The students in the eighth grade at North Middle School were asked to take a pop quiz with a maximum score of 200. 5 Select the correct answer. 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? A. 168.86 B. 170.78 C. 183.23 D. 174.50 E. 180.56 Reset Next

The correct answer is D. 174.50

Step-by-step explanation:

1. We ordered the 22 scores from the lowest value, 110 to the greatest value, 198 or from greatest to lowest.

2. We can notice that the the data set contains an even number of values, 22, then we take the two values that appear in the middle (174 and 175) and average them to find the median, this way:

Median = (174 + 175) / 2 = 349/2 = 174.5

3. The correct answer is D. 174.50

4. The median of the score distribution on this pop quiz is more than 170, then the teacher will drop the next pop quiz!