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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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Questions & Answers

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
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Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
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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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