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 .

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autarhie6i · Accepted Answer

Step 1Consider the given information in the problem,total number of teachers =107365th percentile =65% of total number of techers  =  65  ×      1000    100    =  697.45  ≈  698Median   =      1073    2    =  536.5  ≈  537Step 2Then, the number of teachers whose salary is between $38850 and   =      $    46600  =  698  −  537  =  161So, the percentage of teachers whose salary is between $38850 and   =      $    46600  =      161    1073    ×  100  =  15Hence, the required percentage of teachers whose salary is between $38850 and $46600 is 15%

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 .

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