Question

Which measure of central tendency best describes this situation: the favorite color of a class of kindergarteners? Explain.

Mode; the data are not numerical

Mean; there likely are no outliers.

 Median; there likely are outliers

Median; there likely are no outliers.

Answer 1

Mode because the data are not numerical.

The median cannot be found because you can not place the colors from lowest to highest in value. There's no way to determine order.

The mean can not be used because you can't add up the colors and divide by the total colors.

Answer 2

Consider a class of kindergarten , in which 25 students are studying.Suppose

Students Favorite Color

4 Students = Black Color

3 Students = Red Color

5 Students = Pink Color

4 Students = Yellow color

7 Students =Green Color

2 Students = Orange Color

So,Mode of the data set,is that variate in the data set which occurs maximum number of times.

→→7 students like green color, that will be mode of the data set, which occur maximum number of times.

As⇒, Color is Quantitative Data, which will be described by Mode not by mean and Median , because

`\text{Mean} =(4+3+5+4+7+2)/(6)\\\\=(25)/(6)\\\\=4.17`

Median of the data set={2,3,4,4,5,7}

`=(4+4)/(2)\\\\=4`

So, Mode is better representation of the data set.

Option A: Mode; the data are not numerical.