1. Height data: Using the height data, find the
Mean Median Mode (write None if there is no Mode)
a. Using the class Excel data, what are the shortest and tallest height values?
Shortest: Tallest:
b. What is the range of the data?
c. What is the standard deviation of the height data?
2.
a. The mean of a set of data is…
b. The median of a set of data is…
c. The mode of a set of data is…
d. If your data set has a mean, median and mode, which of these measurements must ALWAYS be one of the data values? Explain your reasoning.
3. Answer the following questions. We will assume that we have a normal distribution so that we may use z-scores to normalize the data.
a. What is YOUR height in inches?
b. Use YOUR measurement to compute the z-score for your height (show your work below)
c. What percentage of students in the class are shorter than you?
d. What percentage of students in the class are taller than you?
e. Find the 5-number summary for the height data in the Excel file. (You may calculate these values by hand or use a calculator.)
The interquartile range is the distance between Q1 and Q3. We use the interquartile range to find outliers in our data set. A value is considered an outlier if it is 1.5 times the interquartile range above Q3 or below Q1.
f. Find the interquartile range. What is 1.5 times the interquartile range?
g. What values above Q3 would be considered an outlier? Data values bigger than
h. What values below Q1 would be considered an outlier? Data values smaller than
i. Does our data have any outliers?
