What is the rate of change of and what does it represent 75÷1

Q)Two university female basketball players are being considered for an award to be given to the most consistent player with the highest scoring average for the season. The number of points scored per game for all games played during the season is given by the following table. ( Table Attached)

a) Calculate the population mean and population standard deviation of the number of points scored per game for each player.

(b) Using the results of part (a) which player should receive the award.

Answer:

<h3>Player B should receive the award.</h3><h3>Step-by-step explanation:</h3>

Points of player A:- 5,32,45,25,8,10,35,12,37,21

First we will calculate the mean for player A

∑x = 5 + 32 + 45 + 25 + 8 + 10 + 35 + 12 + 37 + 21

∑x = 230

N = 10

Mean = µ= ∑x/N = 230/10 = 23

Now we will calculate the standard deviation for Player A

x - µ = -18 , 9, 22, 2, -15, -13, 12, 11, 14, -2

(x - µ)^2 = 324, 81, 484, 4, 225, 169, 144, 121, 196, 4

∑(x - µ)^2 = 1752

σ = sqrt( ∑((x - µ)^2/N) )

σ = sqrt(1752/10)

σ = 13.236

Calculating mean for player B:

Points of player B = 18, 20, 22, 15, 35, 24, 29, 19, 25, 23

∑x = 18 + 20 + 22 + 15 + 35 + 24 + 29 + 19 + 25 + 23

N =10

µ = 230/10

µ = 23

Calculating standard deviation for player B:

(x - µ ) = -5, -3, -1, -8, 12, 1, 6, -4, 2, 0

(x -µ )^2 = 25, 9, 1, 64, 144, 1, 36, 16, 4, 0

∑(x - µ)^2 = 300

σ = sqrt(300/10)

σ = 5.48

Since both Player A and Player B have same mean we will calculated the coefficient of variation for both the players.

For player A:

σa/µa *100 = 13.24/23 *100 = 57.56

For Player B:

σb/µb *100 = 5.48/23 * 100 = 23.82

Since the coefficient of variation of Player B is less than Player A hence Player B should receive the award.

3 0

3 years ago

Read 2 more answers

a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bik

stepladder [879]

Answer:

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

$y-y_{o} = m_{\parallel}\cdot (x-x_{o})$

Where:

$x_{o}$ , $y_{o}$ - Components of known point, dimensionless.

$m_{\parallel}$ - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Given that parent function is $y = \frac{3}{8}\cdot x$ , the slope of the resulting line is $m_{\parallel} = \frac{3}{8}$ . Now, if $x_{o} = 16$ and $y_{o} = 7$ , we obtain the equation of the line: