Question

George wrote seven tests and each was marked out of 100. No two of his marks were the same. He recorded the seven marks to do a statistical analysis. He accidentally recorded his highest mark higher than it actually was. How many of the following are altered because of his mistake? 1. Mean 2. Median 3. Minimum test score 4. Range

Answer 1

If George's highest mark is recorded higher than it actually was, then only the maximum test score and range will be altered.

Mean: Calculated by adding all the test scores together and then dividing by the total number of tests, so the error in the highest score does not affect the mean.

Median: Calculated by finding the middle value in a set of data, so the error in the highest score does not affect the median, as it will still be the fourth highest test score.

Minimum: The lowest test score remains the same, as it will not be affected by the error in the highest score.

Range: Calculated by subtracting the lowest test score from the highest score, so if the highest score is incorrect, the range will also be incorrect.
Therefore, only the maximum score and the range are altered by George's mistake, and the mean, median, and minimum score remain the same.

I hope this helps!

Answer 2

Answer: Range and mean

Explanation: median isn't affected because it is the middle value of all the values. If the highest score is already at the end of the list, then it won't go up or down if the score is even higher. Minimum isnt affected because that is the lowest score, which has seemingly been entered correctly. Mean is affected because it is the average. If one score is higher than it should be, it will raise the average. Range isnaffected because it is the number in between the max and min (max-min). If the max is higher, then the range increases