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

1 - $100  A histogram displays this type of information  Quantitative/Numerical

1 - $200 This is an appropriate bin width for a data set referring to money This is an appropriate bin width for a data set referring to money 20 20

1 - $300 The graph if frequency distribution produced by joining the midpoints of intervals in known as what? The graph if frequency distribution produced by joining the midpoints of intervals in known as what? Frequency Polygon Frequency Polygon

1 - $400 Which year had the most severe earthquakes? Which year had the most severe earthquakes?

1 - $500 Given the following frequency table, draw the histogram. Bonus 100 pts: What is the shape? Given the following frequency table, draw the histogram. Bonus 100 pts: What is the shape? Left Skewed Left Skewed ScoresFrequency

2 - $100 This rule applies to the percentages of data within various standard deviations of a normal distribution. This rule applies to the percentages of data within various standard deviations of a normal distribution Rule Rule

2 - $200 Normal Distributions are referred to in terms of these measurements. Normal Distributions are referred to in terms of these measurements. Mean, μ, and standard deviation, σ Mean, μ, and standard deviation, σ

2 - $300 Describe the shapes of these density curves. Describe the shapes of these density curves. A: Skewed right, B: Bi-modal, C: Uniform A: Skewed right, B: Bi-modal, C: Uniform

2 - $400 No, does not follow Rule No, does not follow Rule Bin WidthFrequency

DAILY DOUBLE 2 - $500 The length of beetles follows a normal distribution with an average length of 2.526mm and standard deviation What percentage of beetles have a length less than 3.008mm? The length of beetles follows a normal distribution with an average length of 2.526mm and standard deviation What percentage of beetles have a length less than 3.008mm? 84% 84%

3 - $100 What does a z-score indicate? What does a z-score indicate? The position of an individual in a data set on a standard normal distribution relative to the mean. The position of an individual in a data set on a standard normal distribution relative to the mean.

3 - $200 State the formula to find the z-score for an individual in a data set that follows a normal distribution State the formula to find the z-score for an individual in a data set that follows a normal distribution

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3 - $500 The sales at McDonald’s between 12am and 5am follow a normal distribution, with an average sale of $6.23, and standard deviation $0.75. What percentage of customers spend more than $5.00? The sales at McDonald’s between 12am and 5am follow a normal distribution, with an average sale of $6.23, and standard deviation $0.75. What percentage of customers spend more than $5.00? 95.73% 95.73%

4 - $100 The likelihood that the result for the true population lies within a given range is what? The likelihood that the result for the true population lies within a given range is what? Confidence Level Confidence Level

4 - $200 As we increase the sample size these decrease. As we increase the sample size these decrease. Margin of Error and Confidence Interval Margin of Error and Confidence Interval

4 - $300 A recent report indicated that Canadians spend an average of 18.1 hours/week online. The results were accurate within 3.38 hours, 19 times out of 20. What is the confidence interval and confidence level? A recent report indicated that Canadians spend an average of 18.1 hours/week online. The results were accurate within 3.38 hours, 19 times out of 20. What is the confidence interval and confidence level?

4 - $400 A recent survey found that 82% of the sample population drove to work each day, accurate within 5.2% 9 out of 10 times. If the target population is 124’000, what would the confidence interval be? A recent survey found that 82% of the sample population drove to work each day, accurate within 5.2% 9 out of 10 times. If the target population is 124’000, what would the confidence interval be?

4 - $500 Recent survey on recycling within a municipality indicated that a target population of 52’000 had between to individuals recycling regularly. What was the confidence interval and margin of error for the sample population? Recent survey on recycling within a municipality indicated that a target population of 52’000 had between to individuals recycling regularly. What was the confidence interval and margin of error for the sample population?

5 - $100 Find the measures of central tendency for this data set: Find the measures of central tendency for this data set: 5, 7, 7, 8, 9, 10, 10, 10, 11, 12, 13, 16 Mean: 9.8 Mean: 9.8 Median: 10 Median: 10 Mode: 10 Mode: 10

5 - $200 This measure is strongly affected by outliers This measure is strongly affected by outliers Mean Mean

5 - $300 If you are given the sum of the squares of the deviations in a data set, what are the next steps in finding the standard deviation? If you are given the sum of the squares of the deviations in a data set, what are the next steps in finding the standard deviation? Divide by sample size, n, take the square root. Divide by sample size, n, take the square root.

5 - $400 Calculate the standard deviation of this data set Calculate the standard deviation of this data set 20, 26, 25, 24, 31, 38, 36, 34, 33, 27, 32, 35, 25, 38, 19, 37, 24, 40

5 - $500 Find the standard deviation from the following frequency table Find the standard deviation from the following frequency table σ = σ = ScoreFrequencyScoreFrequency

Final Jeopardy Given the two normally distributed data sets below for the prices of homes in each city, which house has a greater relative value: one sold in Edmonton for $ or one sold in Calgary for $ ? Given the two normally distributed data sets below for the prices of homes in each city, which house has a greater relative value: one sold in Edmonton for $ or one sold in Calgary for $ ? Edmonton, because the z-score is higher than that for Calgary Edmonton, because the z-score is higher than that for Calgary City Mean, μStandard Dev. σ Edmonton Calgary