Statistics Quiz: Measures of Central Tendency
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Questions and Answers

What is the number of outcomes when a fair coin is tossed?

  • 2 outcomes (correct)
  • 3 outcomes
  • 4 outcomes
  • 1 outcome

    • In a positively skewed distribution, which of the following relationships is true for the mean, median, and mode?

  • The mean is equal to the median and mode
  • The mean is less than the median and mode
  • The mean is greater than the median and mode (correct)
  • The median is greater than the mean and mode

    • If the mean is 25 and the standard deviation is 5, what is the coefficient of variation?

  • 25%
  • 10%
  • 20% (correct)
  • 100%

    • In a positively skewed distribution, what is the value of m3?

    <p>Positive</p> Signup and view all the answers

    What type of measurement scale is used when data is labeled to identify an attribute of an element?

    <p>Nominal</p> Signup and view all the answers

    What is the equation of a simple linear regression line?

    <p>Yˆ = 5 - 2X</p> Signup and view all the answers

    What is the measure of data dispersion that is based on the deviations of individual data points from the mean?

    <p>Variance</p> Signup and view all the answers

    What is the correlation coefficient that measures the strength and direction of the linear relationship between two variables?

    <p>-1 to 1</p> Signup and view all the answers

    What is the type of average that is defined as the reciprocal of the arithmetic mean of the reciprocals of the values?

    <p>Harmonic mean</p> Signup and view all the answers

    What type of average is used to find the average speed of a car that is running at different rates?

    <p>Harmonic mean</p> Signup and view all the answers

    What is the probability of drawing a jack card from a standard deck of 52 playing cards?

    <p>4/52</p> Signup and view all the answers

    What is the value of the correlation coefficient if all the values fall on the same straight line with a positive slope?

    <p>r = +1</p> Signup and view all the answers

    What type of curve has a longer tail to the right?

    <p>Positively skewed</p> Signup and view all the answers

    Which one of the following is not a measure of central tendency?

    <p>Range</p> Signup and view all the answers

    What is the purpose of class intervals in descriptive statistics?

    <p>To organize data into groups</p> Signup and view all the answers

    If the data points fall on a straight line with a positive slope, what is the value of the correlation coefficient?

    <p>r = +1</p> Signup and view all the answers

    What is the condition for the correlation coefficient to be zero in a regression line Y = a + bX?

    <p>Slope b = 0</p> Signup and view all the answers

    What is the purpose of tally marks in descriptive statistics?

    <p>To count the frequency of each value</p> Signup and view all the answers

    What is the probability of getting at least one head when two coins are tossed?

    <p>3/4</p> Signup and view all the answers

    Which measure does not divide a set of observations into equal parts?

    <p>Standard deviations</p> Signup and view all the answers

    In the model Y = mX + a, what is Y also known as?

    <p>Predicted (dependent) variable</p> Signup and view all the answers

    According to the empirical rule, approximately what percentage of measurements will fall within which interval?

    <p>95% fall within X ± 2S</p> Signup and view all the answers

    What is the correlation coefficient used to measure?

    <p>The strength of a linear relationship</p> Signup and view all the answers

    In a regression line, what does the slope (b) represent?

    <p>The change in Y for a one-unit change in X</p> Signup and view all the answers

    Study Notes

    Descriptive Statistics

    • In a positively skewed curve, the mean is greater than the median.

    The variance is a measure of dispersion.

    Probability

    • When a coin is tossed, there are 2 outcomes (heads or tails).
    • The probability of getting at least one head when two coins are tossed is 3/4.

    Regression Analysis

    • In a regression equation, Y is also known as the dependent variable or predicted variable.
    • In a regression line Y = a + bX, the value of the correlation coefficient will be zero if the slope b = 0.

    Measurement Scales

    • When data is labeled to identify an attribute of an element, the measurement scale is nominal.
    • Ordinal scale is used when data is ranked or labeled to identify an attribute of an element, but the differences between the scale values are not equal.

    Data Distribution

    • In a positively skewed distribution, m3 (the third moment) is positive.
    • According to the empirical rule, approximately 95% of the measurements will fall within the interval X ± 2S.

    Averages

    • The harmonic mean is the average defined as the reciprocal of the arithmetic mean of the reciprocals of the values.
    • The weighted mean is used to find the average speed/hr when the rate of a car changes during different intervals.

    Probability and Statistics

    • The probability of drawing a particular card from a deck of 52 playing cards is 1/52.
    • Quartiles divide a set of observations into four equal parts.
    • The range, interquartile range, and variance are measures of dispersion.

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    Description

    Test your knowledge of statistical measures, including mean, median, mode, and variance, in positively skewed curves.

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