Jeopardy $100 Histograms Normal Distribution Z-Scores Confidence Intervals $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400.

Jeopardy

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HistogramsNormal

DistributionZ-Scores

ConfidenceIntervals

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Final JeopardyFinal Jeopardy

1 - $1001 - $100 A histogram displays this type of informationA histogram displays this type of information

Quantitative/NumericalQuantitative/Numerical

1 - $2001 - $200 This is an appropriate bin width for a data This is an appropriate bin width for a data

set referring to moneyset referring to money

2020

1 - $3001 - $300 The graph if frequency distribution The graph if frequency distribution

produced by joining the midpoints of produced by joining the midpoints of intervals in known as what?intervals in known as what?

Frequency PolygonFrequency Polygon

1 - $4001 - $400 Which year had the most severe Which year had the most severe

earthquakes?earthquakes?

20082008

1 - $5001 - $500 Given the following frequency table, draw the Given the following frequency table, draw the

histogram. Bonus 100 pts: What is the shape?histogram. Bonus 100 pts: What is the shape?

Left SkewedLeft Skewed

ScoresFrequency

30-40 2

40-50 5

50-60 10

60-70 16

70-80 12

2 - $1002 - $100 This rule applies to the percentages of This rule applies to the percentages of

data within various standard deviations of data within various standard deviations of a normal distribution.a normal distribution.

68-95-99.7 Rule68-95-99.7 Rule

2 - $2002 - $200 Normal Distributions are referred to in Normal Distributions are referred to in

terms of these measurements.terms of these measurements.

Mean, Mean, μμ, and standard deviation, , and standard deviation, σσ

2 - $3002 - $300 Describe the shapes of these density Describe the shapes of these density

curves.curves.

A: Skewed right, B: Bi-modal, C: UniformA: Skewed right, B: Bi-modal, C: Uniform

2 - $4002 - $400

No, does not follow 68-95-99.7 RuleNo, does not follow 68-95-99.7 Rule

Bin Width Frequency

0-10 15

10-20 32

20-30 76

30-40 90

40-50 79

50-60 29

60-70 13

DAILY DOUBLE 2 - $500DAILY DOUBLE 2 - $500 The length of beetles follows a normal The length of beetles follows a normal

distribution with an average length of distribution with an average length of 2.526mm and standard deviation 0.482. What 2.526mm and standard deviation 0.482. What percentage of beetles have a length less than percentage of beetles have a length less than 3.008mm?3.008mm?

84%84%

3 - $1003 - $100 What does a z-score indicate?What does a z-score indicate?

The position of an individual in a data set The position of an individual in a data set on a standard normal distribution relative on a standard normal distribution relative to the mean.to the mean.

3 - $2003 - $200 State the formula to find the z-score for an State the formula to find the z-score for an

individual in a data set that follows a individual in a data set that follows a normal distributionnormal distribution

3 - $3003 - $300

0.2020.202

3 - $4003 - $400

0.84710.8471

3 - $5003 - $500 The sales at McDonald’s between 12am The sales at McDonald’s between 12am

and 5am follow a normal distribution, with and 5am follow a normal distribution, with an average sale of $6.23, and standard an average sale of $6.23, and standard deviation $0.75. What percentage of deviation $0.75. What percentage of customers spend more than $5.00?customers spend more than $5.00?

95.73%95.73%

4 - $1004 - $100 The likelihood that the result for the true The likelihood that the result for the true

population lies within a given range is population lies within a given range is what?what?

Confidence LevelConfidence Level

4 - $2004 - $200 As we increase the sample size these As we increase the sample size these

decrease.decrease.

Margin of Error and Confidence IntervalMargin of Error and Confidence Interval

4 - $3004 - $300 A recent report indicated that Canadians A recent report indicated that Canadians

spend an average of 18.1 hours/week online. spend an average of 18.1 hours/week online. The results were accurate within 3.38 hours, The results were accurate within 3.38 hours, 19 times out of 20. What is the confidence 19 times out of 20. What is the confidence interval and confidence level?interval and confidence level?

4 - $4004 - $400 A recent survey found that 82% of the sample A recent survey found that 82% of the sample

population drove to work each day, accurate population drove to work each day, accurate within 5.2% 9 out of 10 times. If the target within 5.2% 9 out of 10 times. If the target population is 124’000, what would the population is 124’000, what would the confidence interval be?confidence interval be?

4 - $5004 - $500 Recent survey on recycling within a Recent survey on recycling within a

municipality indicated that a target population municipality indicated that a target population of 52’000 had between 40092 to 42068 of 52’000 had between 40092 to 42068 individuals recycling regularly. What was the individuals recycling regularly. What was the confidence interval and margin of error for the confidence interval and margin of error for the sample population? sample population?

5 - $1005 - $100 Find the measures of central tendency for Find the measures of central tendency for

this data set:this data set:

5, 7, 7, 8, 9, 10, 10, 10, 11, 12, 13, 165, 7, 7, 8, 9, 10, 10, 10, 11, 12, 13, 16

Mean: 9.8Mean: 9.8 Median: 10Median: 10 Mode: 10Mode: 10

5 - $2005 - $200 This measure is strongly affected by This measure is strongly affected by

outliersoutliers

MeanMean

5 - $3005 - $300 If you are given the sum of the squares of If you are given the sum of the squares of

the deviations in a data set, what are the the deviations in a data set, what are the next steps in finding the standard next steps in finding the standard deviation?deviation?

Divide by sample size, n, take the square Divide by sample size, n, take the square root.root.

5 - $4005 - $400 Calculate the standard deviation of this Calculate the standard deviation of this

data setdata set

20, 26, 25, 24, 31, 38, 36, 34, 33, 27, 32, 35, 20, 26, 25, 24, 31, 38, 36, 34, 33, 27, 32, 35, 25, 38, 19, 37, 24, 4025, 38, 19, 37, 24, 40

5 - $5005 - $500 Find the standard deviation from the Find the standard deviation from the

following frequency tablefollowing frequency table

σσ = = 12.0212.02

Score Frequency Score Frequency

101-105 1 131-135 11

106-110 3 136-140 8

111-115 4 141-145 4

116-120 7 146-150 5

121-125 9 151-155 3

126-130 14 156-160 1

Final JeopardyFinal Jeopardy Given the two normally distributed data sets Given the two normally distributed data sets

below for the prices of homes in each city, below for the prices of homes in each city, which house has a greater relative value: one which house has a greater relative value: one sold in Edmonton for $392 000 or one sold in sold in Edmonton for $392 000 or one sold in Calgary for $417 000?Calgary for $417 000?

Edmonton, because the z-score is higher Edmonton, because the z-score is higher than that for Calgarythan that for Calgary

City Mean, μ Standard Dev. σ

Edmonton 375 000 75 000

Calgary 415 000 80 000