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A bowl of Halloween candy contains 5 chocolate candies and 3 lemon candies. Tanya will choose one piece of candy at random. Find the probability Tanya will choose a chocolate candy. Convert the fraction to a decimal.

  1. 5 8
  2. 0.625

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Dan has 2 pairs of black socks and 6 pairs of blue socks. He will choose one pair at random to wear tomorrow. Find the probability Dan will choose a pair of black socks Convert the fraction to a decimal.

  1. 2 8
  2. 0.25

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Key concepts

  • Calculate the mean of a set of numbers.
    1. Write the formula for the mean mean = sum of values in data set n
    2. Find the sum of all the values in the set. Write the sum in the numerator.
    3. Count the number, n, of values in the set. Write this number in the denominator.
    4. Simplify the fraction.
    5. Check to see that the mean is reasonable. It should be greater than the least number and less than the greatest number in the set.
  • Find the median of a set of numbers.
    1. List the numbers from least to greatest.
    2. Count how many numbers are in the set. Call this n .
    3. Is n odd or even?
      If n is an odd number, the median is the middle value.
      If n is an even number, the median is the mean of the two middle values
  • Identify the mode of a set of numbers.
    1. List the data values in numerical order.
    2. Count the number of times each value appears.
    3. The mode is the value with the highest frequency.

Practice makes perfect

Calculate the Mean of a Set of Numbers

In the following exercises, find the mean.

65 , 13 , 48 , 32 , 19 , 33

35

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34 , 45 , 29 , 61 , and 41

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202 , 241 , 265 , 274

245.5

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12.45 , 12.99 , 10.50 , 11.25 , 9.99 , 12.72

11.65

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

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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.

$18.84

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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.

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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.

19.5 minutes

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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.

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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.

0.329

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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.

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Find the Median of a Set of Numbers

In the following exercises, find the median.

24 , 19 , 18 , 29 , 21

21

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65 , 56 , 35 , 34 , 44 , 39 , 55 , 52 , 45

45

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

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

4.5

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

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99.2 , 101.9 , 98.6 , 99.5 , 100.8 , 99.8

99.65

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

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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.

$6.50

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Practice Key Terms 3

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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