Question

One circle is above number 4 point 0, 8 circles are above 4 point 25, 6 circles are above 4 point 5, 2 circles are above 4 point 75, 3 circles are above 5 point 0, 1 circle is above 5 point 25, and 1 circle is above 5 point 5.


A group of students created a dot plot of their heights. Based on the dot plot, find the mean and median height of the students in this class to show that the two measures are different in this skewed data set. Round your answer to the nearest tenth.

Answer 1

Count = 1+8+6+2+3+1+1 = 22 students.

Mean:
Sum = 1(4.00)+8(4.25)+6(4.50)+2(4.75)+3(5.00)+1(5.25)+1(5.50)
= 4.00+34.00+27.00+9.50+15.00+5.25+5.50 = 100.25
Mean = 100.25 / 22 ≈ 4.5568 → 4.6 (to the nearest tenth).

Median:
With 22 values the median is the average of the 11th and 12th values.
Positions 10–15 are 4.5, so both the 11th and 12th values are 4.5.
Median = 4.5.

Thus mean ≈ 4.6 and median = 4.5; the mean is slightly larger because the distribution is right‑skewed.