The following is a frequency histogram and a box plot showing the annual salary distribution at a small company. 30 40 50 60 70 80 90 100 1io 120 130 140 150 Annual Salary (in thousands of $) a. Describe the distribution by addressing the following: i. Is it unimodal, bimodal, multimodal, or uniform? Is it symmetric or skewed? If skewed, in which direction? ii. b. Estimate the median of the data and include units in your answer. c. Find the range of salaries of the middle 50% of employees. Include units in your answer. d. At this company, is the mean salary greater than the median, less than the median, or approximately equal to the median? Briefly explain how you know. e. Are there any outliers in this data? If so, approximate the value of the outlier(s). Number of Employees

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 2CYU
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The following is a frequency histogram and a box plot showing the annual salary
distribution at a small company.
30 40 50 60 70 80 90 100 1io 120 130 140 150
Annual Salary (in thousands of $)
a. Describe the distribution by addressing the following:
i. Is it unimodal, bimodal, multimodal, or uniform?
Is it symmetric or skewed? If skewed, in which direction?
ii.
b. Estimate the median of the data and include units in your answer.
c. Find the range of salaries of the middle 50% of employees. Include units in your
answer.
d. At this company, is the mean salary greater than the median, less than the median,
or approximately equal to the median? Briefly explain how you know.
e. Are there any outliers in this data? If so, approximate the value of the outlier(s).
Number of Employees
Transcribed Image Text:The following is a frequency histogram and a box plot showing the annual salary distribution at a small company. 30 40 50 60 70 80 90 100 1io 120 130 140 150 Annual Salary (in thousands of $) a. Describe the distribution by addressing the following: i. Is it unimodal, bimodal, multimodal, or uniform? Is it symmetric or skewed? If skewed, in which direction? ii. b. Estimate the median of the data and include units in your answer. c. Find the range of salaries of the middle 50% of employees. Include units in your answer. d. At this company, is the mean salary greater than the median, less than the median, or approximately equal to the median? Briefly explain how you know. e. Are there any outliers in this data? If so, approximate the value of the outlier(s). Number of Employees
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