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create a dot plot of the data shown below.20, 21, 21, 25, 20, 23, 27, 2…

Question

create a dot plot of the data shown below.20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24which measure of center would best describe a typical value of the data set? why?would be best,the meanthe medianneither the mean nor the medianclick or tap the number line to add a dot.

Explanation:

Step1: Count data frequency

  • 20: 3, 21:1, 22:2, 23:2, 24:3, 25:3, 26:1, 27:1

Step2: Check data distribution

Data is symmetric (peaks at middle values, counts balanced around center).

Step3: Compare mean/median suitability

Symmetric data means mean reflects center well.

Answer:

The mean would be best, because the data set has a symmetric distribution with no extreme outliers, so the mean accurately represents the typical value of the data.

Dot Plot Summary (for reference):
ValueNumber of Dots
211
222
232
243
253
261
271