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Alexus [3.1K]
2 years ago
11

2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B

ox Plot

Mathematics
1 answer:
zubka84 [21]2 years ago
6 0

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

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miv72 [106K]

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23

Step-by-step explanation:

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5 0
3 years ago
Given \qquad m \angle LONm∠LONm, angle, L, O, N is a straight angle. \qquad m \angle MON = 8x - 13^\circm∠MON=8x−13 ∘ m, angle,
Tamiku [17]

Answer:

<h3>\boxed{99°}</h3><h3 />

Step-by-step explanation:

m<MON = 8x - 13°

m<LOM = 7x - 17°

To find : m <MON

First, we have to find the value of x :

Create an equation

\mathrm{8x - 13 + 7x - 17 = 180} ( sum of angle in straight line )

Collect like terms

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Calculate

\mathrm{15x - 30 = 180}

Move constant to R.H.S and change its sign

\mathrm{15x = 180 + 30}

Calculate the sum

\mathrm{15x = 210}

Divide both sides of the equation by 15

\mathrm{ \frac{15x}{15}  =  \frac{210}{15} }

Calculate

\mathrm{x = 14}

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\mathrm{8x - 13}

Plug the value of x

\mathrm{ = 8 \times 14 - 13}

Calculate the product

\mathrm{ = 112 - 13}

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Hope I helped!

Best regards!

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3 years ago
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lukranit [14]

Answer:

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Step-by-step explanation

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