Multiple choice

Find the value of 3x+1, if median of 2, 3, x, x+2, 11, 17 is 9. (The observations are arranged in ascending order of magnitude.)

  1. 24

  2. 23

  3. 25.3

  4. 25
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Observations: 2, 3, x, x+2, 11, 17. Median of 6 terms is the average of 3rd and 4th terms: (x + x+2)/2 = 9. 2x + 2 = 18, 2x = 16, x = 8. We need 3x + 1 = 3(8) + 1 = 25.

AI explanation

For the six observations arranged in ascending order, the median is the average of the third and fourth terms, so the median is x plus x plus 2 divided by 2. Setting this equal to 9 gives 2x plus 2 equals 18, meaning x equals 8. The value of 3x plus 1 is 3 times 8 plus 1, which is 25.

Keep practicing — related questions