Math vs. Verbal Scores on SAT: The graph below represent* the average verbal sco
ID: 3173247 • Letter: M
Question
Math vs. Verbal Scores on SAT: The graph below represent* the average verbal score and average math score on the 2007 SAT exam for a sample of 18 High Schools from the Los Angeles area. (a) This type of graph is called a (b) Identify the observational units (c) What does one point on the graph represent? (d) Does there appear Co be a positive association or a negative association. Explain the association in context. (e) The line drawn is the line y = x. (Check to make sure.) i. What does a point on the line represent? ii. What does it mean if a point is below the line? What percentage of the schools sampled fit this pattern? (f) In general what can you say about these high schools SAT math scores compared to their SAT verbal scores?Explanation / Answer
(a) This is known as a scatterplot.
(b) The observational units are the Average math score and average verbal scores
(c) A point on the graph represents a schools average math score and the same schools average verbal score
(d) there is a positive association since we see that for more schools as the avg math score increases the average verbal score also increases.
(e)
(i) A point on the line represents that the raio of the math score to the verbal score(maths/Verbal) = 1.
(ii) If a point is below the line then it means that the raio maths/Verbal is <1
we see that 2 out of 18 schools are below the line. Hence % = 2*100/18 = 11.11%
(f) It can be said that in most schools the average math scores are higher than the average verbal scores, since for 16 out of 18 schools the ratio of Math/Verbal is >=1