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Salsk061 [2.6K]
3 years ago
6

ASAP! Question 3: The following data give the weights (in pounds) lost by 15 members of a health club at the end of 2 months aft

er joining the club. 3 22 9 19 12 3 9 13 12 17 7 3 7 17 14 a. Compute the values of the three quartiles and the interquartile range. Q1 = Q2 = Q3 = IQR = b. Calculate the approximate value of the 82nd percentile. Enter an exact value: c. Find the percentile rank of 14. Round your answer to the nearest integer: %
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer:

First arrange the data in an order

3, 3, 3, 7, 7, 10, 10, 12, 12, 13, 14, 17, 17, 18, 21

a.) Q1 = (N + 1)/4th item = (15 + 1)/4 = 4th item = 7

Q2 = 2(16)/4 = 16/2 = 8th item = 12

Q3 = 3(16)/4 = 3(4) = 12th item = 17

IQR = (Q3 - Q1)/2 = (17 - 7)/2 = 10/2 = 5

b.) 82nd percentile = 82(16)/100 = 13th item = 17

c.) 12 is the 8th item which is in the middle of the data set, so the percentile rank is 50%

Step-by-step explanation:

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8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by
disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

  • C - Initial value
  • C' - Final value
  • r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0
2 years ago
What is the markdown from $90 to $75?
love history [14]

Answer:

$15.

Step-by-step explanation:

90-75=15, which is the difference between the two. Hope this helps.

5 0
3 years ago
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0
2 years ago
A circle with a radius equal to 12 feet.
inn [45]

Answer:

What do you mean a radius equal to 12 feet? What is your question?

Step-by-step explanation:

8 0
2 years ago
9
Gwar [14]

Answer:

It is A and I am positive its A

Step-by-step explanation:

6 0
2 years ago
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