Multiple choice

If the median of observations: 12, 1, 8, 54, 61, 28, 45, 35, 21, 17 is M, then what is the value of 2M + 5?

  1. 12

  2. 28

  3. 52

  4. 54
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sorted observations: 1, 8, 12, 17, 21, 28, 35, 45, 54, 61. There are 10 observations, so median M = (21+28)/2 = 49/2 = 24.5. Then 2M + 5 = 2(24.5) + 5 = 49 + 5 = 54.

AI explanation

First, arrange the 10 observations in ascending order, which gives the sequence 1, 8, 12, 17, 21, 28, 35, 45, 54, 61. Since there is an even number of observations, the median M is the average of the 5th and 6th terms, so M equals 21 plus 28 divided by 2, which is 24.5. The question asks for 2M plus 5, so we calculate 2 multiplied by 24.5 plus 5, resulting in 54.

Keep practicing — related questions