Make a frequency distribution and find the relative frequencies for the following number set. round the relative frequency to the nearest tenth of a percent. some of the answers will be used more than once and some may not be used. 20 22 24 26 27 28 21 23 24 26 27 29 21 23 24 26 27 29 21 23 25 27 28 29 22 23 25 27 28 29 number frequency relative frequency 20 % 21 % 22 % 23 % 24 % 25 % 26 % 27 % 28 % 29 %

Answer with explanation:

We know that the frequency of an outcome is the number of times that outcome is present in the set.

Also, the relative frequency is the ratio of the frequency to the total frequency and for calculating it in percentage we multiply it by 100.

Number        Frequency          Relative frequency                

   20--                1                            3.3%   ( Since, )

    21--                3                            10%

    22--               2                            6.7%

    23--               4                           13.3%

    24--                3                           10%

    25--               2                            6.7%

    26--                3                            10%

    27--                5                             16.7%

    28--                3                            6.7%

    29--                 4                            13.3%

Total frequency= 30

Simplify the second equation.

1/2y = -x + 1

Multiply both sides by 2

y = -2x + 2

Since both equations equal y you can set them equal to each other.

-2x + 2 = 3x - 1

Solve for X

-5x = -3

x = 3/5

Plug this into one of the equations.

3(3/5) - 1 = y

1.8 - 1 = y

y = .8

(0.6, 0.8)