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Natali [406]
3 years ago
10

Consider a sample with data values of 9, 20, 17, 21, 16, and 13. Round your answers to 1 decimal place.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
5 0

Answer:

16 ; 16.5

Step-by-step explanation:

Given the data:

X = 9, 20, 17, 21, 16, 13

1.) The mean of the data:

Σ(X) / n

n = sample size ; n = 6

(9 + 20 + 17 + 21 + 16 + 13) / 6

= 96 / 6

= 16

2.) The median :

Rearranged data : 9, 13, 16, 17, 20, 21

1/2 (n + 1)th term

1/2 (6 + 1)th term

1/2 (7) th term

The 3.5 th term is the median:

(3rd + 4th) / 2

(16 + 17) / 2

33 /2 = 16.5

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Some boys and girls are waiting for school buses. 25 girls get on the first bus. The ratio of boys to girls at the stop is now 3
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Answer:

100

Step-by-step explanation:

Forming algebraic equations and solving:

Let the number of boys originally  at the stop = 'x'

Let the number of girls originally at the stop = 'y'

25  girls get on the first bus.

⇒ The number of girls now at the stop = y -25

Ratio of boys to girls:

        \sf  \dfrac{x}{y -25}= \dfrac{3}{2}\\\\Cross \ multiply,\\\\2x = 3*(y- 25)\\\\2x = 3y - 3*25\\\\2x = 3y - 75 ------(I)

15 boys get on the second bus.

Now, the number of boys at the stop = x - 15

Number of girls at the stop = y - 25

Ratio of boys to girls,

     \sf \dfrac{x - 15}{y -25} = \dfrac{1}{1}\\\\Cross \ multiply, \\\\x - 15 = y -25\\\\

             x = y -25 + 15

             x = y - 10

Plugin x = y - 10 in equation (I)

          2*(y-10) = 3y -75

          2y - 20  = 3y -75

                -20 = 3y - 75 - 2y

                -20 = y -75

         -20 +75 = y

                 \sf \boxed{\bf y = 55}

Plugin y = 55 in equation (I)

       x = 55 -10

        \sf \boxed{\bf x = 45}

Number of students originally at the stop = x + y

                                                                     = 55 + 45

                                                                     = 100

4 0
2 years ago
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