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part 1 of 4 (a) find the mean. rounding rule for the mean: round to one…

Question

part 1 of 4
(a) find the mean.
rounding rule for the mean: round to one more decimal place than the data, as needed.
mean: 172.6
correct answer
mean: 171.9
part: 1 / 4
part 2 of 4
(b) find the median.
median:

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points. Since the correct mean is 171.9, it implies that the sum of all data - points divided by the number of data - points gives 171.9 after rounding as per the given rule.

Step2: Recall median concept

To find the median, first arrange the data in ascending or descending order. If $n$ (number of data - points) is odd, the median is the middle - value. If $n$ is even, the median is the average of the two middle - values. But we don't have the actual data set here.

Answer:

Since we don't have the data set, we cannot calculate the median. We only know from part (a) that the correct mean is 171.9.