L3 Measures of Averages - STATISTICS Averages Averages...

Info icon This preview shows pages 1–7. Sign up to view the full content.

STATISTICS Averages
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Averages There are three averages that can be used Mean Mode Median They are not always appropriate to every average calculation, and care must be taken to use the most suitable for the task.
Image of page 2
Averages Mean using a list of values x x 10 5 50 N x x Add up all the values and divide by the number of values in the list 10 14 8 6 12 50 This can be affected by outliers, which distort the mean. If this is the case, the data may be such that you can ignore the outlier and work with the remaining figures.
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

8 1 8 15 2 30 8 3 24 6 3 18 10 1 10 10 90 Averages Mean using a frequency distribution The individual numbers can not be used in this case. The frequency has to be taken into account. x f fx f fx 9 10 90 f fx x The sum of all of the numbers (fx) is divided by the number of values (f)
Image of page 4
Averages Mean using a grouped distribution This is slightly more complicated because we have to consider the upper and lower boundaries of the group in order to find a mid interval value to use in the calculations. Once the mid interval value has been found, this is treated the same way as the x value in a frequency distribution, and the procedure is as shown before.
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Averages Mean using a grouped distribution f fx 5 . 25 10 255 f fx x Notice how the MIV is used as x.
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern