Calculate the mean and median for the data representing the number of hours a random person spends online. Explain what this tells you about the shape of your distribution and which measure for the spread would be best? 15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0 1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
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.
3. Calculate the
15 12 6.2 7 5.5 2 4 5 10 11 7 6 4 7 0
1 5 3.2 4 10 6 2 10 1.5 5.1 6.4 8 14 3 2
4. Based on the distribution that you found in part 3, indicate whether the data is symmetric or skewed and then calculate the best measure for the spread of the distribution: Standard deviation or IQR. What information does this measure provide in terms of your data?
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