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Concept explainers
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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- 9a. For binomially distributed data set, approximately what proportion would be below the mean and also within one standard deviation? 16.5%,25%,33%,50%,66%arrow_forward5.) Find the mean, median, range, variance and standard deviation of the data set below. The data represent the fixed monthly costs for Sam's Linen Service. Monthly charges Monthly cost ($) Bank charges 482 Cleaning 2208 Food 1750 Computer expenses 2471 Lease payments 2656 Grounds fees 1475 Postage 2117 Uniforms 2600 Delivery fuel 955arrow_forward8.Suppose you compare the mean of raw data and the mean of the same raw data grouped into a frequency distribution. These two means will be a. Exactly equal. b. The same as the median. c. The same as the geometric mean. d. Approximately equal.arrow_forward
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