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2. The annual salaries (in thousands of dollars) of a sample of 14 employees at a certain company are given. Find the measures of central
2. The annual salaries (in thousands of dollars) of a sample of 14 employees at a certain company are given. Find the measures of central tendency, variation, and relative standing. 44 48 59 68 73 81 85 46 52 63 71 |78 84 172 a. Find the measures of central tendency, variation, and position. Round to the nearest tenth: Mean Standard deviation Minimum Lower Quartile (Q1) Median Upper Quartile (Q3) Maximum 75% of employees make less than what salary? c. Write a sentence to interpret the lower quartile (Q1). Hint: remember that we can interpret the median as, "half of people have a salary below $_ How can you interpret quartiles in a similar way? d. Using your intuition only (no math), are there any salaries that appear unusually large or small? If so, which one(s)? e. Find the interquartile range (IQR). f. Identify any suspected outliers in the data. Show work using the IQR method. The steps of this method are summarized in the box below. Identifying Outliers Using the IQR Method Calculate the IQR = Q3 -Q1 . . . Calculate IQR*1.5 Values less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR are suspected outliers g. If an employee has a salary of $18,000 at this company, is this an outlier
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