Deck 4: Measures of Central Tendency

Question 1

The mode is defined as ______.

A) the mathematical average
B) the middle score of a distribution that splits it into two equal halves
C) the most frequently occurring score in a distribution
D) the average of all the midpoints in a distribution

Answer 1

C

Question 2

For the following data, which value is the mode?
0, 9, 10, 2, 8, 6, 0, 20, 19, 2, 3, 14, 15, 7

A) 0
B) 2
C) 10
D) 0 and 2

Answer 2

D

Question 3

Which measure of central tendency is best used for categorical variables?

A) mode
B) median
C) mean
D) bimodal distribution

Answer 3

A

Question 4

The median is ______.

A) the most frequently occurring score in a distribution
B) the average of all scores in a distribution
C) the score that is in the exact middle of the distribution
D) the mathematical average

Question 5

For the following set of numbers, what is the median?
0, 9, 10, 2, 8, 6, 0, 20, 19, 2, 3, 14, 15, 7

A) 7.5
B) 8
C) 9
D) 7

Question 6

Given the following grouped distribution, what would the median be?
Number of Drinks
$\begin{array}{|l|l|}\hline \text { Number of Drinks } & \underline{f} \\\hline 1-5 & 2 \\\hline 6-10 & 7 \\\hline 11-15 & 8 \\\hline 16-20 & \underline{3} \\\hline \text { Total } \mathrm{N} & 20 \\\hline\end{array}$

A) 11 - 15
B) 13
C) 11.63
D) 15

Question 7

The mathematical average of a distribution is also called the ______.

A) mean
B) median
C) mode
D) most common number

Question 8

What is the mean for the following distribution?
20, 29, 26, 2, 39, 30, 35, 37, 22, 29

A) 26
B) 26.9
C) 25
D) 27.9

Question 9

The following equation, $\frac{\sum x_{i} f_{i}}{n}$ , represents ______.

A) the sample mean in a frequency distribution
B) the sample mean for grouped data
C) the sample mean or dispersed data
D) the same mean for bimodal data

Question 10

A distribution that had two modes would be considered unimodal?

Question 11

One disadvantage of the mode is that it does not take into account all of the information available in a distribution.

Question 12

One advantage of the mode is its simplicity.

Question 13

The mode may give a misleading notion of the central tendency of the data.

Question 14

The median can be used when analyzing nominal, ordinal, and interval level variables.

Question 15

Similar to the mode, there can be more than one median.

Question 16

Unlike the mean, the median is not influenced by large outliers.

Question 17

Similar to the mode, a disadvantage of the median is that it only uses one and/or two pieces of information.

Question 18

The mode is best used for categorical variables.

Question 19

The median is best used for nominal-level variables.

Question 20

Subtracting the mean from each score gives the "mean deviation".

Question 21

In a negatively skewed distribution, the mean is less than the median.

Question 22

In a positively skewed distribution, the mean is less than the median.

Question 23

from the following data
84, 95, 43, 97, 79, 89, 94, 86, 78, 81, 82, 86, 87, 96, 85, 86, 90
-Calculate the mean and the median

Question 24

from the following data
84, 95, 43, 97, 79, 89, 94, 86, 78, 81, 82, 86, 87, 96, 85, 86, 90
-Calculate the mean from the set of the numbers after removing the value 43. What is the mean now? Why is it different from the mean with out removing the value 43?

Question 25

Is the following distribution positively or negatively skewed? In this distribution would the mean be larger or smaller than the median? What appears to be the mode? What would the best measure of dispersion be?