Facts

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 area below 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)

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 area 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)

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 area 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)

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 is this.

What is 1?

400

The area 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 of a z-score distribution is always equal to ____, and the standard deviation is always equal to ____.

What is 0 and 1?

500

The area that coincides with |z| > 1.25.

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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