Answered: "the following are scores of 20 students in..."

High School
Statistics and Probability
High school statistics
Data distributions

Answered question

2022-01-29

the following are scores of 20 students in an exam. compute the mean score

Answer & Explanation

user_27qwe

Skilled2023-04-22Added 375 answers

To compute the mean score of these 20 students, we need to first calculate the sum of all their scores, and then divide that sum by the total number of students.

So, let's start by calculating the sum of all the scores:

Sum of scores $= (45 \times 7) + (40 \times 4) + (38 \times 3) + (35 \times 5) + (33 \times 1)$
$= 315 + 160 + 114 + 175 + 33$
$= 797$

Next, we need to divide the sum of scores by the total number of students:

$Mean score = \frac{Sum of scores}{Total number of students}$
$= \frac{797}{20}$
$= 39.85 (rounded to two decimal places)$

Therefore, the mean score of these 20 students is 39.85.

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