I know it\'s weird, had to take picture off my iPad. I\'m having issues with fig

Question

I know it's weird, had to take picture off my iPad. I'm having issues with figuring percentiles. my professor assigned f h and I (highlighted in blue). i have no idea how to do it. I believe the answer for f. 15th is: 234. thank you in advance.

Moments Today 19. Achievement Test Scores The data shown represent the scores on national achievement test for a group of 10th-grade students. Frequency 196.3-217.5 217.5-238.5 238.3-259.5 259.5-280.5 280.5-301.5 301.5-322.5 48 For the sms data: fnd tt corepond t these percentiles. 15th g 29th

Explanation / Answer

as pth percentile =Lpth + c*(np-fcumulative)/fpth

where Lpth is lower limit of p percenitle bin; c =class width ;n=total frequency ; p =percenitle ; fcumulative is cumulative frequency till previous bin to pth percenitle bin and fpth is frequency of pth percentile bin

f) here for 15th percentile has cumulative relative frequency in 217.5 -238.5 bin

hence 15h percentile =217.5+21*(120*0.15-5)/17 =233.56

h) for 43rd percentile has cumulative relative frequency in 259.5 -280.5 bin

hence 43rd percentile =259.5+21*(120*0.43-44)/48 =262.825

i)for 65th percentile has cumulative relative frequency in 259.5 -280.5 bin

hence 43rd percentile =259.5+21*(120*0.65-44)/48 =274.375

lower Upper Bin mid point frequency(f) Freq,(f/Total) relative Freq 196.5 - 217.5 196.5-217.5 207 5 0.0417 0.042 217.5 - 238.5 217.5-238.5 228 17 0.1417 0.183 238.5 - 259.5 238.5-259.5 249 22 0.1833 0.367 259.5 - 280.5 259.5-280.5 270 48 0.4000 0.767 280.5 - 301.5 280.5-301.5 291 22 0.1833 0.950 301.5 - 322.5 301.5-322.5 312 6 0.0500 1.000 Total 120 1

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