A. Develop a histogram for the frequency distribution below, the commuting distance for 50 employees of a particular company. Commuting Miles Frequency 0-under 4 3 4-under 8 10 8-under 12 6 12-under 16 16 16-under 20 6 20-under 25 9 Total 50
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 ONE
A. Develop a histogram for the frequency distribution below, the commuting
distance for 50 employees of a particular company.
|
Commuting Miles |
Frequency |
|
0-under 4 |
3 |
|
4-under 8 |
10 |
|
8-under 12 |
6 |
|
12-under 16 |
16 |
|
16-under 20 |
6 |
|
20-under 25 |
9 |
|
Total |
50 |
B. A statistics professor administered an exam to three different classes. The 8:00 class had 20 students and an average score of 82.4. The 9:00 class had 24 students and an average of 78.9. The 29 students in the 10:00 class had an average of 87.3. Calculate the overall average for all three classes combined.
C. The following table summarizes the grade point averages (GPAs) of graduate
students in a statistics class. Approximate the mean GPA of the class.
|
GPA |
Frequency |
|
3.0-under 3.2 |
5 |
|
3.2-under 3.4 |
9 |
|
3.4-under 3.6 |
6 |
|
3.6-under 3.8 |
16 |
|
3.8-4.0 |
2 |
D. The following table lists the number of days that 15 houses in a particular area
were on the market waiting to be sold. Calculate the IQR to determine whether
the data set contains any outliers.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
