Question

Miguel is measuring the worms that he has been finding in his yard. Below you will find his measurements.

Answer 1

The data in a number line

Notice that 3/4=0.75 (4 values), 1 (5 values), 1 1/4=1.25 (2 values), 1 1/2=1.5 (5 values), and 1 3/4=1.75 (2 values).

1) The minimum value in the data set is 3/4 while the maximum value is 1 3/4; therefore, the range is

$range=1.75-0.75=1$

The range is 1.

2) Adding the number in the data set

$S=4*0.75+5*1+2*1.25+5*1.5+2*1.75=21.5$

The answer to part 2) is 21.5 in.

3)

$\begin{gathered} S_1=5*1.5=7.5 \\ and \\ S_2=4*\frac{3}{4}=3 \\ \Rightarrow S=7.5+3=10.5 \end{gathered}$

Thus, the answer to part 3) is 10.5 in