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denis23 [38]
2 years ago
15

What are the minimum, first quartile, median, third quartile, and maximum of the data set? PLEASE Show your work.

Mathematics
2 answers:
Schach [20]2 years ago
7 0
54 55 59 61 61 62 68 70 72
First put your numbers in order from least to greatest. This shows your minimum is 54 and maximum is 72.
In the middle of the data set is 61.

54 55 59 61. 61. 62 68 70 72

To find the first qaurtile only use the numbers before rhe median (54 55 59 61) and find the median of that. Since 55 and 59 are both in the middle add them both and divide by two to find the middle lf those two numbers. You should get 57. So 57 is the first quartile.

Do the same steps with the numbers after the meadian for your third quartile. You should get 69 as your answer for the third quartile.
ale4655 [162]2 years ago
6 0

Answer: IF YOU ARE HERE FROM A QUESTION ON EDG (weight of dogs)

40,43,61,65,97

Step-by-step explanation:

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Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD
Genrish500 [490]

Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

  <A = <C = 90^{0} (right angle property)

   AB ║ DC (given)

Then,

    DA ║ CB

   <B ≅ <D (congruent property)

    DB ≅ BD (similarity property)

    <D + <B = <B + <D (complementary angles, and property of triangles)

Therefore by Angle-Angle-Side (AAS),

                 ∆ABD ≅ ∆CBD

4 0
2 years ago
Which of the figures shown on the circle is a chord? answers: 1) ef 2) cd 3) fc 4) ac
Naya [18.7K]

Answer:

EF

Step-by-step explanation:

A chord is a line segment whose endpoints both lie on the circle.

EF is the chord.

AC is the radius.

DC is a tangent.

FC is a secant.

The correct answer is the first choice.

3 0
3 years ago
Read 2 more answers
I need a answer AS SOON AS POSSIBLE.. thank you :}
nadezda [96]

Answer:

1. c

2. b

3. c

4. a

5. b

6. c

7. c

Step-by-step explanation:

1. to check the congrency normally distance formula is used. if the distances/ length are equal we say that sides are congurent.

2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.

3. diagonals bisect or not can be checked by using midpoint formula.

4. equilateral triangle if the distance of each side is equal so, distance formula can be used.

5 0
3 years ago
Read 2 more answers
What is the area of the triangle? (Pls help thx)
Anna [14]
To solve for the area of the triangle 
Use the formula 1/2(base *height)
1/2 * 17* 4
68/2
34

I believe the area of the triangle is therefore 34ft
5 0
3 years ago
13. The following data are the amounts of
Genrish500 [490]

3 Answers

  • Choice B) Billy misidentified the first quartile value
  • Choice C) Billy misidentified the median
  • Choice D) Billy misidentified the third quartile value

The correct box plot is shown below.

=====================================================

Explanation:

The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.

For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.

You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers

Note: the median is the vertical bar inside the box of the box-and-whisker-plot.

-----------------------------

Once you have the median, break the list into two halves like so:

L = {25,25,30,30,35,35,40,45,50}

U = {60,60,60,70,85,90,95,95,105}

L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.

Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.

The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers

The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.

--------------------------------

To summarize his 3 mistakes, they are:

  • He misidentified Q1  (Choice B)
  • He misidentified the median (Choice C)
  • He misidentified Q3 (choice D)

The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.

See the attached image below to see how Billy should have drawn the box plot.

5 0
2 years ago
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