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koban [17]
3 years ago
15

The table below shows the number of hours some college athletes in two states spend on indoor sports each week:

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0
Arrange the data set in ascending order:
State A:   4,   5,    6,   6,   7,    8,   9,  21,  25
State B: 10, 11, 12, 13, 14, 14, 15, 15,  16

5 number summary:
                             State A         State B
minimum                 4                  10
Q1                            5.5               11.5
median                    7                  14
Q3                          15                  15
maximum              25                 16
IQR                         9.5                  3.5

The box plot are not symmetric. The distance of the median from each Q1 and Q3 should be equal for the box plot to be symmetric.
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Consider the following information related to a set of quantitative sample data:
svlad2 [7]

Answer:

(a) There are outliers

(b) x and x >62

Step-by-step explanation:

Given

\sigma = 14.92

\bar x = 22.0

q_0 = -24

q_1 = 14.5

q_2 = 24.5

q_3 = 33.5

q_4 = 64

Solving (a): Check for outliers

This is calculated using:

Lower = Q_1 - (1.5 * IQR) --- lower bound of outlier

Upper = Q_3 +(1.5 * IQR) --- upper bound of outlier

Where

IQR = Q_3 - Q_1

So, we have:

IQR = 33.5 - 14.5

IQR = 19

The lower bound of outlier becomes

Lower = Q_1 - (1.5 * IQR)

Lower = 14.5 - (1.5 * 19)

Lower = 14.5 - 28.5

Lower = -14

The upper bound of outlier becomes

Upper = Q_3 +(1.5 * IQR)

Upper = 33.5 + 1.5 * 19

Upper = 33.5 + 28.5

Upper = 62

So, we have:

-14 \le x \le 62 --- the range without outlier

Given that:

q_0 = -24  --- This represents the lowest data

q_4 = 64   --- This represents the highest data

-24 and 64 are out of range of -14 \le x \le 62.

Hence, there are outliers

Solving (b): The outliers

The outliers are data less than the lower bound (i.e. less than -14) or greater than the upper bound (i.e. 62)

So, the outliers are:

x and x >62

4 0
2 years ago
Evaluate each numerical expression
ioda

{3}^{4}  - ( - 4)^{2}  =81 - (16) = 65

I hope I helped you^_^

7 0
2 years ago
Read 2 more answers
I’ll send a picture of problem and graph I don’t know how to write it out on here.
JulsSmile [24]

• Given the table of values, you can identify these points:

(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

b=4

Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

y=mx+b

And then solve for "m", in order to find the slope of the line.

Using this point:

(1,8)

You get:

\begin{gathered} 8=m(1)+4 \\ 8-4=m \\ m=4 \end{gathered}

Therefore, the equation for the data in Slope-Intercept Form is:

y=4x+4

Hence, the answer is:

• It represents a Linear Function.

,

• Equation:

y=4x+4

8 0
1 year ago
Shelly Ann Fraser Pryce ran the 100m in 10.7 seconds. If she runs at a constant pace, how long will it take her to run 1/2 Km?
kvv77 [185]

Answer:53.5 Seconds ;)

3 0
2 years ago
A flea is jumping around on the number line. He starts at 3 and jumps 5 units to the left. Where is he now on the number line
weeeeeb [17]

Answer:

Answer. -2

Step-by-step explanation:

hope this helps!!

5 0
2 years ago
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