a.m. - 3:59 a.m.: 17.9%
- 4:00 a.m. - 7:59 a.m.: 7.6%
- 8:00 a.m. - 11:59 a.m.: 22.5%
- 12:00 p.m. - 3:59 p.m.: 24.6%
- 4:00 p.m. - 7:59 p.m.: 18.0%
The line graph titled "Parking Infractions by Day" illustrates the number of infractions per day in December 2015. It shows fluctuations throughout the month, with a noticeable spike on Sundays.
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