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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

it is the relatively stable flow of income
Chidubem Reply
what is circular flow of income
Divine Reply
branches of macroeconomics
SHEDRACK Reply
what is Flexible exchang rate?
poudel Reply
is gdp a reliable measurement of wealth
Atega Reply
introduction to econometrics
Husseini Reply
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hey
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hi
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hello
Jahara
Good morning
Jorge
hi
abubakar
hi
Nmesoma
hi
Mahesh
Hi
Tom
Why is unemployment rate never zero at full employment?
Priyanka Reply
bcoz of existence of frictional unemployment in our economy.
Umashankar
what is flexible exchang rate?
poudel
due to existence of the pple with disabilities
Abdulraufu
the demand of a good rises, causing the demand for another good to fall
Rushawn Reply
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost 6% more than previous year? Provide with reasoning.
Geetha Reply
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Waeth
discus major problems of macroeconomics
Alii Reply
what is the problem of macroeconomics
Yoal
Economic growth Stable prices and low unemployment
Ephraim
explain inflationcause and itis degre
Miresa Reply
what is inflation
Getu
increase in general price levels
WEETO
Good day How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200. Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
Chisomo Reply
how to calculate actual output?
Chisomo
how to calculate the equilibrium income
Beshir
Criteria for determining money supply
Thapase Reply
who we can define macroeconomics in one line
Muhammad
Aggregate demand
Mohammed
C=k100 +9y and i=k50.calculate the equilibrium level of output
Mercy Reply
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money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9 no Mpc is greater than 1 Y=100+.9Y+50 Y-.9Y=150 0.1Y/0.1=150/0.1 Y=1500
Kalombe
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Kalombe
hi can someone help me on this question If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output? discuss your answer using appropriate graph.
Galge Reply
if interest rate is increased this will will reduce the level of income shifting the curve to the left ◀️
Kalombe
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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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