the dot plot shows the number of hours, rounded to the nearest half hour, it took alexis to box braid the…

the dot plot shows the number of hours, rounded to the nearest half hour, it took alexis to box braid the hair of 30 customers. alexis says that the mean time is greater than 7 hours. is she correct? use the drop - down menus to explain.\nbox braids\nclick the arrows to choose an answer from each menu.\nthe data in the dot plot are choose... and have a median of choose... hours.\nbased on the shape of the data, the mean time will be choose... the median time. therefore, alexis is choose...

the dot plot shows the number of hours, rounded to the nearest half hour, it took alexis to box braid the hair of 30 customers. alexis says that the mean time is greater than 7 hours. is she correct? use the drop - down menus to explain.\nbox braids\nclick the arrows to choose an answer from each menu.\nthe data in the dot plot are choose... and have a median of choose... hours.\nbased on the shape of the data, the mean time will be choose... the median time. therefore, alexis is choose...

Answer

Explanation:

Step1: Determine data symmetry

The data in the dot - plot is symmetric.

Step2: Recall mean - median relationship for symmetric data

For symmetric data, the mean is equal to the median.

Step3: Find the median

There are 30 data points. The median is the average of the 15th and 16th ordered data points. Counting the dots, the 15th and 16th ordered data points are both 7. So the median is 7 hours.

Step4: Compare mean and 7 hours

Since mean = median = 7 hours, the mean is not greater than 7 hours.

Answer:

The data in the dot plot are symmetric and have a median of 7 hours. Based on the shape of the data, the mean time will be equal to the median time. Therefore, Alexis is incorrect.