# Study sets matching "normal curve"

Study sets

Diagrams

Classes

Users

marginal probability

conditional probability

joint probability

normal distribution

number of times an event occurred divided by the number of tim…

probability the event "A" will occur given that event "B" occu…

probability that event "A" and "B" will occur together

symmetrical; mean, mode, median all in same place

marginal probability

number of times an event occurred divided by the number of tim…

conditional probability

probability the event "A" will occur given that event "B" occu…

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.

The Normal Curve

Mean

Standard deviation (SD)

Non-normal Distributions and Curves

A statistical and theoretical model that is used to visualize…

average of data points... right at the middle of the normal curve

variability of data--> how spread out is the data?... 1 SD = 68%…

Skewed: Atypical distributions that occur when a distribution…

The Normal Curve

A statistical and theoretical model that is used to visualize…

Mean

average of data points... right at the middle of the normal curve

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

0.68

0.997

the area beneath the curve = 1.

takes either x's or z-scores and conver…

Find the area beneath the Normal Curve between z = -1 and z =…

Find the area beneath the Normal Curve between z = -3 and z =…

The Normal Curve is an example of a DENSITY CURVE. Density cur…

normalcdf(

0.68

Find the area beneath the Normal Curve between z = -1 and z =…

0.997

Find the area beneath the Normal Curve between z = -3 and z =…

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…

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…