which variable had greater variability number of hours of school work and the number of hours watching television
To compare the variability of two variables, such as the number of hours of school work and the number of hours watching television, you need to calculate their measures of variability, such as the range, variance, or standard deviation. These measures help to determine the spread or dispersion of data.
- Range: To find the range, subtract the smallest value from the largest value. The variable with a larger range has greater variability.
- Variance: To calculate the variance, you need to find the average of squared differences from the mean for each variable. The variable with a higher variance has greater variability.
- Standard Deviation: The standard deviation is the square root of the variance. It measures how much the values deviate from the mean. The variable with a larger standard deviation has greater variability.
Once you have calculated these measures for both variables, you can compare them to determine which variable had greater variability.