Solved: "Directions: Find P11P7,andP88 of the given set of..."

Pretoto4o

Answered question

2021-12-05

Directions: Find

P_{11} P_{7}, and P_{88}

of the given set of ungrouped data.
33,30,32,44,35,38,37,26,31,34,44,39,25,41,37,21,22,15,42, 25

Answer & Explanation

romancemrf

Beginner2021-12-06Added 14 answers

Step 1
Arrange the data in ascending order to get:
15,21,22,25,25,26,30,31,32,33,34,35,37,37,38,39,41,42,44,44
Therefore: $P_{n} = \frac{n (N + 1)}{100}$
Where N is the total number of terms, here N is 20 so it follows:
$P_{n} = \frac{n (21 + 1)}{100} = \frac{22 n}{100}$
Part a
Therefore it follows:
$P_{11} = {(\frac{22 \times 11}{100})}^{t h}$
$= {(2.42)}^{t h}$
$\approx 2 - n d$
$= 21$
Which is the second observation that is 21.
Part b
The second term is as follows:
$P_{7} = {(\frac{22 \times 7}{100})}^{t h}$
$= {(1.54)}^{t h}$
$\approx 1 - s t$
$= 15$
Which is the first observation that is 15.
Part c
The third term is:
$P_{88} = {(\frac{22 \times 88}{100})}^{t h}$
$= {(19.36)}^{t h}$
$\approx 19 - t h$
$= 44$
Which is the nineteenth observation that is 44.

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