below are the dot plots for two data sets. (a dot plot is sometimes called a \line plot\.) data set a 1 2 3…

below are the dot plots for two data sets. (a dot plot is sometimes called a \line plot\.) data set a 1 2 3 4 5 6 7 8 9 data set b 1 2 3 4 5 6 7 8 9 find the mean of each data set.

below are the dot plots for two data sets. (a dot plot is sometimes called a \line plot\.) data set a 1 2 3 4 5 6 7 8 9 data set b 1 2 3 4 5 6 7 8 9 find the mean of each data set.

Answer

Explanation:

Step1: Calculate sum for Data Set A

For Data Set A: 4 appears 1 time, 5 appears 4 times, 6 appears 4 times, 7 appears 1 time. The sum is $4\times1 + 5\times4+6\times4 + 7\times1=4 + 20+24 + 7=55$.

Step2: Calculate number of data - points for Data Set A

The number of data - points in Data Set A is $1 + 4+4 + 1=10$.

Step3: Calculate mean for Data Set A

The mean of Data Set A is $\frac{55}{10}=5.5$.

Step4: Calculate sum for Data Set B

For Data Set B: 1 appears 1 time, 2 appears 2 times, 3 appears 3 times, 4 appears 2 times, 5 appears 1 time. The sum is $1\times1+2\times2 + 3\times3+4\times2+5\times1=1+4 + 9+8 + 5=27$.

Step5: Calculate number of data - points for Data Set B

The number of data - points in Data Set B is $1+2 + 3+2+1=9$.

Step6: Calculate mean for Data Set B

The mean of Data Set B is $\frac{27}{9}=3$.

Answer:

The mean of Data Set A is 5.5. The mean of Data Set B is 3.