learning task 1:Am I a Scholar
can you please just answer question number 2,3 and 4
thank you in advance
Answers
Solution :-
Scores ------------- F ------------ CF
2 - 5 ----------------1 --------------- 1
5 - 8 ----------------1 --------------- 2
8 - 11 ----------------2 --------------- 4
11 - 14 ---------------4 --------------- 8
14 - 17 -------------- 8 --------------- 16
17 - 20 --------------7 --------------- 23
20 - 23 -------------9 --------------- 32
23 - 26 -------------10 ---------------42
26 - 29 -------------22 --------------64
29 - 32 -------------13 ---------------77
32 - 35 --------------9 ---------------86
35 - 38 --------------7 ---------------93
38 - 41 -------------- 6--------------- 99
so,
→ N = 99 .
then,
→ 3rd quartile = (3 * 99)/4 = 74.25 th value .
CF greater than 74.25 is 77 which lies in 29 - 32 class , which is our quartile class .
so,
- Lower limit of quartile class = 29 .
- Class size = 3 .
- CF = 64 (before quartile class.)
- Frequency of quartile class = 13 .
then,
→ Q3 = 29 + [(74.25 - 64)/13] * 3
→ Q3 = 29 + (10.25 * 3)/13
→ Q3 = 29 + 2.37
→ Q3 = 31.37
now,
→ 72th percentile = (72 * 99/100) th observation = 71.28 . so, again quartile class is 29 - 32.
then,
→ P(72) = 29 + [(71.28 - 64)/13] * 3
→ P(72) = 29 + (7.28 * 3)/13
→ P(72) = 29 + 1.68
→ P(72) = 30.68
now,
→ 8th decile = (8 * 99)/10 th observation = 79.2 . so, our decile class will be 32 - 35 . (79.2 < 86)
then,
→ D(8) = 32 + [79.2 - 77)/9] * 3
→ D(8) = 32 + (2.2/3)
→ D(8) = 32.73 .
Learn more :-
find D8 and P85 for the following data 79,82,36,38,51,72,68,70,64,63
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5) The daily wages in Rs.) of 15 labourers are as follows:
230, 400, 350, 200, 250, 380, 210, 225, 375, 180, 375, 450, 3...
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Given:
Refer to the attachment for the complete question
Solution:
Answer 1:
Refer to the attachment for the complete table.
Answer 2:
Finding 3rd Quartile:
(3x99)/4 = 74.25
Finding 72nd Percentile:
(72x99)/100 = 71.28
Finding 8th Decile:
(8x99)/10 = 79.2
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Answer 3:
Percentile Rank of Dennis: He scored 32 (given in the question)
Percentile Rank of Christine: He scored 23 (given in the question)
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Answer 4:
It is given in the question that a student's score should be in the top 10% of all scores. It means they must score at least 90% and above in order to consider for a scholarship. Since Both Dennis and Christine have scored less than 90%, they are not qualified for a scholarship.