Mathematics, 07.01.2021 18:00 randallmatthew5665

Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles.

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Answer from: Roselyn0131

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Step by Step Explanation:

Computation for the 20th, 25th, 65th, and 75th percentiles

First step is to arrange sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24 in Ascending order

Ascending order of given data

14,19,24,24,27,28,30,35

Now let Compute for the 20th, 25th, 65th, and 75th percentiles

Using this formula

I=P/100*n

Where,

n =8 given data values

Let plug in the formula

1. 20th PERCENTILE

20th PERCENTILE = (20/100) * 8

20th PERCENTILE= 1.6

20th PERCENTILE = 2 (rounded up to the nearest integer)

The 20th percentile is the 2th value in the given date that was arranged in ascending order which is 19

Therefore the 20th percentile is 19.

2. 25th PERCENTILE

25th PERCENTILE = (25/100) * 8

25th PERCENTILE= 2

To get the 25th percentile of 2 we would take the average of 2nd and 3rd value

25th PERCENTILE = (19 + 24)/2

25th PERCENTILE=43/2

25th PERCENTILE= 21.5

Therefore the 25th percentile is 21.5

3. 65th PERCENTILE

65th PERCENTILE = (65/100) * 8

65th PERCENTILE= 5.2

65th PERCENTILE= 6 (rounded up to the nearest integer)

The 65th PERCENTILE is the 6th value which is 28

Therefore 65th percentile is 28

4. 75th PERCENTILE

75th PERCENTILE = (75/100) * 8

75th PERCENTILE = 6

To get the 75th PERCENTILE of 6 we would take the average of 6th and 7th value

75th PERCENTILE = (28+30) / 2

75th PERCENTILE =58/2

75th PERCENTILE = 29

Therefore the 75th percentile is 30

Therefore the 20th, 25th, 65th, and 75th percentiles are:

20th percentile = 19

25th percentile = 21.5

65th percentile = 28

75th percentile = 30

Answer from: Quest

step-by-step explanation:

b and c

Answer from: Quest

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where, $a = \frac{\sum y \sum x^2 - \sum x\sum xy}{n\sum x^2 - (\sum x)^2}$

here given table is,

price ($), x : 18 23 25 29 30 33

pairs sold, y : 16 13 10 8 6 2

so, $\sum x = 158$ , $\sum y = 55$ , $\sum xy = 1315$ ,

$\sum x^2 = 4308$ and $\sum y^2 = 629$ ,

thus, slop of the given line is,

$a = \frac{55\times 4308-158\times 1315}{6\times 4308-(158)^2}$

⇒ $a = \frac{29170}{884}$

⇒ $a =32.9977375566$ ≈ 33

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Consider a sample with data values of 27, 24, 19, 14, 30, 35, 28, and 24. Compute the 20th, 25th, 65...

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