Final answer:
To compare the measures of center for the television viewing hours of Plot A (girls) and Plot B (boys), we calculate the mean and median of each data set and then compare these values. The mean is the total number of hours divided by the number of data points, and the median is the middle value in the ordered data set. This comparison will reveal which plot has a higher or lower average and median viewing time.
Step-by-step explanation:
To compare the measures of center in the two data sets (Plot A for girls and Plot B for boys), we should calculate both the mean and the median for each group. The mean is found by adding all the data points together and dividing by the number of points.
The median is the middle value when all the data points are arranged in ascending order. If there is an even number of data points, the median is the average of the two middle numbers.
By looking at Plot A and Plot B, we can count the number of circles at each hour mark to determine the distribution of hours watched. For example, if Plot A had five circles at the '4 hours' mark, this would mean that five girls watched television for 4 hours over the one-week period. Applying this method, we can calculate the mean and median for each plot.
For example, if Plot A had data points of 2, 2, 3, 4, 4, 4, 4, 5, 6, and 7, the mean (average) would be calculated by adding these numbers together to get 41 and then dividing by the number of data points (10), which gives us a mean of 4.1 hours. The median would be the average of the fifth and sixth data points (both are 4), so the median is also 4 hours.
We would perform a similar calculation for Plot B. Once both means and medians are calculated, we can compare them to answer which plot has a higher or lower measure of center.
your complete question is: Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time Television Viewing Hours for a One-Week Period Plot A Plot B Which statement compares the shape of the dot plots?