Suppose we have the following data available for the average number of hours spent in the Santa Fe College Math lab. Male Female 1.50 0.75 1.20 0.82 1.30 0.91 1.05 0.84 0.75 0.59 0.80 1.02 1.00 1.90 0.95 2.10 0.925 2.20 2.50 2.50 3.00 3.50 3.50 2.20 4.01 1.80 Use Data Displays to comment on the shape of the distribution, measures of center and spread, possible skew, and outliers for both genders. (Hint: Use as many displays as needed.)
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.
Suppose we have the following data available for the average number of hours spent in the Santa Fe College Math lab.
|
Male |
Female |
|
1.50 |
0.75 |
|
1.20 |
0.82 |
|
1.30 |
0.91 |
|
1.05 |
0.84 |
|
0.75 |
0.59 |
|
0.80 |
1.02 |
|
1.00 |
1.90 |
|
0.95 |
2.10 |
|
0.925 |
2.20 |
|
2.50 |
2.50 |
|
3.00 |
3.50 |
|
3.50 |
2.20 |
|
4.01 |
1.80 |
- Use Data Displays to comment on the shape of the distribution, measures of center and spread, possible skew, and outliers for both genders. (Hint: Use as many displays as needed.)
Step by step procedure to obtain descriptive statistics using Excel software:
- Choose Stat> Basic statistics> Display Descriptive statistics.
- Select male and female column in Variables.
- Select statistics click mean, median, skewness, kurtosis, standard deviation, interquartile range.
- Click OK
Step by step
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