MISSING FREQUENCY QUESTIONS OF MEAN WORKSHEET

Problem 1 :

Aidan plays 50 games in an arcade. The table shows how many tickets he won in each game.

(a) Work out the missing frequency

(b) Work out the total number of tickets won

(c) Work out the mean number of tickets won per game.

Aidan wants to exchange his ticket for a prize that costs 800 tickets.

(d) How many more games do you expect Aidan would have to play?

Solution

Problem 2 :

Max rolls a dice 80 times. The table shows the results.

(a) Find the value of x

(b) Work out the mean score

Solution

Problem 3 :

A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in the place of x ?

Solution

Problem 4 :

The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y.

Solution

Problem 5 :

If the mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the mean of the last three observation is.

Solution

Problem 6 :

The mean of the following frequency distribution is 25.2. Find the missing frequency x.

Solution

Problem 7 :

Find the missing frequency: mean = 50, Total frequency = 120.

Solution

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 mean of the numbers.

Problem 1 :

2, 4, 1, 0, 1, and 1

Solution

Problem 2 :

$270, $310.50, $243.75, and $252,15

Solution

Problem 3 :

Each workday last week, Yoshie kept track of the number of minutes she had to wait for the bus. She waited 3, 0, 8,1 and 8 minutes. Find the mean.

Solution

Problem 4 :

In the last three months, Raul’s water bills were $31.45, $48.76, and $42. 60. Find the mean.

Solution

Find the Median of a Set of Numbers.

Problem 5 :

41, 45, 32, 60, 58

Solution

Problem 6 :

25, 23, 24, 26, 29, 19, 18, 32

Solution

Problem 7 :

The ages of the eight men in Jerry’s model train club are 52, 63, 45, 51, 55, 75, 60, and 59. Find the median age.

Solution

Problem 8 :

The number of clients at Miranda’s beauty salon each weekday last week were 18, 7, 12, 16, and 20. Find the median number of clients.

Solution

Find the Mode of a Set of Numbers.

Problem 9 :

6, 4, 4, 5, 6, 6, 4, 4. 4, 3, 5

Solution

Problem 10 :

The number of siblings of a group of students :

2, 0, 3, 2, 4, 1, 6, 5, 4. 1, 2, 3

Solution

Find the value of x.

Problem 11 :

Mean is 6; 2, 8, 9, 7, 6, x

Solution

Problem 12 :

Median is 14; 9, 10, 12, x, 20, 25

Solution

Problem 13 :

Mean is 0; 11.5, 12.5, −10, −7.5, x

Solution

Problem 14 :

Median is 51; 30, 45, x, 100

Solution