Albert has an assignment to ask at random 10 students in their school about their ages. The data are given in the table below.
Name Age Name Age
Ana 10 Tony 11
Ira 13 Lito 14
Susan 14 Christian 13
Antonette 13 Michael 15
Gladys 15 Dennis 12
Illustrate the following: 1) Q1 2) Q3 3) D2
4) D6, 5) P45
Name Age Name Age
Ana 10 Tony 11
Ira 13 Lito 14
Susan 14 Christian 13
Antonette 13 Michael 15
Gladys 15 Dennis 12
Illustrate the following: 1) Q1 2) Q3 3) D2
4) D6, 5) P45
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Answer:
. Q1 = 11.75
2. Q3 = 14.25
3. D2 = 11.2
4. D6 = 13.6
5. P45 = 13
Step-by-step explanation:
10, 11, 12, 13, 13, 13, 14, 14, 15, 15 n = 10
1. Q1 = 1/4 (n + 1) Q1 = 11 + 0.75 (12 - 11)
= 1/4 (10 + 1) = 11 + 0.75 (1)
= 1/4 (11) = 11 + 0.75
= 2.75 Q1 = 11.75
= 2nd and 3rd
2. Q3 = 3/4 (n + 1) Q3 = 14 + 0.25 (15 - 14)
= 3/4 (10 + 1) = 14 + 0.25 (1)
= 3/4 (11) = 14 + 0.25
= 33/4 Q3 = 14.25
= 8.25
= 8th and 9th
3. D2 = 2/10 (n + 1) D2 = 11 + 0.2 (12 - 11)
= 2/10 (10 + 1) = 11 + 0.2 (1)
= 2/10 (11) = 11 + 0.2
= 22/10 D2 = 11.2
= 2.2
= 2nd and 3rd
4. D6 = 6/10 (n + 1) D6 = 13 + 0.6 (14 - 13)
= 6/10 (10 + 1) = 13 + 0.6 (1)
= 6/10 (11) = 13 + 0.6
= 66/10 D6 = 13.6
= 6.6
= 6th and 7th
5. P45 = 45/100 (n + 1)
= 45/100 (10 + 1)
= 45/100 (11)
= 495/100
= 4.95
= 4th and 5th
P45 = 13 + 0.95 (13 - 13)
= 13 + 0.95 (0)
P45 = 13