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Solved: In Exercise, find the (a) mean, (b) median, (c)

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 15BSC Chapter 3.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 15BSC

Problem 15BSC

In Exercise, find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions.

Years to Earn Bachelor’s Degree Listed below are the lengths of time (in years) it took for a random sample of college students to earn bachelor’s degrees (based on data from the National Center for Education Statistics). Based on these results, does it appear that it is common to earn a bachelor’s degree in 4 years?

4  4  4  4  4  4  4.5  4.5  4.5  4.5  4.5  4.5  6  6  8  9  9  13  13  15

Step-by-Step Solution:
Step 1 of 3

Problem 15BSC

Answer:

Step1 of 3:

We have Listed below are the lengths of time (in years) it took for a random sample of college students to earn bachelor’s degrees (based on data from the National Center for Education Statistics).

4

4

4

4

 4

 4

  4.5

 4.5

  4.5  

4.5  

4.5

4.5  

6

 6

 6  

8

 9

 9

 13

 13  

15

Step2 of 3:

We need to find the (a)mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions.

Step3 of 3:

a)Mean:mean is the average of the numbers and it is given by

Mean() =

             

              =

              =

                = 2.175

Therefore,the mean of the given data is 2.175 years.

b).Median:The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

Write the given data in Ascending order

4

4

4

4

 4

 4

  4.5

 4.5

  4.5  

4.5  

4.5

4.5  

6

 6

 6  

8

 9

 9

 13

 13  

15

   Median = mid value in a given data, if the given data is odd

             = 4.5

Therefore,the median of the given data is 4.5 years.

c)Mode:The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Here, 4 and 4.5 are repeated six times hence the mode is 4 years and 4.5 years

Therefore, Mode = 4 years and 4.5 years.

d).Midrange:the midrange or mid-extreme of a set of statistical data values is the arithmetic mean of the maximum and minimum values in a data set, defined as: The mid-range is the midpoint of the range  

  Mid-range =

                 =

                 =

                    = 9.5

Therefore,midrange of the given data is 9.5 years.

It is common to earn a bachelor’s degree in four years, but the typical college student requires more than four years.

Step 2 of 3

Chapter 3.2, Problem 15BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. This full solution covers the following key subjects: years, bachelor, earn, data, sample. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 15BSC from chapter: 3.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Since the solution to 15BSC from 3.2 chapter was answered, more than 360 students have viewed the full step-by-step answer. The answer to “In Exercise, find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions.Years to Earn Bachelor’s Degree Listed below are the lengths of time (in years) it took for a random sample of college students to earn bachelor’s degrees (based on data from the National Center for Education Statistics). Based on these results, does it appear that it is common to earn a bachelor’s degree in 4 years?4 4 4 4 4 4 4.5 4.5 4.5 4.5 4.5 4.5 6 6 8 9 9 13 13 15” is broken down into a number of easy to follow steps, and 105 words.

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