Question

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

Answer 1

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 = 61

First 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. Q₃

And 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

$\dfrac{25}{100}\times 380\\\\=\dfrac{1}{4}\times 380\\\\=95$

Hence, There are 95 students who scored between 35 and 61.

Answer 2

About 25%. This is because the 2nd 1st quartile (25th percentile) and the 3rd number is the median (50th percentile). So, about 25% of the data is between 35 and 61.