# Study sets matching "normal curve"

What are the characteristics of a norma…

What is the proportion of area under th…

What is a Z-score?

How do you calculate a Z-score?

1. Curve is belle-shaped & symmetrical... 2. Mean, mdn, mode are…

Know how to calculate.

turn raw scores into standardized scores. We describe a single…

Sample data: Xi - Mean divided by SDsample... Population: Xi - M…

What are the characteristics of a norma…

1. Curve is belle-shaped & symmetrical... 2. Mean, mdn, mode are…

What is the proportion of area under th…

Know how to calculate.

What is characteristic of the normal cu…

Inflection points

Empirical Rule

What information does the z score suppl…

The mean, median, and mode are all in the same place

Where the graph appears to change directions

68% within one sd, 95% within two, 99.7% within three

How many standard deviations an x-value is from the mean

What is characteristic of the normal cu…

The mean, median, and mode are all in the same place

Inflection points

Where the graph appears to change directions

normal curve- primary

normal curve- secondary

abnormal curve- kyphosis

abnormal curve- lordosis

thoracic- upper back... sacral- pelvic area

cervical- neck area... lumbar- lower back

thoracic

lumbar sticks in

normal curve- primary

thoracic- upper back... sacral- pelvic area

normal curve- secondary

cervical- neck area... lumbar- lower back

Statistical inference

Normal distr.

Central limit theorem

Z-score

using descriptive summaries as basis for making estimates of u…

(normal curve) good approximation of distribution of scores fo…

regardless of original shape of distr., the sampling distr. of…

# of standard deviations from mean... (standardized score that ad…

Statistical inference

using descriptive summaries as basis for making estimates of u…

Normal distr.

(normal curve) good approximation of distribution of scores fo…

Statistical inference

Normal distr.

Central limit theorem

Z-score

using descriptive summaries as basis for making estimates of u…

(normal curve) good approximation of distribution of scores fo…

regardless of original shape of distr., the sampling distr. of…

# of standard deviations from mean... (standardized score that ad…

Statistical inference

using descriptive summaries as basis for making estimates of u…

Normal distr.

(normal curve) good approximation of distribution of scores fo…

distribution of many continuous variabl…

the shape and position of the normal di…

spread of normal distribution is contro…

characteristics of normal distribution

normally distributed variables or bell curve or Gaussian distr…

1- mean ... 2- standard deviation

standard deviation

1- normal distribution curve is bell shape ... 2- mean , median ,…

distribution of many continuous variabl…

normally distributed variables or bell curve or Gaussian distr…

the shape and position of the normal di…

1- mean ... 2- standard deviation

Normal Distribution Curve

Positively Skewed Distribution Curve

Negatively Skewed Distribution Curve

Standard Deviation

shows how spread data is from the mean using a normal distribu…

Normal Distribution Curve

Positively Skewed Distribution Curve

Statistical inference

Normal distr.

Central limit theorem

Z-score

using descriptive summaries as basis for making estimates of u…

(normal curve) good approximation of distribution of scores fo…

regardless of original shape of distr., the sampling distr. of…

# of standard deviations from mean... (standardized score that ad…

Statistical inference

using descriptive summaries as basis for making estimates of u…

Normal distr.

(normal curve) good approximation of distribution of scores fo…

**area under**(a probability density cur…

1

normally distributed, normal distrubtion

one mode

The

**_ _**a PROBABILITY DENSITY CURVE between any two values *…For any probability density curve, *the area under the entire…

A population that is represented by a normal curve is said to…

Normal distributions have

**_ _**.**area under**(a probability density cur…

The

**_ _**a PROBABILITY DENSITY CURVE between any two values *…1

For any probability density curve, *the area under the entire…

Inflection Points

Discovery of the Normal Curve

68%

95%

Changes in curve direction 1 Standard Deviation above and 1 st…

By Friedrich Gauss, a German mathematician who was plotting th…

1 Standard Deviation away from the mean, 34 % left, 34% right

2 Standard Deviations away from the mean

Inflection Points

Changes in curve direction 1 Standard Deviation above and 1 st…

Discovery of the Normal Curve

By Friedrich Gauss, a German mathematician who was plotting th…

distribution of data

center

variability

shape

describing the data set by referring to the center, variabilit…

the placement is found on the left, center, or right on the gi…

the characteristics found in the data, which includes the: spr…

the patterns that describe the data; answering the questions o…

distribution of data

describing the data set by referring to the center, variabilit…

center

the placement is found on the left, center, or right on the gi…

Normal Curve

Normal Distribution

Line of Symmetry

Line of Symmetry

Combines the mean and standard deviation with a graphical repr…

A set of numbers, that when plotted, makes a perfectly shaped…

Curve attribute line in the middle of values that touches at t…

Where all three measures of central tendency (mean, mode, and…

Normal Curve

Combines the mean and standard deviation with a graphical repr…

Normal Distribution

A set of numbers, that when plotted, makes a perfectly shaped…

Normal Curve

Normal Curve

Normal Curve

Normal distribution

The ___ combines the mean and standard deviation with a graphi…

is shaped like a bell; hence "bell curve"

each half of this curve is a mirror image/symmetrical

___ is defined as a set of numbers, that when plotted, makes a…

Normal Curve

The ___ combines the mean and standard deviation with a graphi…

Normal Curve

is shaped like a bell; hence "bell curve"

Central Tendency

Mode

Data can have more than one mode

Advantage: won't be skewed by outliers…

values that describe the middle or central characteristics of…

The score that occurs most frequently. No formula, inspection…

(i.e., bimodal, trimodal)

...

Central Tendency

values that describe the middle or central characteristics of…

Mode

The score that occurs most frequently. No formula, inspection…

Normal Curve

Normal Curve Attributes

Normal Distribution

Abscissa

A graphical representation that combines the mean & standard d…

Shaped like a bell, common name of "bell curve", each half of…

A set of numbers when plotted, make a perfectly shaped bell cu…

This is the line below the curve on a normal curve

Normal Curve

A graphical representation that combines the mean & standard d…

Normal Curve Attributes

Shaped like a bell, common name of "bell curve", each half of…

bigger sample (n)

Normal curve

Normal distribution... - tails

probability

more clustered sd's will be around the mean

infinite number of normal curves

theoretically everything that occurs naturally is normally dis…

is area under curve that represents probability that someone i…

bigger sample (n)

more clustered sd's will be around the mean

Normal curve

infinite number of normal curves

Normal Curve

Normal curve

Asymptotic

Mean, median, mode

Graphical representation of a normal distribution

Is symmetrical, with the highest point at the center

Normal curve is ____ at the base line

Coincide at one point at the center of the curve, they have eq…

Normal Curve

Graphical representation of a normal distribution

Normal curve

Is symmetrical, with the highest point at the center

0.1%

2.3%

15.9%

50%

what percentage is at or below -3 SD away from the mean?

what percentage is at or below -2 SD away from the mean?

what percentage is at or below -1 SD away from the mean?

what percentage is at the mean or below?

0.1%

what percentage is at or below -3 SD away from the mean?

2.3%

what percentage is at or below -2 SD away from the mean?

Normal Curve

Transformation

Z score

Roughly _____ of scores in a normal dis…

defined by being unimodal, symmetrical, and bell-shaped, the n…

changing the way a set of data looks without changing the basi…

the number of standard deviations that a score is away from th…

34%

Normal Curve

defined by being unimodal, symmetrical, and bell-shaped, the n…

Transformation

changing the way a set of data looks without changing the basi…