Random
Types of Distributions
Name that Distribution
Steps for Standard Deviation
Meaning and Calculating Standard Deviation
100

The way data is spread out or arranged.

Distribution

100

A distribution that looks balanced on both sides

Symmetric Distribution

100

Data Points: 1, 2, 2, 2, 3, 15

Skewed right

100

This measures how far data values tend to be from the mean

Standard Deviation

100

Mean = 70

Standard Deviation = 5

What number is 2 standard deviations above the mean?

80

200

The average of a data set.

Mean

200

A distribution with a longer tail on one side

Skewed Distribution

200

Data Points:  40, 42, 44, 45, 46, 48, 50

Symmetric/Bell-Shaped distribution

200

When standard deviation  is ___________ , 

  • Data values are close to the mean

  • Less spread

  • More consistency

Small

200

Mean = 64

Standard Deviation = 7

What number is 2 standard deviations below the mean?

50
300

The middle value of a data set.

Median

300
This term creates the tail in a skewed distribution

Outlier

300

Data Points: 1, 1, 2, 3, 4, 12

Skewed Right

300

When standard deviation is ____________,

  • Data values are far from the mean

  • Greater spread

  • Less consistency

Large

300

In a bell-shaped distribution, this % of the data is found within 2 standard devaitions of the mean.

95%

400

How spread out the data values are

Variability

400

If the outlier is bigger than the rest of the data set, it is ____________. 

If the outlier is smaller than the rest of the data set, it is ____________. 

Skewed right, Skewed left

400

What type of distribution is characterized by Mean = Median. 

Bell-shaped distribution.

400

Standard Deviation uses this to measure spread.

Squared distances

400

In a bell-shaped distribution, this % of the data is found within 3 standard devaitions of the mean.

99.7%

500

When dealing with sampling distributions, the letter n represents this.

What is the sample size?

500

A symmetric distribution with one center peak

Bell shaped distribution

500

What is the difference between a symmetric distribution and a bell-shaped distribution?

Symmetric distributions can have 2 peaks.

Bell-shaped distributions always have 1 center peak.

500

What are the 5 steps for standard deviation?

1. Mean

2. Deviation

3. Square Deviations

4. Find Variance (Average squared deviations)

5.  Find Standard Deviation (Sqrt of the Variance)

500

Mean: 55

Standard Deviation: 5

Find the values at each point on a bell curve :

-3 SD:?   -2 SD:?   -1 SD:?   Mean:?   +1 SD:?   +2 SD:?    +3 SD:?        

-3 SD:40   -2 SD:45   -1 SD:50   Mean:55  +1 SD:60  +2 SD:65  +3 SD:70