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

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...