Mathematics, 23.06.2020 19:01 Jackpumpkin

19. Jared scored the following number of points in his basketball ga this season: 12, 18, 42, 8, 14, 11, 15. Which measure of center best
describes the data? Measures of central tendency must be calculate
and included in your response.

Answers: 2

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Answers

Answer from: aileenf598

the measure of center that best describes the data is the median

Step-by-step explanation:

Measures of central tendency can be measured using the mean and median

Arranging the data: 8, 11, 12, 14, 15, 18, 42

The mean = (sum of values)/(number of values in the data set)

number of values in the data set = 7

The mean = (8+ 11+ 12+ 14+ 15 +18 + 42)/7

The mean = 120/7

The mean = 17.14

The median of the data = 14

To determine the measures that best describes the data, we would compare the data and result obtained as mean and median.

Most times the mean is used to describe the data but if their is an outlier, the median is preferred.

We can tell from the data that their is an outlier (42). It is far from other numbers in the data set.

Also, the median best describes the scores because the mean is higher than most of the scores in the data set.

Therefore, the measure of center that best describes the data is the median

Answer from: Quest

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹( $\frac{smaller force}{resultant}$

=tan⁻¹( $\frac{8}{10}$

=tan⁻¹(0.8)

=38.6°

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

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