Find the five-number summary for the data. {232, 198, 214, 205, 222, 228, 208, 237, 217, 199, 213, 208, 228, 224, 203}

The five number summary are;

The minimum is 198

The 1st quartile, Q₁, is 205

The 2nd quartile, Q₂, or  median is 214

The 3rd quartile, Q₃, is 228

The Maximum is 237

Step-by-step explanation:

The numbers are;

232, 198, 214, 205, 222, 228, 208, 237, 217, 199, 213, 208, 228, 224, 203

Which can be rearranged in increasing order as follows;

198,199,203, 205, 208, 208, 213, 214, 217, 222, 224, 228, 228, 232, 237

The five number summary are;

The minimum = The lowest number in the list = 198

The 1st quartile, Q₁,  is the (n + 1)/4 th term which is (15 + 1)/4 = 4th term = 205

The 2nd quartile, Q₂, or  median is the (n + 1)/2 th term which is (15 + 1)/2 = 8th term = 214

The 3rd quartile, Q₃, is the 3×(n + 1)/4 th term which is 3×(15 + 1)/4 = 12th term = 228

The Maximum = The highest number in the list = 237.