The median salary of the 1,073 teachers in a large public school district is $38,850. If the 65th percentile of the salaries is $46,600 , find the percent of teachers whose salary is between $38,850 and $46, 600 .

Elisabeth Esparza

Elisabeth Esparza

Answered question

2022-07-16

The median salary of the 1,073 teachers in a large public school district is $38,850. If the 65th percentile of the salaries is $46,600 , find the percent of teachers whose salary is between $38,850 and $46, 600 .

Answer & Explanation

autarhie6i

autarhie6i

Beginner2022-07-17Added 18 answers

Step 1
Consider the given information in the problem,
total number of teachers =1073
65th percentile =65% of total number of techers
= 65 × 1000 100
= 697.45
698
Median = 1073 2
= 536.5
537
Step 2
Then, the number of teachers whose salary is between $38850 and = $ 46600 = 698 537 = 161
So, the percentage of teachers whose salary is between $38850 and = $ 46600 = 161 1073 × 100 = 15
Hence, the required percentage of teachers whose salary is between $38850 and $46600 is 15%

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