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NeX [460]
3 years ago
7

Find the mean, median and mode of the data set. 12, 18, 14, 13, 12, 13, 6, 15, 5

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Answer:

Mean = 12

Median = 13

Mode = 12 & 13 (Bi-modal)

Step-by-step explanation:

Arranging the given data set in ascending order, we get;

 5, 6, 12, 12, 13, 13, 14, 15, 18

  • Mean of data set = Sum of all values ÷ No. of observations

                                     = \frac{5+ 6+ 12+ 12+ 13+ 13+ 14+ 15+ 18}{9} = \frac{108}{9} = 12

  • Median is given by;

        Firstly we will check the no. of observations in our data set, i.e. n = 9

        since, n is odd so median is given by;

        Median = (\frac{n+1}{2} )^{th}  obs = 5th obs = 13  

  • Mode is the number which appears maximum times in our data set. As we can see that there are two values in our data set which appear to be maximum times i.e. 12 and 13 (appearing 2 times each) .

       so, we can say that our data set is Bi-modal as it has two mode 12 & 13 .

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The admission at the movies is $5 for children and $10 for adults. The total amount collected was
sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of  adults be y

Given : Total number of people,  x + y = 500  --------(1)

           Total amount collected, 5x + 10y = 3000  ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

                             5x + 5000 - 10x = 3000

                                -5x = 3000 - 5000

                                 -5x = -2000

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Substitute x in (1) : 400 + y = 500

                                      y = 500 - 400

                                      y = 100

4 0
2 years ago
For the graph of the function, identify the axis of symmetry, vertex and the formula for the function.
snow_tiger [21]
We know that this is a parabola, as the equation is denoted by the x^2 term.

We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.

The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).

We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.

To sum it up, the answers are:

-2x^2 + 2x - 1.

AoS: x = -0.5

Vertex: (-0.5, -0.5).
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Neporo4naja [7]
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1 and 15
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The least possible sum of a and b is 8.
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