statss

48問 • 1年前

問題一覧

To compute for the mean of a discrete random variable, follow these steps: 1. Construct the __________ 2. Determine the value of ______ 3. Add all the values of ______ to determine Σ[X•p(x)]

Probability distribution, X•p(x), X•p(x)

The ______ of a set of numbers measures how far apart the set of elements are spread out

Variance

Variance is always _________

Nonnegative

The ______ of a discrete random variable describes the dispersion or the variability of the probability distribution

Variance

A ________ indicates that the data points tend to be very close to the mean and to each other

Small variance

A _______ indicates that the data points are very spread out around the mean and from each other

High variance

A _________ indicates less variability

Smaller stdv

A _____________ indicates greater spread/variability

Larger stdv

A _______ means greater consistency or reliability in performance or outcomes

Lower stdv

A variance of ____ indicates that all the values are _____

Zero, Identical

Steps in computing the variance and stdv: 1. Compute for the _____ of the probability distribution 2. Construct the column ______ 3. Find the _____ and ____ using their corresponding formulas

Mean, X²•p(x), Variance, Stdv

3 types of distribution

Positive skew, Symmetrical distribution, Negative skew

Positive skew

Symmetrical distribution

Negative skew

In positive skew, the mean is ______ than the mode, and tail is longer on the _______

Greater, Right

In negative skew, the mode is _____ than the mean, and the tail is longer on the _____

Lesser, Left

A distribution which most of the scores tend to be closer to the mean

Normal distribution

The random variable of normal distribution is called the __________

Normal random variable

Continuous random variable

Normal distribution

Continuous probability distribution

A graph that represents a normal distribution

Normal curve

Mean

Sigma (lowercase)

Stdv

3.14159

Euler's constant

2.71828

The term _______ refers to the fact that this kind of distribution occurs in many different kinds of common measurements

Normal

This distribution is the commonly used distribution in probability theory and statistics

Normal distribution

The most common example of a normal distribution

Standard normal distribution

In standard normal distribution, the mean is __ and the stdv is __

0, 1

The _____ of a normal distribution is always in the center of the normal curve

Mean

The stdv determines the _______ of the distribution

Spreadness

These two are used to determine the percentage of scores that lie in a given area of the distribution

Mean, Stdv

Interpretation above the mean

Mean+1stdv, Mean+2stdv, Mean+3stdv

Interpretation below the mean

Mean-1stdv, Mean-2stdv, Mean-3stdv

A continuous probability distribution where most of the scores tend to be closer to the mean

Normal distribution

A continuous random variable of a normal distribution

Normal random variable

A normal distribution is _______ about its mean

Symmetric

The _____, ______, and _______ of a normal distribution are all equal

Mean, Median, Mode

A normal distribution is ____ at the center and _______ at the tails

Thicker, Less thicker

Thicker on the center

More scores

Less thick on the tails

Fewer scores

Approximately _____ of the area of a normal distribution is within 1stdv of the mean

68.26%

Approximately _____ of the area of a normal distribution is within 2stdv of the mean

95.44%

Approximately _____ of the area of a normal distribution is within 3stdv of the mean

99.74%

States that 68.26% of the scores fall within 1stdv away from the mean, 95.44% of the scores fall within 2stdv away from the mean, and 99.74% of the scores fall within 3stdv away from the mean

Empirical rule

Scores that are more than 2 stdv away from the mean

Outliers

Scores that are more than 3stdv away from the mean

Extreme outliers

Constellations

tokkijijii · 88問 · 2年前

Constellations