Multiple choice

Seven students played a game and their scores in ascending order were 30, 40, 50, 60, 70, 70 and 80. Which of the following statements is/are true? I. The average is greater than 60. II. The median is less than 60. III. The mode is greater than 50.

  1. II and III

  2. II only

  3. III only

  4. I and II
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Data: 30, 40, 50, 60, 70, 70, 80. Average = 400/7 = 57.14 (I is false). Median = 60 (II is false). Mode = 70, which is > 50 (III is true).

AI explanation

The average is calculated by summing all the scores and dividing by the total number of players, so (30 + 40 + 50 + 60 + 70 + 70 + 80) divided by 7 equals 400 divided by 7, which is approximately 57.14. The median of the seven scores arranged in ascending order is the fourth value, which is 60, and the mode is the most frequent value, which is 70. Comparing these values to the statements, the average is not greater than 60, the median is not less than 60, and the mode is greater than 50, making only the third statement true.

Keep practicing — related questions