Question

A researcher randomly purchases several different kits of a popular building toy. The following table shows the number of pieces in each kit in the sample. Find the median of the data.

Building Toy Pieces
180
65
285
370
370
65
124
316
285
129
190
228

Answer 1

To find the median of the data, we need to first arrange the numbers in order from smallest to largest:

65, 65, 124, 129, 180, 190, 228, 285, 285, 316, 370, 370

There are 12 numbers in the sample, so the median will be the middle value. In this case, there are two middle values because there are an even number of data points. To find the median, we take the average of the two middle values:

median = (180 + 190)/2 = 185

So the median number of pieces in the sample of building toys is 185.