Question

complete the table. write your answers as whole numbers or decimals rounded to the nearest tenth.

riverwood
mean 3.7
mean absolute deviation 1.5
glenbrook

glenbrook
people in household
riverwood
people in household

Explanation:

Step1: Count the number of data points for Glenbrook

Count the green dots in the Glenbrook plot. There are 13 data points.

Step2: Calculate the sum of data points for Glenbrook

Sum the values: \(1 + 2+2 + 3+3 + 4+5+5 + 6+6 + 7+8+8+10=50\)

Step3: Calculate the mean for Glenbrook

Mean \(=\frac{50}{13}\approx 3.8\)

Step4: Calculate the absolute deviations from the mean for Glenbrook

\(\vert1 - 3.8\vert=2.8\), \(\vert2 - 3.8\vert = 1.8\), \(\vert2 - 3.8\vert=1.8\), \(\vert3 - 3.8\vert = 0.8\), \(\vert3 - 3.8\vert=0.8\), \(\vert4 - 3.8\vert = 0.2\), \(\vert5 - 3.8\vert=1.2\), \(\vert5 - 3.8\vert=1.2\), \(\vert6 - 3.8\vert = 2.2\), \(\vert6 - 3.8\vert=2.2\), \(\vert7 - 3.8\vert = 3.2\), \(\vert8 - 3.8\vert=4.2\), \(\vert8 - 3.8\vert=4.2\), \(\vert10 - 3.8\vert = 6.2\)

Step5: Calculate the sum of absolute deviations for Glenbrook

\(2.8+1.8 + 1.8+0.8+0.8+0.2+1.2+1.2+2.2+2.2+3.2+4.2+4.2+6.2 = 30.6\)

Step6: Calculate the mean absolute deviation for Glenbrook

Mean absolute deviation \(=\frac{30.6}{13}\approx 2.4\)

Answer:

Glenbrook Mean: \(3.8\), Glenbrook Mean absolute deviation: \(2.4\)