Quiz grades Joey’s first 14 quiz grades in a marking period were

86849175788074
87769682909893

Calculate the mean. Show your work. Interpret your result in context.

Short Answer

Expert verified

Mean is 85Out of 14values,7 are above mean and 7 are less than mean. Thus here mean is a balance point.

Step by step solution

01

Given information

Given:

86849175788074
8776%82909895
02

Concept

The count of "average" is a single number that is taken as a representative of a list of numbers. Thus, the sum of the numbers divided by the count of numbers in the list is the average.

03

Calculation

The following is the average of Joe's first 14 quiz grades in a marking period:

Mean = X

=Σxin=sumofobservationsn=x1+x2+x3+.....+xnn=86+87+84+76+91+96+75+82+78+90+80+98+74+9314=119014

Mean =85

The mean shows us how big each observation in the data set would be if the total was distributed evenly across all of them, i.e. the mean is a "fair share." We may deduce that 7 of the 14 numbers are greater than the mean and 7 are less than the mean. As a result, the mean is a point of equilibrium.

Therefore, mean is 85

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

Popular colours—here and there Favorite vehicle colours may differ among countries. The side-by-sidebar graph shows data on the most popular colours of cars in 2008 for the United States and Europe. Write a few sentences comparing the two distributions.

Olympic gold! The following table displays the total number of gold medals won by a sample of countries in the 2008 Summer Olympic Games in China.

(a) Make a dot plot to display these data. Describe the overall pattern of the distribution and any deviations from that pattern.

(b) Overall, 204 countries participated in the 2008 Summer Olympics, of which 55 won at least one gold medal. Do you believe that the sample of countries listed in the table is representative of this larger population? Why or why not?

U.S. women’s soccer—2004 Earlier, we examined data on the number of goals scored by the U.S. women’s soccer team in games during the 2004 season. The dot plot below displays the goal differential for those same games, computed as the U.S. score minus the opponent’s score

(a) Explain what the two dots above 2represent.

(b) What does the graph tell us about how well the team did in 2004? Be specific.

The National Survey of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next ten years?” Here is a two-way table of the responses by gender:


The percentage of females among the respondents was

(a) 2625 (c) about 46%. (e) None of these.

(b) 4877 (d) about 54%.

Birth days Births are not evenly distributed across

the days of the week. Here are the average numbers

of babies born on each day of the week in the United

States in a recent year.

(a) Present these data in a well-labelled bar graph.

Would it also be correct to make a pie chart?

(b) Suggest some possible reasons why there are

fewer births on weekends.

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