Question

The mean, median, and mode are all measures of central tendency. The mean is usually the preferred measure of central tendency, but there are specific situations in which it is Aa Aa impossible to compute a mean or in which the mean is not particularly representative of the distribution
Which of the following statements about the mean are true? Check all that apply. □
It is commonly referred to as the arithmetic average
It is algebraically defined (that is, there is an equation you can use to calculate its value)
It is easily influenced by extreme scores.
It can be used for data that are measured on a nominal scale.
Which of the following statements about the median are true? Check all that apply.
It is appropriate for ordinal data.
It is algebraically defined (that is, there is an equation you can use to calculate its value).
There can be more than one.
It can be found when there are undetermined scores.
Which of the following statements about the mode are true? Check all that apply.
It is also referred to as the arithmetic average.
It corresponds to an actual score in the data.
It is the score at the 50th percentile.
There can be more than one.

Answer 1

Answer and explanation:

1. It is commonly referred to as the arithmetic average: the mean measure of central tendency is also referred to as the arithmetic mean or arithmetic average or just average.

It is algebraically defined (that is, there is an equation you can use to calculate its value): the mean can be represented by the algebraic equation

a1+a2+a3...ai/n

2. There can be more than one median where there are an even number of data points and not odd number, in which the two middle number are divided by 2

It can be found when there are undetermined scores: median can be found with undetermined scores

3. It corresponds to an actual score in the data: the mode is an actual value in the data that appears more frequently than other values

There can be more than one: there can be more than one mode(bimodal,trimodal,multimodal) where 2 or more values appear the same number of times