2. A teacher asked his class of 20 students, "What is your age? Their responses are shown in the dot plot below.
Mean =
Median =
x
À Xxx

Mode =
Range =
14
15
17
18
16
Age
Does the mean or median best represent the center for this data? Explain.

a) Mean = 16.09

Median = 16

Mode is highest frequency = 16

Range = highest number - lowest number

Range = 19 - 14 = 5

b) median

Step-by-step explanation:

The mean = [(4×14) + (5×15) + (6×16) + (3×17) + (4×19)] ÷ 22

Mean = (56+75+96+51+76)/22

Mean = 354/22

Mean = 16.09

Median = 16

Mode is highest frequency = 16

Range = highest number - lowest number

Range = 19 - 14 = 5

Measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.

The mean is most likely the measure of central tendency that is very popular with, but in this question, median best represent the center for this data because of its single value.