QUESTION THREE Table 1 gives the frequency distribution of the daily commuting times (in minutes) from home to work for all 25 employees of Ghana. Daily commuting time (minutes) Number of Employees 0 to less than 10 4 10 to less than 20 9 20 to less than 30 6 30 to less than 40 4 40 to less than 50 2 The management of Ghana has consulted you to help it find the following: a. The mean community time of the workers from home to work. b. The median community time of the workers from home to work. c. The mode of the community time of the workers from home to work. d. The variance of the community time of the workers from home to work. e. The standard deviation of the community time of the workers from home to work. f. The relationship between the mean, median and mode of the community time of the workers from home to work.
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 THREE Table 1 gives the frequency distribution of the daily commuting times (in minutes) from home to work for all 25 employees of Ghana.
|
Daily commuting time (minutes) |
Number of Employees |
|
0 to less than 10 |
4 |
|
10 to less than 20 |
9 |
|
20 to less than 30 |
6 |
|
30 to less than 40 |
4 |
|
40 to less than 50 |
2 |
The management of Ghana has consulted you to help it find the following:
a. The mean community time of the workers from home to work.
b. The median community time of the workers from home to work.
c. The
d. The variance of the community time of the workers from home to work.
e. The standard deviation of the community time of the workers from home to work.
f. The relationship between the mean, median and mode of the community time of the workers from home to work.
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