Q:

The five-number summary for scores on a statistics test is 11, 35, 61, 70, 79. in all, 380 students took the test. about how many scored between 35 and 61

Accepted Solution

A:
Answer: There are 95 students who scored between 35 and 61.Step-by-step explanation:Since we have given that The following data : 11,35,61,70,79.So, the median of this data would be = 61First two data belongs to "First Quartile " i.e. Q₁ and the second quartile is the median i.e. 61.The last two quartile belongs to "Third Quartile" i.e. Q₃And we know that each quartile is the 25th percentile.And we need "Number of students who scored between 35 and 61."So, between 35 and 61 is 25% of total number of students.So, Number of students who scored between 35 and 61 is given by[tex]\dfrac{25}{100}\times 380\\\\=\dfrac{1}{4}\times 380\\\\=95[/tex]Hence, There are 95 students who scored between 35 and 61.