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:
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
[tex]\text{Mean} =\frac{4+3+5+4+7+2}{6}\\\\=\frac{25}{6}\\\\=4.17[/tex]
Median of the data set={2,3,4,4,5,7}
[tex]=\frac{4+4}{2}\\\\=4[/tex]
So, Mode is better representation of the data set.
Option A: Mode; the data are not numerical.
