II. From the table above, calculate the percentile rank for a score of 87. Pleas
ID: 3362527 • Letter: I
Question
II. From the table above, calculate the percentile rank for a score of 87. Please write down formula first. I For the following distribution of scores, complete the information for M (midpoint) and cumulative frequency Sat Scores cf c% M 750-799 700-749 650-699 600-649 550-599 500-549 Your score on the above SAT Test was 680. Calculate your percentile rank. What percent of all test takers scored higher than you? IV. V. In 1991, there were approximately 61 homicides committed in Savannah, Ga., a city with a population of approximately 140,000 inhabitants. What was the homicide rate for that particular year? Suppose, for hypothetical purposes, the population of Savannah wasExplanation / Answer
III ) For percentage we have to divide frequency by total frquency and then multiply it by 100
For first value , 1 , total of frqency = 29 , % = (1/29) *100 = 3.448276
Similarly , you can find all % values as shown in blow table .
CF , that is cumulative frequency , we have to take addition up to that class
That is for 1 st class frequency is 1
For 2nd class frequency is 2 , CF = 2 + 1 = 3
For 3rd class frequency is 5 , CF = 5+3 = 8
Similarly you can find all CF
For c% , we have to divide cumulative value by total frquency and then multiply it by 100
For 1st cumulative c% = (1/29) * 100 = 3.448276
For 2nd cumulative c% = (3/29) * 100 = 10.34483
Similarly , you can find all c%
And M is mid point , for first class we can find it as ( 750 + 799 ) = 774.5
Simiarly you can find all M values as show in below table
IV ) Percentile score : [ (cf + 0.5*f)/n ] * 100
For test score 680 , 680 li in interval 650 - 699 ,
So CF below that class = 21 and F for that class is 5 , n = 29
So, Percentile score for 680 = [(21 + 0.5*5 ) / 29 ] * 100 = 81.0345%
Lower limit Upper limit f % Cf C% M 500 549 8 27.58621 8 27.58621 524.5 550 599 8 27.58621 16 55.17241 574.5 600 649 5 17.24138 21 72.41379 624.5 650 699 5 17.24138 26 89.65517 674.5 700 749 2 6.896552 28 96.55172 724.5 750 799 1 3.448276 29 100 774.5 Sum = 29