The following table gives the scores of 30 students in a mathematics e

pavitorj6

pavitorj6

Answered question

2021-12-03

The following table gives the scores of 30 students in a mathematics examination.
Scores90998089707960695059Students381531
Find the mean and the standard deviation of the given data. Hint: Assume that all scores lying within a group interval take the middle value of that group. (Round your answers to two decimal places.)
mean
standard deviation

Answer & Explanation

Susan Yang

Susan Yang

Beginner2021-12-04Added 20 answers

Step 1
We first write the table using the middle values of each group
ScoresMiddle value(M)Number of students(F)909994.53808984.58707974.515606964.53505954.51
Step 2
Mean=μ=94.5(3)+84.5(8)+74.5(15)+64.5(3)+54.5(1)30=232530=77.5
Standard deviation=
(F×M2)(n×μ2)(n1)=94.52(3)+84.52(8)+74.52(15)+64.52(3)+54.52(1)(30×77.52)301
=243029=9.153857298889.15
Answer: Mean=77.5
Standard deviation =9.15

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