WORKSHEET ON MEAN AND MEDIAN

Find the mean of the given data

Find the mean of the following :

Problem 1 :

12.45, 12.99, 10.50, 11.25, 9.99, 12.72

Solution

Problem 2 :

28.8, 32.9, 32.5, 27.9, 30.4, 32.5, 31.6, 32.7

Solution

Problem 3 :

Four girls leaving a mall were asked how much money they had just spent. The amounts were $0, $14.95, $35.25, and $25.16. Find the mean amount of money spent.

Solution

Problem 4 :

Juan bought 5 shirts to wear to his new job. The costs of the shirts were $32.95, $38.50, $30.00, $17.45, and $24.25. Find the mean cost.

Solution

Problem 5 :

The number of minutes it took Jim to ride his bike to school for each of the past six days was 21, 18, 16, 19, 24 and 19. Find the mean number of minutes.

Solution

Problem 6 :

Norris bought six books for his classes this semester. The costs of the books were $74.28, $120.95, $52.40, $10.59, $35.89, and $59.24. Find the mean cost.

Solution

Problem 7 :

The top eight hitters in a softball league have batting averages of .373, .360, .321, 321, .320, .312, .311, and .311. Find the mean of the batting averages. Round your answer to the nearest thousandth.

Solution

Problem 8 :

The monthly snowfall at a ski resort over a six-month period was 60.3, 79.7, 50.9, 28.0, 47.4, and 46.1 inches. Find the mean snowfall.

Solution

Problem 9 :

An amusement park hires students for the summer. The students’ hourly wages are given in the table. Find the mean, median, and mode of the hourly wages.

Solution

Problem 10 :

In an English class, four students wrote essays of 1327, 1295, 1198 and 1456 words in length, respectively. What is the average length of these four essays?

Solution

Problem 11 :

The average of eight numbers is 22. If we remove one number, the average of the remaining numbers is 19. What number was removed?

Solution

Problem 12 :

The teacher sets a goal for a class average of 92 on a test. Out of a class of 12 students, seven students scored 89 and four students scored 84. What must the remaining score be in order to reach the goal? Can it be done?

Solution

Find the median of the given data

Problem 1 :

121, 115, 135, 109, 136, 147, 127, 119, 110

Solution

Problem 2 :

4, 8, 1, 5, 14, 3, 1, 12

Solution

Problem 3 :

3, 9, 2, 6, 20, 3, 3, 10

Solution

Problem 4 :

99.2, 101.9, 98.6, 99.5, 100.8, 99.8

Solution

Problem 5 :

28.8, 32.9, 32.5, 27.9, 30.4, 32.5, 31.6, 32.7

Solution

Problem 6 :

Last week ray recorded how much he spent for lunch each workday. He spent $6.50, $7.25, $4.90, $5.30, and $12.00. Find the median.

Solution

Problem 7 :

Michaela is in charge of 6 two year olds at a day care centre. Their ages, in months, are 25, 24, 28, 32, 29, and 31. Find the median age.

Solution

Problem 8 :

Brian is teaching a swim class for 6 three-year olds. Their ages, in months, are 38, 41, 45, 36, 40, and 42. Find the median age.

Solution

Problem 9 :

Sal recorded the amount he spent for gas each week for the past 8 weeks. The amounts were past 8 weeks. The amounts were $38.65, $32.18, $40.23, $51.50, $43.68, $30.96, $41.37, and $44.72. Find the median amount.

Solution

Problem 10 :

The average weigth of a group of 20 boys was calculated to be 89.4. It was later discovered that one weight was misread as 78 kg instead of the correct on of 87 kg. Calculate the correct average weight ?

Solution

Find the median for ungrouped data

Find the median of the following data :

Problem 1 :

2, 5, 1, 5, 2, 1, 2, 3, 2, 3, 1

Solution

Problem 2 :

8, 5, 1, 3, 7, 1, 1, 7, 1, 8, 7

Solution

Problem 3 :

18, 22, 17, 20, 19, 20, 22, 19, 29, 18, 23, 25, 22, 24, 23, 22, 18, 20, 22, 20

Solution

Problem 4 :

42, 28, 32, 35, 24, 32, 48, 32, 32, 24, 35, 28, 30, 35, 45, 32, 28, 32, 42, 42, 30

Solution

Problem 5 :

The number of children per house on one block:

1, 4, 2, 3, 3, 2, 6, 2, 4, 2, 0, 3, 0.

Solution

Problem 6 :

The number of movies watched each month last year: 2, 0, 3, 0, 0, 8, 6, 5, 0, 1, 2, 3

Solution

Problem 7 :

The number of units being taken by students in one class: 12, 5, 11, 10, 10, 11, 5, 11, 11, 11, 10, 12.

Solution

Problem 8 :

The number of hours of sleep per night for the past two weeks: 8, 5, 7, 8, 8, 6, 6, 6, 6, 9, 7, 8, 8, 8.

Solution

Problem 9 :

A teacher asked his class of 20 students, “What is your age?” Their responses are shown on the line plot below

Solution

Problem 10 :

If x, 13, 15, 18, x + 1, x + 3, 30, 32, 35, 41 are ten observation in an ascending order with median 24, find the value of x.

Solution