Show:
Characteristics
Z-Scores and Probability
Above/Below
Probability Between Two Values
Chapters 1+2: Experiments and Descriptive Statistics
Miscellaneous
100
The shape of the graph of a normal distribution is this.
What is bell-shaped?
100

A normal distribution has a mean of 7 and a standard deviation of 2.5. The z–score for a raw score of 10 is this.

What is 1.2?

100

What is the area between z=0 and z=2? 

(Hint: Use the empirical rule)

34% (half of 68%)

100

Find the mode and range:

3, 4, 7, 5, 1, 8, 8, 9, 5, 4, 4, 6

Mode = 4

Range = 9-1=8

100

What is the area to the left of z=-1.26?

0.1038 or 10.38%

200
This measure of central tendency of a normal distribution represents the highest point on the curve
What is the mean?
200

A normal distribution has a mean of 8 and a standard deviation of 2. The value that is 2 standard deviations above the mean is this.

What is 12?

200
The percentage of the data of a distribution that lies between a z–score of 0 and –1.38 is this.
What is (.5 – .0838 = .4162 = 41.62%)?
200

Find the mean and median.

3, 4, 7, 5, 1, 8, 8, 9, 5, 4, 4, 6

Mean= 64/12=5.33

Median=5

200

What is the area between z=-1 and z=2?

0.9772 - 0.1587 = 0.8185 or 81.85%

300

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

What is 68–95–99.7%?

300

A normal distribution has a mean of 15 and a standard deviation of 3. The value that is 3 SDs below the mean is this.

What is 6?

300
A normal distribution has a mean of 10 and a standard deviation of 1. The percentage of data values that fall between the values of 8 and 12 is this.
What is 95%?
300

Which box plot has a median above 3500?

What about the lowest median?

Highest=C

Lowest=A

300

Label a normal curve up to 3 SDs away from the mean, where mean=37 and SD=2.5

Values should be:

29.5, 32, 34.5, 37, 39.5, 42, 44.5

400

What does a z-score represent?

What is the number of standard deviations a value is either above or below the mean

400
A normal distribution has a mean of 84 and a standard deviation of 4. The percentage of the data of this distribution that falls below 78 is this.
What is 6.68%?
400
A normal distribution has a mean of 24 and a standard deviation of 6. 68% of the values of this distribution fall between what two data values?
What is 18 and 30?
400

Identify the population and sample. 

Kelly wants to know the average height of people at her school. Out of 600 students, she surveys 60 of them and records the data.

Population: All 600 People at Kelly's School

Sample: 60 people that were surveyed

400

What is the difference in temperature between the temperature at 11:30am and at 4pm? 

9 degrees and 16 degrees

The difference is 7 degrees.

500
The total area under the curve of a normal distribution is this.
What is one?
500

A normal distribution has a mean of 50 and a standard deviation of 6. The percentage of the data of this distribution that falls above 61 is this.

What is (1–0.9664) = (0.0336) x 100 = 3.36%?

500
A normal distribution has a mean of 100 and a standard deviation of 10. The percentage of data values that fall between the values of 70 and 90 is this.
What is 15.85?
500

When we add the four values: 4, 5, 5, 6 what happens to the SD of the data set? What happens to the peak in the middle? (Do they go up or down?)

3, 4, 7, 5, 1, 8, 8, 9, 5, 4, 4, 6

SD or spread: SD/Spread decreases since there are more values near the mean

Peak: Higher, since there are more values near the mean

500

On a test, mean=70 and SD=5. Put the student's grades in order from least to greatest.

Student A: 1 SD above mean

Student B: Raw score = 78

Student C: Z-score=0.5

C= 72.5

A= 75

B= 78