Last Updated 26 Aug 2020

# Arithmetic Mean and Sample

**1388**(5 pages)

**462**

**1.** In general, a …………… is a number describing some aspect of a population.

- a. Sample.
- b. Parameter.
- c. Inference.
- d. Correction factor.

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** 2.** A sample quantity that serves to estimate an unknown parameter from a population is called:

- a. An equivalence.
- b. An estimator.
- c. An inference.
- d. A hypothesis test.

** 3.** A sample may be drawn to:

- a. Save needless waste of time, money, and effort.
- b. Discover facts about a population.
- c. Make inferences about a parameter.
- d. All of the above.

**4.** The measure of central tendency which is sensitive to extreme scores on the higher or lower end of a distribution is the:

- a. again.
- b. mean.
- c. mode.
- d. all of the above
- e. none of the above

**5.** A large mass of data can best be summarized pictorially by means of:

- a. the range
- b. a histogram
- c. the frequency table
- d. the variance

**6.** Any characteristic of a population distribution may properly be referred to as a:

- a. standard deviation.
- b. raw score.
- c. standard score.
- d. standard error.
- e. parameter.

**7.** A distribution of 6 scores has a median of 21. If the highest score increases 3 points, the median will become ___________.

- a. 21
- b. 21. 5
- c. 24
- d. Cannot be determined without additional information.
- e. none of these

**8.** A population is:

- a. number or measurement collected as a result of observation
- b. a subset of a population
- c. a characteristic of a population that is measurable
- d. a complete set of individuals, objects, or measurements having some common observable characteristics e. none of these

** 9. **Which of the following describes a "statistical inference"?

- a. A true statement about a population made by measuring some sample of that population.
- b. Conjecture about a population made by measuring some sample of that population.
- c. A true statement about a sample made by measuring some population.
- d. Conjecture about a sample made by measuring some population.
- e. A true statement about a sample made by measuring the entire population.

**10**. If the mean, median, and mode of distribution are 5, 6, 7 respectively, then the distribution is:

- a. skewed negatively
- b. not skewed
- c. skewed positively
- d. symmetrical
- e. bimodal.

**11.** In a group of 12 scores, the largest score is increased by 36 points. What effect will this have on the mean of the scores?

- a. it will be increased by 12 points
- b. it will remain unchanged
- c. it will be increased by 3 points
- d. it will increase by 36 points
- e. there is no way of knowing exactly how many points the mean will be increased.

**12.** Let us define a new statistic as the distance between the 70th sample percentile and the 30th sample percentile. This new statistic would give us information concerning

- a. central tendency.
- b. variability.
- c. relative position.
- d. skewness.
- e. symmetry.

**13.** Increasing the frequencies in the tails of distribution will:

- a. reduce the standard deviation.
- b. not affect the standard deviation.
- c. increase the standard deviation.
- d. not affect the standard deviation as long as the increases are balanced on each side of the mean.
- e. none of the above

**14.** What is a synonym or example of a variable?

- a. constant
- b. the characteristic which takes on different values
- c. a number of ears on humans
- d. parameter

**15.** Complete this sentence: "The kth percentile of a given distribution is ... ":

- a. the score at which k% of the cases fall.
- b. the score above which k% of the cases fall.
- c. the score below which k% of the cases fall.
- d. cannot answer without knowing the precise numerical value of k.
- e. more than one of the above is correct.

** 16.** If a given score is at the 30th percentile for reference group A and the 60th percentile for reference group B, which of the following is most likely true?

- a. Individuals in reference group B generally performed better on the test than those in group A.
- b. A person at the 15th percentile with group A will be at the 30th percentile with group B.
- c. A person at the 80th percentile with reference group B will be at the 50th percentile with group A.
- d. Individuals in reference group B generally scored lower on the test than those in reference group A.
- e. None of the above.

**17.** If 40% of a group obtain scores below 70, the percentile rank of the score is:

- a. 30
- b. 70
- c. 40
- d. 60 e. none of these

**18. **The following data are the number of hours worked per week by seven State College students: 3, 7, 4, 6, 2, 8, 19 Half (50%) of the values in a distribution are:

- a. included in the range
- b. between the mean and mode
- c. between Q(1) and Q(3)
- d. the mode and the highest value

**19.** Which of the following is a necessary condition for a sample to be random?

- a. Every person in the population has the same likelihood of being included in the sample.
- b. The choice of the method of selecting individuals from the population is governed entirely by chance.
- c. Proportions of various groups selected are equal to corresponding proportions in the population.
- d. The characteristics of the sample are the same as the characteristics of the population.
- e. None of the above is necessary.

**20.** The following set of scores is obtained on a test, X: 4, 8, 6, 8, 9, 11, 17, 13, 16, 24, 26, 24, 24, 26. The median is: (assume this is a population)

- a. 15
- b. 14. 5
- c. 16
- d. none of these

**21.** Using data from question 20, the variance and standard deviation respectively are:

- a. 64. 80 and 8. 05
- b. 81 and 9
- c. 60. 22 and 7.76.
- d. none of these.

** 22.** The standard deviation of a group of scores is 10. If 5 were subtracted from each score, the standard deviation of the new scores would be:

- a. 10/25
- b. 5
- c. 10

**23.** The summaries of data, which may be tabular, graphical, or numerical, are referred to as:

- a. inferential statistics
- b. statistical inference
- c. descriptive statistics
- d. report generation
- e. none of the above answers is correct.

**24.** Since the population size is always larger than the sample size, then the sample statistics

- a. can never be larger than the population parameter
- b. can never be equal to the population parameter
- c. can never be zero
- d. can never be smaller than the population parameter e. none of the above answers is correct.

** 25.** The relative frequency of a class is computed by:

- a. dividing the midpoint of the class by the sample size
- b. dividing the frequency of the class by the midpoint
- c. dividing the sample size by the frequency of class
- d. dividing the frequency of the class by the sample size e. none of the above answers is correct.

**26.** The measure of location which is the most likely to be influenced by extreme values in the data set is the

- a. range
- b. median
- c. mode
- d. mean
- e. None of the above

** 27.** The first quartile

- a. contains at least one-third of the data elements
- b. is the same as 25th percentile
- c. is the same as 50th percentile
- d. is the same as 75th percentile
- e. None of the above answers is correct.

**28.** If the correlation between the age of an auto and money spent on repairs is +. 90

- a. 81% of the variation in the money spent on repairs is explained by the age of the auto
- b. 81% of the money spent on repairs is unexplained by the age of the auto
- c. 90% of the money spent on repairs is explained by the age of the auto
- d. none of the above

**29.** The correlation coefficient for X and Y is known to be zero. We then can conclude that:

- a. X and Y have standard distributions
- b. there exists no linear relationship between X and Y
- c. the variances of X and Y are equal
- d. here exists no relationship between X and Y
- e. none of these

**30.** If the coefficient of correlation equals 0. 61, it indicates that the proportion of the variation in the dependent variable explained by the variation in the independent variable is

- a. 37%
- b. 61%
- c. 98%
- d. cannot be determined

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