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Lapatulllka [165]
3 years ago
10

The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-sha

ped distribution can be determined using a. The empirical rule. b. A five-number summary. c. Percentiles. d. Chebyshev's theorem.
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

a. The empirical rule.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

So the correct answer is:

a. The empirical rule.

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Coach Evans recorded the height, in inches of each player on his team. The results are shown.
marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile (Q_1)

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile (Q_3)

Terms in arranged in ascending order:

57,60,60,61,62,62,63,63,64

Number of terms = 9

As number of terms is odd, exclude the middle term that is 62.

Q_1 is median of terms 57,60,60,61

Number of terms (n) = 4

Median = \frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th}  }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60

So, Q_1=60

So, 25% of the heights of a team is less than 60 inches

Q_3 is the median of terms 62,63,63,64

Median = \frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th}  }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63

So, Q_3=63

So, 75% of the heights of a team is less than 63 inches

Interquartile range = Q_3-Q_1=63-60=3

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

4 0
3 years ago
A rectangular garden is 6 feet longer than its wide. The perimeter of it is 52 feet. What equation can be used to find the width
fenix001 [56]

Answer:

Hi there!

Your answer is;

the equation

(w+6)+(w+6)+(w)+(w) = 52

The width of this rectangle is 10. The length of this rectangle is 16.

Step-by-step explanation:

Rectangular perimeter:

l+l+w+w

l= w+6

w= w

(w+6)+(w+6)+(w)+(w)

4w+12= 52

4w = 40

/4

w= 10

Hope this helps!

8 0
3 years ago
If RS = 15 and ST = 9, then RT=
Lera25 [3.4K]
Rt=24 .. hope i helped 
4 0
3 years ago
F(x)=3x translation 5 units up
olga nikolaevna [1]

The image of the function when translated up is f'(x) = 3x + 5

<h3>How to translate the function up?</h3>

The function is given as:

f(x) = 3x

The rule of the function of a translation of 5 units up is represented as;

f'(x) = f(x) + 5

So, we have:

f'(x) = 3x + 5

Hence, the image of the function when translated up is f'(x) = 3x + 5

Read more about translation at:

brainly.com/question/4289712

#SPJ1

4 0
1 year ago
A tire on a toy car has a diameter of 8 cm if the toy car travels 12,560 cm approximately how many times does the tire rotate? U
Marina86 [1]

Answer:

The number of rotations completed by tire  = 500.

Step-by-step explanation:

The diameter of the tire of toy car = 8 cm

Now, DIAMETER = 2 x RADIUS

So, radius of the tire =  D/2  = 8/2 = 4 cm

Now, Circumference of the Circle = 2πr

= 2 x 3.14 x 4 = 25.12 cm

Now, \textrm{Total  number of rotations}  = \frac{\textrm{Total Area covered}}{\textrm{Area covered in 1 rotation}}

= \frac{12,560}{25.12}  = 500

The number of rotations completed by circle = 500.

6 0
3 years ago
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