QUESTION IMAGE
Question
box braids
time (h)
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 not correct
Step1: Count data points
Count all the dots in the dot - plot. There are 30 data points.
Step2: Find median position
Since \(n = 30\) (an even number), the median position is \(\frac{n}{2}=15\) and \(\frac{n}{2}+ 1 = 16\).
Step3: Determine median value
Arrange the data in ascending order (already done in the dot - plot). The 15th and 16th ordered data values are both 7. So the median is 7.
Step4: Analyze data shape and mean - median relationship
The data is symmetric. In a symmetric distribution, the mean is equal to the median.
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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.