Z scores!
A z-score measures how many _______ _______ a data point is from the mean of a dataset.
standard deviations
The area under any uniform distribution is what?
1
What 3 values are used to calculate data in relation to the Empirical Rule?
68-95-99.7
If my z-score is -1.08, what value would Table A give me?
0.1401
What is the capital of France?
Paris
If a dataset has a mean of 50 and a standard deviation of 5, what is the z-score for a data point of 60?
The z score is 2
Looking at number 4 on the board, what percent of the data is greater than 2 and less than 5?
60%
What percent of data lies between + 2 standard deviations and + 3 standard deviations?
2.35%
If the area under a normal distribution is 0.8508, that means my z-score is what?
The z-score is 1.04
What is the largest planet in our solar system?
Jupiter
If the z-score for a data point is 0, what can you conclude about that data point?
It is the mean!
Looking at number 7 on the board, what percent of the data is greater than 3?
25%
X is a normally distributed random variable with mean 9 and standard deviation 2.
What is the probability that x is between 5 and 11?
Use the Empirical Rule
81.5%
X is a normally distributed random variable, given a mean of 43 and a standard deviation of 19.
What is the probability that x is less than 76?
Give the answer as a decimal rounded to the nearest thousandth
(use table A)
0.959
What is the smallest prime number?
2
If a data point has a z-score of 2, a mean of 50, and the value of the data point is 70, what is the standard deviation of the dataset
The standard deviation is 10
Looking at number 5 on the board, what percent of the data is less than 2?
20%
X is a normally distributed random variable with mean 21 and standard deviation 11.
What is the probability that x is between 32 and 54?
Use the Empirical Rule
15.85%
X is a normally distributed random variable, given a mean of 32 and a standard deviation of 9.
What is the probability that x is greater than 25?
Give the answer as a decimal rounded to the nearest thousandth
(use table A)
0.782
1 - 0.2177 = 0.7823
What element has the chemical symbol "Pb"?
Lead
In a dataset with a mean of 100 and a standard deviation of 15, what is the test score corresponding to a z-score of -2?
The test score is 70
Looking at number 1 on the board, what percent of the data is greater than 6?
62.5%
X is a normally distributed random variable with mean 17 and standard deviation 7.
What is the probability that x is between -4 and 24?
Use the Empirical Rule
83.85%
X is a normally distributed random variable, given a mean of 8 and a standard deviation of 16.
What is the probability that x is between 18 and 21?
Give the answer as a decimal rounded to the nearest thousandth
(use table A)
0.055
0.7910 - 0.7357 = 0.0553
In which year did the Titanic sink during its maiden voyage?
1912