1Construct a grouped frequency distribution of the “Perception of Meaning in Life” (X) data. Be sure to include all
necessary components. Note: 1 = low perception; 7 = high perception.

2. What is the mode of the X distribution? (2 points) Provide a one sentence definition of the mode. .

3 Find the mean, min, Q1, Q2, Q3, max, range, and interquartile range of the X distribution.

4 Provide a one sentence definition of the mean, min, Q1, Q2, Q3, max, range, and interquartile range in the context of the X distribution.
Construct a boxplot of the X distribution. Be sure to label each aspect of the boxplot. (7 points)
6. Indicate the shape of the X distribution. Be sure to provide 2 thoroughly described arguments for your conclusion.
(6 points)
7. Identify all data points (in the X distribution) that are considered outliers based on the following definition: Lower Outlier: 25th percentile minus (1.5 x IQR); Upper Outlier: 75th percentile plus (1.5 x IQR).

8 Find all z-scores for the X distribution.

9. Identify all data points that are considered outliers based on the following definition: Z is greater than or equal to ±3σ. How does this method of identifying outliers relate to the “Quartile Method (i.e., did the methods identify the same outliers)?”

10. Create a scatterplot. Be sure to put “Satisfaction with Life” (Y) on the y-axis and “Perception of Meaning in Life” (X) on the x-axis. (5 points) Do you think there is a negative, positive, or no relationship between these variables? Be sure to provide evidence for your conclusion.