Question

The data below was collected from random samples of high school students in various counties given a new standardized test in science. SCORES LOCATION Fresno County L.A. County Kern County Sacramento County Fail Low Pass Pass High Pass 30 60 70 150 15 40 50 80 150 400 90 250 75 80 30 50 13.What sort of scale of measurement was used to record the scores of the students(Nominal, ordinal, interval or ratio)? 14.What sort of variable is represented by the location designations? 15.What proportion of the entire sample of students scored a "High Pass" on the test? 16.Among those that failed the test, what proportion were from Sacramento County? 17.Among those from L.A., what proportion scored a "High Pass" on this test? 18.What proportion of the entire sample scored a "Low Pass" and were from Kern County?

Answer 1

Ans:

13)Scores are measured on Ordinal scale.

14)Categorical or qualitative variable(Nominal scale)

	Fail	Low pass	Pass	High pass	Total
Fresno	30	60	150	75	315
L.A	70	150	400	80	700
Kern	15	40	90	30	175
Sacromento	50	80	250	50	430
Total	165	330	890	235	1620

15)

P(high pass)=235/1620=0.145

16)

P(Sacromento)=50/165=0.303

17)

P(high pass/L.A)=80/700=0.114

18)

P(low pass and kern)=40/1620=0.025