A baseball team has nine players whose weight, in pounds, are 174, 177, 194, 162, 196, 169, 187, 192, 178

Find the median and range of those weights

(I have to find the mistake in the student sample below)

174, 177, 194, 162, 196, 169, 187, 192, 178

The median is 196

196 - 162 = 34

The range is 34
HELP ME

The student forgot to sort the values first.

The sorted data set is {162, 169, 174, 177, 178, 187, 192, 194, 196}

Cross off the first four items, and cross off the last four items. You'll find that 178 is the only thing left, so it's right in the middle. This is the median.

Another way to find the median is to notice that there are n = 9 items in the list, so n/2 = 9/2 = 4.5 which rounds to 5 represents the slot number where the median is located. The value 178 is in slot 5. This trick only works if n is odd.

The range is the difference between the min and max, so,

range = max - min = 196-162 = 34

The student got the range part correct.

Summary:

Median = 178

Range = 34

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175