Question

7. (6pts) Say we have 493 data points listed from small to large and numbered from 1 to 493. Where are the three quartiles?

Answer 1

Using definition of quartiles

given that 493 Data points listed from Small to large from to 443 Dala point are -then 20 . 1 2 3 4567 &9 10 1112 13 100, 101, 21 30, 120,121 r12 12-3,124,25, 130. all 24 ५1]2 260 .250 47248 320 3101 300/ . 390 380 369,370, 37, 3721 450 4601 492,493- We bnow that median 2nd Buartile i.e e, is median is 493+ 494 median 2 2 247 247 the and lower Ralf of the dataset is Set of all valuces are to the left -tne of the me dian .241,246 122 ,123/241 1, 2,3, 1.2

and uPper half et dataset is the set of allvaluos to the right of the madian value 1.e 2 48, 249250 3001 390, 380.--- 369, 370,37, 372 310 ५१2 ५१3. fenow that we first quartile denotea it is the median of the lower half Df tue data se t lower half . 2u5246 122, 1231124, 1 ,2,3 even nomber of data poiuds e median ig Avetog e Here 246 246 Avg 123, 12y 123124 123.5 -7 2 123. 5 first uartile

Je know that fhird Quar tile denoted by it is the medkan of the upper hat of the data set uPper haff 248, 249,25 0/ 310 3001 3 60 350 320 390 3 691 370, 37', 371- 3801--10 492 443. 400 also tere dorta poids Even nomberof HeTe n246 termg A verage 2 dem 46.9 median is Ave( i370 122 3 371 124 term ix Avg (370,371) 370 371 370.5 2 370- 5 33-370.5 Hhird quas,le ix