. Multiple Choice. Choose the letter of the best answer. _____1. Statistically, the spread or scatteredness of observations in a data is called a. discriminant b. dispersion c. range d. standard deviation _____2. The mean of the squared deviations of some observations from their arithmetic mean is called a. standard deviation b. variation c. median d. mode _____3. The positive square root of the mean of the squared deviations of some observations from their arithmetic mean is called a. standard deviation b. variation c. median d. mode
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A. Multiple Choice. Choose the letter of the best answer.
_____1. Statistically, the spread or scatteredness of observations in a data is called
a. discriminant b. dispersion c. range d. standard deviation
_____2. The mean of the squared deviations of some observations from their arithmetic mean is called
a. standard deviation b. variation c. median d. mode
_____3. The positive square root of the mean of the squared deviations of some observations from their
arithmetic mean is called
a. standard deviation b. variation c. median d. mode
_____4. Sum of the deviations of a variable from its mean is always
a. 0 b. 1 c. 2 d. 5
_____5. The measures that are used to determine the degree or extent of variation in a data set are called
a. mean b. median c. measures of dispersion d. measures of
_____6. The variance of a sample of 81 observations equals 64. The standard deviation of the sample equals
a. 0 b. 4096 c. 8 d. 6561
_____7. Which of the following is not a measure of dispersion
a. range b. 50th percentile c. standard deviation d. variance
_____8. If the variance of a data set is correctly computed with the formula using n - 1 in the denominator, which
of the following is true?
a. the data set is a sample b. the data set is a population
c. the data set could be either a sample or a population d. the data is from a census
_____9. The measure of dispersion that is influenced most by extreme values is
a. variance b. standard deviation c. range d. interquartile range
_____10. The descriptive measure of dispersion that is based on the concept of a deviation about the mean is
a. range b. interquartile range c. both and b d. standard deviation
B. Solve the following and show your complete solution.
1. Calculate the standard deviation of the set of first 5 natural numbers when n is an odd number.
2. Calculate the standard deviation of the set of first 6 natural numbers when n is an odd number.
3. The data on relative humidity (in %) for the first ten days of the month in a city are given below:
90 97 92 95 93 95 85 83 85 75
Calculate the range, variance, and standard deviation.
4. Given the scores of Athena and Anthony in an entrance exam, who has a better performance? Compute for
range, variance, and standard deviation.
Subject Math Science English Abstract Reasoning
Athena 93 92 90 94
Anthony 89 97 98 95
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