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  • 問題数 48 • 2/15/2025

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  • 1

    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)

  • 2

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

    Variance

  • 3

    Variance is always _________

    Nonnegative

  • 4

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

    Variance

  • 5

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

    Small variance

  • 6

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

    High variance

  • 7

    A _________ indicates less variability

    Smaller stdv

  • 8

    A _____________ indicates greater spread/variability

    Larger stdv

  • 9

    A _______ means greater consistency or reliability in performance or outcomes

    Lower stdv

  • 10

    A variance of ____ indicates that all the values are _____

    Zero, Identical

  • 11

    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

  • 12

    3 types of distribution

    Positive skew, Symmetrical distribution, Negative skew

  • 13

    ?

    Positive skew

  • 14

    ?

    Symmetrical distribution

  • 15

    ?

    Negative skew

  • 16

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

    Greater, Right

  • 17

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

    Lesser, Left

  • 18

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

    Normal distribution

  • 19

    The random variable of normal distribution is called the __________

    Normal random variable

  • 20

    Normal random variable

    Continuous random variable

  • 21

    Normal distribution

    Continuous probability distribution

  • 22

    A graph that represents a normal distribution

    Normal curve

  • 23

    Mu

    Mean

  • 24

    Sigma (lowercase)

    Stdv

  • 25

    Pi

    3.14159

  • 26

    Euler's constant

    2.71828

  • 27

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

    Normal

  • 28

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

    Normal distribution

  • 29

    The most common example of a normal distribution

    Standard normal distribution

  • 30

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

    0, 1

  • 31

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

    Mean

  • 32

    The stdv determines the _______ of the distribution

    Spreadness

  • 33

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

    Mean, Stdv

  • 34

    Interpretation above the mean

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

  • 35

    Interpretation below the mean

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

  • 36

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

    Normal distribution

  • 37

    A continuous random variable of a normal distribution

    Normal random variable

  • 38

    A normal distribution is _______ about its mean

    Symmetric

  • 39

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

    Mean, Median, Mode

  • 40

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

    Thicker, Less thicker

  • 41

    Thicker on the center

    More scores

  • 42

    Less thick on the tails

    Fewer scores

  • 43

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

    68.26%

  • 44

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

    95.44%

  • 45

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

    99.74%

  • 46

    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

  • 47

    Scores that are more than 2 stdv away from the mean

    Outliers

  • 48

    Scores that are more than 3stdv away from the mean

    Extreme outliers