Question

Mrs. Mitchell gives a test. Six of her scores are 78, 85,85,87,90, and 93. she finds a mistake in her grading and gives everyone 5 extra points on their grade

What increases by 5?_ _ _
what stays the same? _ _ _

1. Mean 2. Median 3. Mode 4. Range

Answer 1

Let be the amount of parts the student answered correctly. Suppose that is a function between and the score of a student's project. As the student initially receives a fixed points for turning the project in and points for each correct part, the function is initially:

When the students receive points for each correct part, the coefficient of changes, as the amount of points received per correct answer increases. Thus:

.

Answer 2

mean 86.3

Median 86

Range 15

Mode 85, appeared 2 times

Explanation:

inceased 5 times:

mean 87.2

Median 86

Range 20

Mode 85, appeared 2 times