Find the values of the 30th and 90th percentiles of the data. 18,9,7,5,11,7,17,20,19,2,17,12,5,1, 13,12,11,15,16,20

30th percentile = 7

90th percentile = 19

Step-by-step explanation:

Given : 18,9,7,5,11,7,17,20,19,2,17,12,5,1,13,12,11,15,16,20

To Find: Find the values of the 30th and 90th percentiles of the data.

Solution:

First arrange the data in the ascending order.

1,2,5,5,7,7,9,11,11,12,12,13,15,16,17,17,18,19,20,20

Now to find 30th percentile :

Since there are 20 numbers in data

So, 30% of 20 = 6

Thus the 6th number in the arranged list is the 30th percentile i.e. 7

Thus the 30th percentile is 7

Now to find 90th percentile :

90% of 20 =18

Thus the 18th number in the arranged list is the 90th percentile i.e. 19

Thus the 90th percentile is 19

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐

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i ran through it by the other answer is wrong