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givi [52]
3 years ago
6

A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point

s are added to that student's score. After adding the 20 points, what is the new mean for the class? Hint: Write down the formula for the mean and fill in all known information. What is the new mean for the class?
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = \frac{Sum total    of scores}{Number of students}

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = \frac{Sum total}{20 students}

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= \frac{1020}{20} = 51.

∴ The new mean of the scores is = 51

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