For the data given, find the approximate scores thatcorrespond to these percenti
ID: 2917112 • Letter: F
Question
For the data given, find the approximate scores thatcorrespond to these percentiles: a. 15th, b. 29th, c. 43rd, d.65th, e. 80th Score Frequency cf 196.5-217.5 5 5 217.5-238.5 17 22 238.5-259.5 22 44 259.5-280.5 48 92 280.5-301.5 22 114 301.5-322.5 6 120 Please show work on how answer is found For the data given, find the approximate scores thatcorrespond to these percentiles: a. 15th, b. 29th, c. 43rd, d.65th, e. 80th Score Frequency cf 196.5-217.5 5 5 217.5-238.5 17 22 238.5-259.5 22 44 259.5-280.5 48 92 280.5-301.5 22 114 301.5-322.5 6 120 Please show work on how answer is foundExplanation / Answer
Interval Score Frequency cf Percentile1 196.5-217.5 5 5 2 217.5-238.5 17 22-----------18 3 238.5-259.5 22 44-----------35,52 4 259.5-280.5 48 92-----------78 5 280.5-301.5 22 114---------96 6 301.5-322.5 6 120
total 120
P=(K/100)*n K=percentile n=number ofvalues
a)(15/100)*120 =18
b)(29/100)*120=35
c)(43/100)*120=52
d)(65/100)*120=78
e)(80/100)*120=96
The 15th percentile is in the 18 value and its between217.5-238.5 and there are 22(cf) values below the criticalinterval and 17(f) values in the critical interval
The 29th percentile is in the 35 value and its between 238.5-259.5 and there are 44(cf) values below the criticalinterval and 22(f) values in the critical interval
The 43th percentile is in the 52 value and its between 238.5-259.5 and there are 44(cf) values below the criticalinterval and 22(f) values in the critical interval
The 65th percentile is in the 78 value and its between 259.5-280.5 and there are 92(cf) values below the criticalinterval and 22(f) values in the critical interval
The 80th percentile is in the 96 value and its between 259.5-280.5 and there are 114(cf) values below the criticalinterval and 48(f) values in the critical interval