Here are the summary statistics for the weekly payroll of a small company: iowest salary $300, mean salary $900, median = $800, range = $1200, IQR = $800, first quartile = $350, standard deviation = $350. a) Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why. O A. The distribution is skewed to the right because the mean is greater than the median. O B. The distribution is symmetric because the mean is greater than the median. O C. The distribution is skewed to the left because the mean is greater than the median. O D. There is not enough information to estimate the shape of the distribution. b) Between what two values are the middle 50% of the salaries found? The middle 50% of the salaries are found between $ and $. c) Suppose business has been good and the company gives each employee a $100 raise. Tell the new value of each of the summary statistics. After everyone receives a $100 raise, the new lowest salary is $. After everyone receives a $100 raise, the new mean salan in s

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Here are the summary statistics for the weekly payroll of a small company:
lowest salary $300, mean salary $900, median = $800, range = $1200, IQR = $800, first quartile = $350, standard deviation = $350.
a) Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why.
O A. The distribution is skewed to the right because the mean is greater than the median.
B. The distribution is symmetric because the mean is greater than the median.
O C. The distribution is skewed to the left because the mean is greater than the median.
O D. There is not enough information to estimate the shape of the distribution.
b) Between what two values are the middle 50% of the salaries found?
The middle 50% of the salaries are found between $
and $.
c) Suppose business has been good and the company gives each employee a $100 raise. Tell the new value of each of the summary statistics.
After everyone receives a $100 raise, the new lowest salary is $
After everyone receives a $100 raise, the new mean salary is $
After everyone receives a $100 raise, the new median is $
After everyone receives a $100 raise, the new range is $
After everyone receives a $100 raise, the new IQR is $
After everyone receives a $100 raise, the new first quartile is $
After everyone receives a $100 raise, the new standard deviation is $
Transcribed Image Text:Here are the summary statistics for the weekly payroll of a small company: lowest salary $300, mean salary $900, median = $800, range = $1200, IQR = $800, first quartile = $350, standard deviation = $350. a) Do you think the distribution of salaries is symmetric, skewed to the left, or skewed to the right? Explain why. O A. The distribution is skewed to the right because the mean is greater than the median. B. The distribution is symmetric because the mean is greater than the median. O C. The distribution is skewed to the left because the mean is greater than the median. O D. There is not enough information to estimate the shape of the distribution. b) Between what two values are the middle 50% of the salaries found? The middle 50% of the salaries are found between $ and $. c) Suppose business has been good and the company gives each employee a $100 raise. Tell the new value of each of the summary statistics. After everyone receives a $100 raise, the new lowest salary is $ After everyone receives a $100 raise, the new mean salary is $ After everyone receives a $100 raise, the new median is $ After everyone receives a $100 raise, the new range is $ After everyone receives a $100 raise, the new IQR is $ After everyone receives a $100 raise, the new first quartile is $ After everyone receives a $100 raise, the new standard deviation is $
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill