Question

If the median of the score distribution on this pop quiz is more than 170, the teacher will drop the next pop quiz. The pop quiz scores followed this distribution: {180, 175, 163, 186, 153, 194, 198, 183, 187, 174, 177, 196, 162, 185, 174, 195, 164, 152, 144, 138, 125, 110}. What is the median of the distribution?

Answer 1

Answer:

174.5

Step-by-step explanation:

Answer 2

The median of a set of data is obtained by arranging the data from lowest to highest. In this pop quiz scores, the arrangements is as follows:

110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198. 

There are 22 items in the list and the median is located in the middle position. In this case, it is the average of 174 (11th) and 175 (12th). Thus, the median is 174.5.