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polet [3.4K]
3 years ago
9

The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum

should be used to make a box plot for this data?

Mathematics
2 answers:
egoroff_w [7]3 years ago
6 0

Answer:

The box plot of the given data is shown below.

Step-by-step explanation:

The given data set is

125, 138, 132, 140, 136, 136, 126, 122, 135, 121

Arrange the data in ascending order

121, 122, 125, 126, 132, 135, 136, 136, 138, 140

Divide the data in two equal parts.

(121, 122, 125, 126, 132), (135, 136, 136, 138, 140)

Divide each parenthesis in two equal parts.

(121, 122), 125, (126, 132), (135, 136), 136, (138, 140)

Minimum value = 121

Maximum value = 140

Q_1=125

Median=\frac{132+135}{2}=133.5

Q_3=136

It means the starting point is 121 and end point is 140. Box lie from 125 to 136 and a line inside the box at 133.5.

Troyanec [42]3 years ago
4 0
We have to put the numbers in order..
(121,122,125, 126,132),M,(135,136,136,138,140)

minimum : (smallest number) = 121
Q1 : 125
Q2 (median) : (132 + 135) / 2 = 267/2 = 133.5
Q3 : 136
maximum : (largest number) = 140
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An experimenter used the following design for studying five variables in eight runs in four blocks of size 2. (a) By reordering
never [62]

Answer:

A design in which all levels of each independent variable are combined with all levels of the other independent variables. A factorial design allows investigation of the separate main effects and interactions of two or more independent variables.

Step-by-step explanation:

3 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
The sum of two consecutive odd numbers is 284. Find each number please.
Vlad [161]
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141

Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
Therefore, your answer is 141 and 143

8 0
3 years ago
Read 2 more answers
How do you simply 2x+8=-6
photoshop1234 [79]
To simplify <span>2x + 8 = -6, the easiest way is to manipulate the equation one step at a time:

</span>2x + 8 = <span>-6
</span>2x = <span>-14             (subtract 8 from both sides)
</span>x = -7                 (divide both sides by 2)


3 0
3 years ago
When BA=10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number. (reply so i can draw it out, p
nexus9112 [7]
The area of the region that is not shaded in the diagram is determined through the following solution:

<span>A = <span>(1 − (<span><span>60°/</span><span>360°</span></span>)*</span>π) * (10 ft ) ^<span>2</span></span> <span>A = <span>56*</span>π*100 [<span>ft2</span>]</span> <span><span>A = <span>250/3 </span>π [<span>ft2</span>]
A = 262 [ft2]</span></span>
5 0
3 years ago
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