The percentage of all observations in a data set that lies between the 30th percentile and the third quartile: a. equals 85b. equals 30c. equals 45d. cannot be determined without additional informatione. equals 75

Option C) 45%  

Step-by-step explanation:

We have to find the percentage of all observations in a data set that lies between the 30th percentile and the third quartile.

The third quartile represents the 75 percentile of the data that is 0.75 of the cumulative proportion.

The 30 percentile is the 0.30 of the cumulative proportion.

Thus, the data lying between them can be found as:

Option C) 45%

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.