You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the

Question

2 years ago

5

You give a test to 100 students and determine the standard deviation of the scores. After grading the test, you realize that the

10 students with the highest scores did exceptionally well. You decide to award these 10 students a bonus of 5 more points each. The standard deviation of the new score distribution will be _______________________(less than, greater than or the same as) that of the original score distribution

Mathematics

1 answer:

Rasek [7] · Answer 1 · 2022-07-25T07:45:39+03:00

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = $\sqrt{sum(x - mean)^2/ n}$

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.