Question

question 3 of 10 (10 points) | question attempt 1 of 4 widths of solar eclipses the widths in miles of 14 solar eclipses in the united states are shown. find the mean, median, mode, and midrange for the data. 90 78 86 103 160 112 187 135 175 196 230 319 250 214 send data to excel 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: 166.8 part 1 / 4 part 2 of 4 (b) find the median. median:

Explanation:

Step1: Arrange data in ascending order

78, 86, 90, 103, 112, 135, 160, 175, 187, 196, 214, 230, 250, 319

Step2: Calculate median position

Since \(n = 14\) (even - numbered data set), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered - data values. \(\frac{n}{2}=\frac{14}{2}=7\) and \(\frac{n}{2}+1 = 8\).

Step3: Find median

Median\(=\frac{160 + 175}{2}=\frac{335}{2}=167.5\)

Step4: Find mode

There is no repeated value in the data set, so there is no mode.

Step5: Calculate mid - range

Mid - range\(=\frac{\text{Minimum value}+\text{Maximum value}}{2}=\frac{78 + 319}{2}=\frac{397}{2}=198.5\)

Answer:

Median: 167.5
Mode: None
Mid - range: 198.5