Question 1

Which average is defined as the balance point in a distribution?&#10;A) Mean&#10;B) Median&#10;C) Mode

Accepted Answer

The mean, or arithmetic average, is defined as the balance point in a distribution because it is calculated by summing all the values in a set and then dividing by the number of values, effectively distributing the total equally among all values.

Question 2

Which average is defined as the middle point in a distribution?&#10;A) Mean&#10;B) Median&#10;C) Mode

Accepted Answer

The median is defined as the middle point in a distribution, where half of the data points are below it and half are above it.

Question 3

Which average is defined as the most frequently occurring score?&#10;A) Mean&#10;B) Median&#10;C) Mode

Accepted Answer

The mode is defined as the value that appears most frequently in a data set, making it the most frequently occurring score.

Question 4

Median has 50% of the cases above and 50% of the cases below only in a normal distribution. ________

Accepted Answer

The median has 50% of the cases above and 50% below in any distribution, not just a normal distribution.

Question 5

Mean is not appropriate for describing highly skewed distributions. ________

Accepted Answer

The mean is sensitive to extreme values and can be misleading in skewed distributions, where the median is a better measure of central tendency.

Question 6

What is the median for the following set of scores? _______________&#10;3 , 6 , 8 , 9 , 12 , 15 , 18

Accepted Answer

The answer of What is the median for the following...

Question 7

Which is NOT true about median?&#10;A) It is not affected by extreme scores&#10;B) It is used for skewed distributions&#10;C) It is used for skewed and normal distribution&#10;D) It is halfway between the two middle scores if there is an even number of scores

Accepted Answer

The median is indeed used for skewed distributions because it is not as affected by extreme scores as the mean. However, saying it is used for both skewed and normal distributions as a distinguishing feature is misleading because while it can be used for any distribution, its utility is particularly highlighted in skewed distributions. For normal distributions, the mean is often more informative.

Question 8

The mean is not appropriate for describing which two types of data?&#10;A) Nominal and Interval data&#10;B) Nominal and Ratio data&#10;C) Ordinal and Ratio data&#10;D) Nominal and Ordinal data

Accepted Answer

The mean is not appropriate for nominal and ordinal data because these types of data do not support the arithmetic operations required to calculate a mean. Nominal data represent categories without any intrinsic order, while ordinal data represent ordered categories that do not necessarily have a consistent scale between ranks.

Question 9

Which average is appropriate for nominal data?&#10;A) Mean&#10;B) Median&#10;C) Mode

Accepted Answer

The mode is the only measure of central tendency that is appropriate for nominal data, as it represents the most frequently occurring category or value in a data set. Nominal data are categorical data without any intrinsic ordering, so calculations of mean or median are not meaningful.

Question 10

What is the mode in the following data?&#10;5 , 6 , 7 , 7 , 4 , 6 , 7

Accepted Answer

The answer of What is the mode in the following...

Question 11

What is true about the value of averages in a positive skew distribution? A) Mean > Median > Mode B) Mean < Median < Mode C) Mean = Median = Mode

Accepted Answer

The answer of What is true about the value of...

Question 12

In a distribution with a negative skew, the mean has the highest value because it is pulled in the direction of the extremely high scores. _________

Accepted Answer

The answer of In a distribution with a negative skew,...

Deck 12: Mean, Median, and Mode