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. box braids click the arrows to choose an answer from each menu. the data in the dot plot are choose... and have a median of choose... hours. based 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. box braids click the arrows to choose an answer from each menu. the data in the dot plot are choose... and have a median of choose... hours. based on the shape of the data, the mean time will be choose... the median time. therefore, alexis is choose... .

Answer

Explanation:

Step1: Count data - point frequencies

There are 2 dots at 2, 2 dots at 3, 1 dot at 4, 5 dots at 5, 7 dots at 6, 8 dots at 7, 4 dots at 8, 3 dots at 9, 1 dot at 10. Total number of data - points (n = 30).

Step2: Find the median

Since (n = 30) (an even - numbered data set), the median is the average of the 15th and 16th ordered data - points. Counting the frequencies: (2 + 2+1 + 5=10) (first 4 values), and (10 + 7 = 17) (including the value 6). So the 15th and 16th values are both 6, and the median (M = 6) hours.

Step3: Analyze the shape of the data

The data is symmetric. In a symmetric distribution, the mean is equal to the median.

Answer:

The data in the dot plot are symmetric and have a median of 6 hours. Based on the shape of the data, the mean time will be equal to the median time. Therefore, Alexis is incorrect.