# SOCSCI 2J03 Study Guide - Quiz Guide: Multimodal Distribution, Standard Deviation, Frequency Distribution

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Published on 5 Oct 2020

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Department

Course

Professor

Chebyshev's theorem (empirical rule) is applicable to:

a bell-shaped distribution, a skewed distribution, a multimodal distribution

A, B and C

According to the empirical rule, the percentage of values that fall within one deviation of the mean is approximately:

68%

According to Chebyshev's theorem, the minimum percentage of values that fall within 1.5 standard deviations of the

mean is:

55.56%

According to the empirical rule, the percentage of values that fall outside two standard deviations of the mean is

approximately:

5%

According to Chebyshev's theorem, the minimum percentage of values that fall within 3 standard deviations of the

mean is:

89%

According to the empirical rule, the percentage of values that fall within three standard deviations of the mean is

approximately:

99.7%

The mean age of all high school teachers in New York state is 41 years and the standard deviation is 6 years.

According to Chebyshev's theorem, the percentage of teachers in New York who are 23 to 59 years old is at least:

88.89

The mean age of all high school teachers in New York state is 50 years and the standard deviation is 7 years.

According to Chebyshev's theorem, the percentage of teachers in New York who are 25.5 to 74.5 years old is at

least:

91.84

The ages of all high school teachers in New York state have a bell-shaped distribution with a mean of 43 years and a

standard deviation of 6 years. According to the empirical rule, the percentage of teachers in this state who are 31 to

55 years old is approximately:

95%

The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean

of $71,000 and a standard deviation of $8,000. According to the empirical rule, the percentage of MBA degree

holders working in Los Angeles who have an annual income of $63,000 to $79,000 is approximately:

68%

The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution with a mean

of $72,000 and a standard deviation of $6,000. According to the empirical rule, the percentage of MBA degree

holders working in Los Angeles who have an annual income of $54,000 to $90,000 is approximately:

99.7%

A rectangular histogram has: the same frequency for each class

In a frequency histogram, the frequency of a class is the: height of the corresponding bar

We can construct a frequency histogram for: continuous data

If a data set is right-skewed with one peak in the histogram, then which of the following is true?

the mean is greater than the median, which is greater than the mode

+ a longer tail on the right side

A symmetric distribution curve: is identical on both sides of the mean

If a distribution is symmetric with one peak, then:

the values of the mean, median, and mode are identical

An outlier influences which of the following summary measures the most?

mean

The mean age of five members of a family is 40 years. The ages of four of the five members are 61, 60, 27, and 23.

The age of the fifth member is:

29

The mean score of 15 male students taking a test is 76 and the mean score of 12 female students taking the same test

is 73. The combined mean score of the 27 male and female students is

74.67

Median age for this group of stations:

(Rearrange numbers from low to high) 10 20 4 13 21 16 16

16

The scores of eight students taking a mathematics test are 87, 93, 76, 7, 84, 90, 95, and 93. The best measure of

central tendency in this case is the:

median

Which measure of central tendency can be used for both numerical and categorical variables?

+Easiest to compute

Mode

Which of the following is the only measure that can be calculated for data?

Mode

A qualitative variable is the only type of variable that:

cannot be measured numerically

A Quantitative variable is the only type of variable that:

assume numeric values for which arithmetic operations make sense

Quantity is called Variance

Quantity is called Deviation of from the mean

A continuous variable is a variable that can assume:

an uncountable set of values ex. weight

Which of the following is a continuous quantitative (numerical) variable?

The amount of milk in a 2-litre carton

Which of the following is a discrete quantitative (numerical) variable? — (Discrete = Countable)

The number of employees of an insurance company

To monitor campus security, the campus police office is taking a survey of the number of students in a parking lot

each 30 minutes of a 24-hour period with the goal of determining when patrols of the lot would serve the most

students. If X is the number of students in the lot each period of time, then X is an example of

Discrete variable

The chancellor of a major university was concerned about alcohol abuse on her campus and wanted to find out the

proportion of students at her university who visited campus bars on the weekend before the final exam week. Her

assistant took a random sample of 250 students. The answer on "whether you visited campus bars on the weekend

before the final exam week" from students in the sample is an example of

Categorical variable