Facts
Z-Scores
Percentiles Z
X-Values
Percentiles X
100

In a Normal Model, 50% of the data falls below this.

What is the mean?

100

The percentile of z = 1.15

What is .8749?

100
25% of the data in a normal model are below this z-score.
What is z = -0.67?
100

A normal model has a mean = 230 and a standard deviation = 15. Find the following: P(x < 210): the percent chance a data value is less than 210.

What is .0918?

100

A normal distribution has a mean = 17.1 and a standard deviation = 4. This x value represents cutoff for the bottom 10%.

What is 11.98?

200

The shape of the Normal Model is this.

What is a bell-curve. OR Symmetric and Unimodal.

200

The percent of data above z=0.32

What is .3745?

200
72% of data in a normal model fall below this z-score.
What is z=0.58?
200

A normal model has a mean = 135 and a standard deviation = 10.4. Find the following : P(x > 146): the percent chance a data value is greater than 146.

What is 0.1446?

200

A normal model has a mean = 11.4 and a standard deviation = 3. This x value represents the values above the top 10%.

What is 15.24?

300

These percentages roughly represent the percent of the data values that fall within one, two, and three standard deviations from the mean of a normal distribution.

What is 68% - 95% - 99.7%?

300

The percent of data above z = -2.81

What is .9975?

300
93% of data in a normal model fall above this z-score.
What is z=-1.48?
300

A normal model has a mean = 86 and a standard deviation = 5. Find the following: P(85 < x < 95): the percent chance a data value is between 85 and 95.

What is 0.5434?

300
The mean math SAT score is 511 with a standard deviation of 120, and follows a normal model. This SAT score separates the top 2% from the rest of the data.
What is 757?
400

The total area under the curve of a normal distribution represents this percent of the data.

What is 100%?

400

The percent of data between z = -1.00 and z = 0.50.

What is .5328?

400
The middle 70% of data in a normal model fall between which z-scores?
What are z = -1.04 and z = 1.04?
400

The mean number of Coney Island hot dogs that Mike can eat in one sitting is 5.8 with a standard deviation of 1.1, and follows a normal model. This is the probability he eats more than 8 hot dogs.

What is .0228?

400
The mean math SAT score is 511 with a standard deviation of 120 and follows a normal model. 90% of students should fall between these scores. (Round to the nearest whole number).
What are 314 and 708?
500

The mean in the Standard Normal Model is always equal to ____, and the standard deviation is always equal to ____.

What is 0 and 1?

500

The percent of data within 1.25 standard deviations of data. 

What is .2113?

500
In a normal model, this z-score is also Q3.
What is z = 0.67?
500

In 2015, the mean math SAT score was a 511 with a SD of 120, and follows a normal model. This is the probability of scoring between a 720 and a 780.

What is .0283?

500
Again, the mean math SAT score is 511 with a standard deviation of 120, and follows a normal model. These values represent Q1, Median, and Q3. (Round to the nearest whole value).
What are 430, 511, and 592?
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