A group of high school students was asked how many hours per week they thought would be reasonable for teachers to expect them to spend on homework and assignments. The responses are recorded in the table below. Hours Number of Students 0-4 5 5-9 8 10-14 21 15-19 17 20-24 3 25-29 2 a. Calculate the mean number of hours that students thought was reasonable for teachers to expect them to spend on homework and assignments. b. Calculate the standard deviation for the number of hours that students thought was reasonable for teachers to expect them to spend on homework and assignments.
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.
A group of high school students was asked how many hours per week they thought would be reasonable for teachers to expect them to spend on homework and assignments. The responses are recorded in the table below.
| Hours | Number of Students | |||
| 0-4 | 5 | |||
| 5-9 | 8 | |||
| 10-14 | 21 | |||
| 15-19 | 17 | |||
| 20-24 | 3 | |||
| 25-29 | 2 |
a. Calculate the
b. Calculate the standard deviation for the number of hours that students thought was reasonable for teachers to expect them to spend on homework and assignments.
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