Question

1. For each of the next data sets:a. Make a dot plot of the data on the given axis.b. Calculate the mean of the data.c. Verify that the mean agrees with the location of the given fulcrum.d.Answer this question: does the dot plot look like it would balance at the fulcrum(assuming the axis on which the data is plotted is weightless)?0 1 2 3 4 5 6 7 8 9 1001234 567 8 9 10Data set 1:3, 4, 4, 5, 5, 5, 6, 6,7Data set 2:4,7,7

Answer 1

Step-by-step explanation:

Part A:

Let us first make a dot plot of the data. To do this we place a number of dots (equal to the frequency ) above a certain number. For example, the number three occurs precisely once n our data set, so we mark the one dot above 3. Similarly, we mark three dots about the number 5 because it occurs precisely three times in the data set.

The dot plot is given below.

Next, we compute the mean of the data.

Part B:

The data set consists of a total of 9 numbers; therefore, the mean is given by

`(3+4+4+5+5+5+6+6+7)/(9)=5`

Hence, the mean of the data set is 5.

Part C.

Indeed the mean is at the location of the fulcrum.

Part D.

The dots are placed symmetrically about the fulcrum. In other words, we find three dots to the left of the fulcrum and three dots to the right of the fulcrum.