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Scrat [10]
3 years ago
12

Find the median, first quartile, third quartile, and interquartile range of the data.

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer:

55, 26.5, 93, 66.5

Step-by-step explanation:

First put the values in order from least to greatest:

14, 25, 28, 38, 55, 66, 92, 94, 97

The median is the number in the middle of a data set when it's in order from least to greatest. In this case it's 55, because it's in the middle and has 4 values on either side of it.

The first quartile is the median of the values left of the median. There are 4 values, so there won't actually be a middle. So to find the median of the 4 values, find the mean of the middle 2. The median of 14, 25, 28, 38 is 26.5 because it is the mean of 25 and 28.

The third quartile is found the same way but using the values to the right of the median. The median of 66, 92, 94, 97 is 93 because it is the mean of 92 and 94.

The interquartile range is found by subtracting the first quartile from the third. 93 - 26.5 = 66.5

So the interquartile range is 66.5

jasenka [17]3 years ago
5 0

Answer:

Median: 55

First quartile: 26.5

Third quartile: 93

Interquartile range: 66.5

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Problem solving with inequalities
anzhelika [568]

Option D:

15c ≤ 200

Solution:

Let c be the number of cases of tea bags.

Cost of each tea bag = 15 gold coins

Total gold coins Mad have = 200

<u>Set up an inequality:</u>

Cost of c tea bags = 15 × c = 15c

Mad can buy tea bags at most 200 gold coins.

(At most 200 means 200 is the greater value)

15 × c ≤ 200

15c ≤ 200

Hence option D is the correct answer.

8 0
3 years ago
Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)
Lelechka [254]

Answer:

y = - \frac{1}{3} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}, thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - \frac{1}{3} x + 8 ← equation of perpendicular line

6 0
3 years ago
The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown
Anna71 [15]

Answer:

  16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

  (w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

  (w^2 +25w +136) - (w(w+9)) = 400

  16w + 136 = 400 . . .simplify

  16w = 264 . . . . . . . . subtract 136

  264/16 = w = 16.5 . . . . . width of the garden in feet

  w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

5 0
3 years ago
Find the slope of the line going through the points (-5, 2) and (-1,5).
Karolina [17]
The slope would be 3/4 because 5 - 2 is 3 and -1 - (-5) is 4. Hope this helps!
4 0
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Answer:

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