Refer to the graph below.
The mean score for this distribution is _______ and the median score is _______.
A) 5; 4
B) 4; 5
C) 4; 4
D) 3; 5

Question

Refer to the graph below.
 The mean score for this distribution is _______ and the median score is _______.
A) 5; 4 
B) 4; 5 
C) 4; 4 
D) 3; 5

Quizplus · Accepted Answer

The mean score is the sum of all the scores divided by the number of scores. In this case, the sum of scores is (1*2) + (2*3) + (3*4) + (4*5) + (5*2) = 2+6+12+20+10 = 50. There are a total of 13 scores, so the mean score is 50/13 ≈ 3.85.

To find the median score, we need to arrange the scores in numerical order: 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5. Since there are 13 scores, the median score is the average of the 7th and 8th scores, which is (3+4)/2 = 3.5. However, since there are no scores with a value of 3.5, we can say that the median score is 4 since it is the middle score when the scores are arranged in order.

Therefore, the answer is C: 4 for the median score and 3.85 (which rounds up to 4) for the mean score.

Refer to the Graph Below