# FIND THE MEAN OF THE GIVEN DATA

What is a Mean ?

The arithmetic mean of a given data is the sum of all observations divided by the number of observations.

Mean  =  (Sum of all observations)/Number of observations

Problem 1 :

12.45, 12.99, 10.50, 11.25, 9.99, 12.72

Solution :

Mean = sum of all observations / number of observations

Here, n = 6

= (12.45 + 12.99 + 10.50 + 11.25 + 9.99 + 12.72) / 6

= (69.9) / 6

Mean = 11.65

Problem 2 :

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

Solution :

Mean = sum of all observations / number of observations

Here, n = 8

= (28.8 + 32.9 + 32.5 + 27.9 + 30.4 + 32.5 + 31.6 + 32.7)

= (249.3) / 8

= 31.16

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 :

Mean = sum of all amount / number of girls

Here, n = 4

= (0 + 14.95 + 35.25 + 25.16) / 4

= 75.36 / 4

Mean = 18.84

She spent the money on average is \$18.84.

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 :

Mean = sum of all shirt cost / number of shirts

Here, n = 5

= (32.95 + 38.50 + 30.00 + 17.45 + 24.25) / 5

= (143.15) / 5

= 28.63

The average cost is \$28.63.

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 :

Mean = sum of all days / total no of days

Here, n = 6

= (21 + 18 + 16 + 19 + 24 + 19) / 6

= (117)/6

= 19.5

The average number of minutes is 19.5.

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:

Mean = sum of all book cost / number of books

Here, n = 6

= (74.28 +120.95 + 52.40 + 10.59 + 35.89 + 59.24) / 6

=353.35 / 6

= 58.89

The average cost is \$58.89.

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 :

Mean = sum of all batting averages / number of averages

Here, n = 8

= (.373 + .360 + .321, 321 + .320 + .312 + .311 + .311) / 8

= 2.629 / 8

= 0.328

The average of the batting  is 0.338.

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 :

Mean = sum of all period / number inches

Here, n = 6

= (60.3 + 79.7 + 50.9 + 28.0 + 47.4 + 46.1) / 6

= 312.4 / 6

= 52.06

The average of snowfall is 52.06 inches.

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