The following table represents a grouped frequency distribution of the number of hours spent on the computer per week for 54 students. What percentage of students used the computer less than 7 hours per week?_Round your answer to the nearest tenth, if necessary. Hours Number of Students 0.0- 3.4 2 3.5-6.9 18 7.0- 10.4 13 10.5–13.9 14 14.0-17.4 7
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.
![The following table represents a grouped frequency distribution of the number of hours spent on the computer per week for 54 students. What percentage of students used the computer less than 7 hours per week? Round your answer to the nearest tenth, if necessary.
| Hours | Number of Students |
|--------|--------------------|
| 0.0–3.4| 2 |
| 3.5–6.9| 18 |
| 7.0–10.4| 13 |
| 10.5–13.9| 14 |
| 14.0–17.4| 7 |
To find the percentage of students who used the computer less than 7 hours per week, we add the number of students in the first two categories: 2 (0.0–3.4 hours) and 18 (3.5–6.9 hours), which totals 20 students. The percentage is calculated as follows:
\[
\text{Percentage} = \left( \frac{20}{54} \right) \times 100 \approx 37.0\%
\]
Thus, approximately 37.0% of students used the computer for less than 7 hours per week.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcaa13517-3719-4099-8b90-6f3a5ce3c590%2Feec00380-0847-42fa-8c5e-5b766083c9af%2F2hvva55_processed.png&w=3840&q=75)
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