Question 1

Which measure of central tendency is most appropriate for highly skewed quantitative data?

Accepted Answer

The median

Question 2

Given the data set: 2, 4, 7, 8, 10, what is the arithmetic mean?

Accepted Answer

$$ \frac{2+4+7+8+10}{5} = 6.2 $$

Question 3

A hospital records the number of patients admitted each day for a week: 12, 15, 13, 14, 16, 15, 100. Which measure of central tendency is most resistant to the outlier?

Accepted Answer

The median

Question 4

For the data set: 3, 5, 6, 8, 10, 11, 11, 12, what is the median?

Accepted Answer

$$ \frac{8+10}{2} = 9 $$

Question 5

Which of the following is true about the mode?

Accepted Answer

It is the most frequent observation in a data set.

Question 6

Yolanda records her cell phone call lengths: 7, 4, 1, 4, 3, 48, 5, 3, 6. What is the range of her call lengths?

Accepted Answer

$$ 48 - 1 = 47 $$

Question 7

If a data set is left-skewed, which of the following is true about the relationship between mean and median?

Accepted Answer

Mean is less than median.

Question 8

Which measure of dispersion is NOT resistant to extreme values?

Accepted Answer

Standard deviation

Question 9

A teacher records the following test scores: 80, 85, 90, 95, 100. What is the standard deviation if all scores are the same?

Accepted Answer

$$ \sqrt{0} = 0 $$

Question 10

Which formula correctly calculates the sample mean $$ \bar{x} $$ for a sample of $$ n $$ observations $$ x_1$, x_2$, ..., x_n $$?

Accepted Answer

$$ \bar{x} = \frac{\sum_{i=1}^{n} x_i}{n} $$

Question 11

A data set contains the values: 2, 2, 3, 4, 5, 5, 5, 6. What is the mode?

Accepted Answer

5

Question 12

Which of the following best describes a resistant measure?

Accepted Answer

It is unaffected by extreme values.

Question 13

If the range of a data set is 5999, which of the following is most likely true?

Accepted Answer

The data set contains an extreme value.

Question 14

Which measure of central tendency is most appropriate for qualitative data?

Accepted Answer

Mode

Question 15

A data set has values: 1, 2, 3, 4, 5, 6, 7, 8. What is the mode?

Accepted Answer

There is no mode

Question 16

Which of the following is true about the standard deviation?

Accepted Answer

It measures the average distance from the mean.

Question 17

If Yolanda's 48-minute call is changed to 148 minutes, what happens to the mean and median?

Accepted Answer

The mean increases more than the median.

Question 18

Which measure splits the data into two equal halves?

Accepted Answer

Median

Question 19

A data set is right-skewed. Which measure of central tendency is likely to be greater?

Accepted Answer

Mean

Question 20

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Measures of Central Tendency and Dispersion (Sections 3.1 & 3.2)

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