Multiple choice

A school finds that scores of a recent 20-question exam are distributed as shown in the histogram as shown above. The school observes that $25$ % of the results are to be omitted from the list. Of the omitted ones, $80$% are greater than what the school thought the mean was; the rest are less. Assuming all new data points fit in the current histogram range, which of the following is most likely to occur upon adding the new scores to the data?

  1. The data will be skewed to the right

  2. The data will be skewed to the left

  3. The median will decrease

  4. The range will decrease

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

If 80% of the omitted scores are greater than the original mean, their removal eliminates a substantial portion of the right tail of the distribution. This action pulls the center of the data toward the lower scores, leaving a longer left tail. Consequently, the remaining data will be skewed to the left.