Question: The average time that Pakistani commute to spend is 3.85 hours (Visited Best Places, summer, 2019). The average commute times in hours for 8 cities are as follows: Table 3.1 Cities Time in Hours Hunza 5.72 Gilgit 4.58 Skardu 7.60 Neelum 3.35 Kaghan 2.24 Naran 2.17 Kalash 1.60 Swat 5.44 a) What is the sample variance of commute times for these 8 cities? b) What is the sample standard deviation of commute times for these 8 cities? c) What is the third quartile of commute times for these 8 cities? d) Compute the 85th percentile.
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.
Question: The average time that Pakistani commute to spend is 3.85 hours (Visited Best Places, summer, 2019). The average commute times in hours for 8 cities are as follows:
Table 3.1
|
Cities |
Time in Hours |
|
Hunza |
5.72 |
|
Gilgit |
4.58 |
|
Skardu |
7.60 |
|
Neelum |
3.35 |
|
Kaghan |
2.24 |
|
Naran |
2.17 |
|
Kalash |
1.60 |
|
Swat |
5.44 |
a) What is the sample variance of commute times for these 8 cities?
b) What is the sample standard deviation of commute times for these 8 cities?
c) What is the third
d) Compute the 85th percentile.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
