Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Find the mean, median, and mode for each set of data.

{4, 5, 6, 7, 8}

Short Answer

Expert verified

The mean of the given data is 6, median of the given data is 6, and there is no mode of the given data.

Step by step solution

01

Step 1. Write the formulae used.

  • The mean of a data is: Mean=sumofallthenumbersindataTotalnumberofnumbersindata
  • The median of a data is calculated by arranging the numbers in data in ascending order then if:
  1. The numbers in the data are odd, then the median is the middle term.
  2. The numbers in data are even, then the median is the average of the middle term.
  • The mode of data is the most repeated number of the data.
02

Step 2. Write the given information.

Numbers in data are(in ascending order): 4, 5, 6, 7, 8, i.e., there are 5 numbers in data.

03

Step 3. Description of step.

Use the formulae mentioned to find mean, median and mode.

Mean=4+5+6+7+85=305=6

Since there are 5 numbers(odd) in data so the median is the middle term that is the 3rd number, which is 6.

Thus, the median is 6.

And it can be noticed that no number is being repeated thus there is no mode of the given data.

Thus, the mean of the given data is 6, the median of the given data is 6, and there is no mode of the given data.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free