Variation and Tendency
Normal Distribution
Z-Scores
Margin of Errors
Interesting Factoids
100
How are Sample Variance and Standard Deviation Related?
What is, Standard Deviation is the square root of the Variance?
100
A normal distribution diagram is known by this name due to its shape.
What is a Bell Curve?
100
State the name of the symbols representing the mean and standard deviation of an entire population.
What are Mu mu and Sigma sigma respectively.
100
State the name of the term which determines how certain we are of the estimated value.
What is the confidence interval?
100
Raven, Starfire, and Beast Boy are members of this team.
What are The Teen Titans?
200
What are the Measures of Central Tendency?
*Include Range as it is also important.*
What are: Mean, Median, Mode, and Range.
200
In a Normal Distribution data plot, how much of the data lies within two Standard Deviations?
What is 95%?
200
Determine the standard deviation given that the mean is 30 and the z-score for a data value of 13 is -2.
What is 8.5?
(13-30)/sigma=-2
200
Given the Mean of data is 5.36 with a Standard Deviation of 1.83 out of a population of 50, set up the equation for Margin of Error.
What is MoE=1.96*(1.83/sqrt50)?
200
Caffeine does not give you energy, instead it blocks this chemical that makes you feel tired.
What is, Adenosine?
300
Nahla is a student in Physics. Her total grade is dependent upon four grade intervals. If her first three assessments are a 92%, 76%, and 94%, find what she must make on the final to pass with at least a 70%.
What is a 18%
\frac{92+76+94+x}{4}=70
300
In an airplane waiting line, the mean wait time is 102 minutes with a Standard Deviation of 18 minutes. Determine the percent of people who will wait in line for less than two hours.
What is 84%?
2 hours is one Sx above barx.
300
Suppose there are 72 stores in a chain of Deer Grunt producers. The gross sales in October of these stores average $69,112 with a standard deviation of $4,830. Determine the percentage of stores that make between $31,500 and $67,904 in October.
What is about 40.1%?
normaldist(69112,4830)
min: 31500 max:67904
300
Given a 280 out of 530 people in Walmart like red meat over fish, a Sample Proportion of 53% and a Margin of Error of 4%, find between what amount of people are we confident would choose red meat if asked.
What is between 260 and 302 people.
95% CI: 53+-4 to 49% and 57% \"so" \ 530*0.49 and 530*0.57
300
Taxing your brain as soon as you wake up is not good as it actually takes this long to reach peak cognitive performance.
What is 2-4 hours?
400
Find all measures of Central Tendency and Variation (Including Range) of the following data.
8, 14, 10, 4, 3, 11, 10, 3, 8, 9, 4, 7, 9, 5, 4
What are
Mean: 7.3
Median: 8
Mode: 4
Range: 11
Variance: 11.1
Standard Deviation: 3.3?
400
On a given test in Math 2, a score of 61 is 3 standard deviations above the mean, and a score of 23 is 2 standard deviations below the mean. Determine the mean of this data.
What is a 38.2? This is based on real data from a previous class.
23+5*S_x=61 \to S_x=7.6
23+2(7.6)=barx \to barx=38.2
400
Double Jeopardy
Find all measures of Central Tendency, Variance, Margin of Error, and 95% confidence interval of the following data. Round all to the thousandths place where necessary.
63.2, 62.1, 79.4, 66.3, 61.2, 61.4, 68.3, 86.2, 71.4, 85.5, 64.2, 73.4,
84.6, 81.8, 75.2, 74.5, 74.5, 83.6, 82.2, 64.3, 63.6, 60.1, 81.3, 74.1,
78.4, 63.6, 54.1, 71.6, 72.4, 75.6, 59.3, 72.7, 59.6, 47.6, 71.8, 68.1
What are (the following)?
Mean: 70.478
Median: 71.7
Mode: 63.6 and 74.5
Range: 38.6
Variance: 89.111
Standard Deviation: 9.440
Margin of Error: 3.084
Confidence Interval: 67.394 to 73.562
400
In a survey of 43 students, 31 of them preferred playing PlayStation to playing Xbox. Find the sample proportion, margin of error, and 95% confidence interval for the population proportion.
What are
hatp: \ 31/43approx0.72093approx72.1%
MoE: 1.96*sqrt((0.72093*(1-0.72093))/43)approx0.134068approx13.4%
CI: 72.1+-13.4=58.7% \ "to" \ 85.5%
400
Compared to typing, this note-taking method leads to better long-term memory retention.
What ism handwritten note-taking?
500
State the formula to find Sample Variance.
What is S^2=(sum(x-barx)^2)/{n-1}?
500
In America, women have an average height of 5 feet and 3.5 inches, with a standard deviation of 2.5 inches. Find the approximate percent of women who are between 68.6 and 71.1 inches.
What is 2.35%
This is between the second and third Standard Deviation.
500
The average score for the End of Course Test in Math 3 is a 73 with a standard deviation of 11 points. Determine the minimum score you need to make in order to place in the top 5% of students.
What is at least a 91.1?
inversecdf(normaldist(73,11),1-0.05) approx91.093
500
The following data set is composed of the daily high temperature in February for Mount Airy, NC.
50, 48, 47, 49, 55, 58, 61, 56, 54, 50, 47, 46, 48, 53, 56, 59, 63, 64, 61, 57, 54, 51, 49, 53, 55, 59, 62, 60.
What is the confidence interval for a 95% confidence level of the high temperature of a day in February?
What is between 52.5 and 56.5 degrees?
Mean: 54.5 Sx: 5.4
MoE: 1.96*5.4/sqrt28approx2
Confidence Interval: 54.5-2lexle54.5+2
500
Music without this element improves concentration.
What are lyrics?