Social networks

OpenProf

Unlock access to content

Select one option:

Free of charge

Unlock the chapter "Mean, median and range"

Unlock access to the solution of problems in this chapter.
Free of charge Price: 3 £

Continue »

Subscribe to OpenProf If you do not get a better grade, you get your money back!

Unlock access to all problems solutions.
Available from 8.25 £ / month.

Continue »

Solved problems for the chapter:

Mean, median and range

The chapter does not contain theoretical materials.

↓ Show theory [0] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:mean%2C_median_and_range/4133/

Example 1.

The 9th grade students collected donations for the final field trip. Donors contributed in pounds as follows:

What is the average donation?

Example 2.

Martha obtained 7 different marks in mathematics assessments, which he showed with a dot graph. Calculate her average score.

Calculate the arithmetic mean of the following numbers.

Numbers:

Calculate the number x so that the arithmetic mean of the given numbers is 50:

The bar chart shows the height of ten students. Calculate the average height of the students.

Heights of Students (cm)

Solution:

The table shows the salaries of the employees in a company. The average salary in the company is £1 285. What is the salary of the director of the company marked with x?

Salary
905
782
657
1080
1475
1123
780
x

Obtain the median of the following data:

, , , , , ,,

Seven children from the 9th grade have brown hair, three have black hair, two children have yellow hair, and six have light brown hair. What is the average hair colour of the 9th grade students?

10.

For which of the following measurements presented in the table can we determine the arithmetic mean? Calculate the arithmetic mean in each case possible.

Jump length	Eye color	Dive Time	Weather	Price of sneakers
1.76	green	64	rainy	74
1.26	brown	76	sunny	60
1.43	blue	57	windy	66

11.

Can you find the average of the phone numbers of your classmates?

12.

Calculate the arithmetic mean of the following numbers:

Numbers:
122.7
135.3
964.0
19.5
151.0
2705.7
15.3
199.8

13.

Richard wrote down the number of sit-ups he does daily in a week. How many sit-ups does Milan do on average per day?

Day of the week	Number of sit-ups
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday

14.

An ordered data set contains data size. Specifies the position of the median of the ordered data.

15.

A group of friends swam underwater and they measured the distance covered. Determine the median of the covered distances.

Friend	Distance
Erik
Andre
Dion
Steve
Jack
Anzel
Tim
George

16.

George rode his bike every day at the beach. The first day he rode , the second day , the third day , the fourth day he rested, the fifth day he rode more than the first day, and the sixth day half as much as the third day. Determine the median number of the distance cycled.

17.

Given the ordered data . Find the value of for which the median of the data is .

18.

In a jumping club, the height of training jumps of 13 jumpers was recorded. Their results were:

Determine the median.

19.

The graph below shows the highest daily temperature in June 2017. Determine the median temperature.

Highest daily temperature in June 2017

20.

Jessica rolled a die twelve times. She recorded the results and presented them graphically. Determine the median of the presented data.

Pie Chart Showing the Result of Die Rolled

21.

Peter and his friends were jumping on the beach. Their jumps were measured as:

Determine the median jump length.

22.

In a 4th grade, the height of the students in the class was measured and recorded. The following data were recorded:

Determine the median.

23.

Students in the 7th grade estimated the distance from school to their homes. The obtained data were recorded on the board:

Determine the median of the collected data.

24.

The teacher graphically showed the students their math test scores. Determine the median of their scores.

Math Test Results