The most appropriate measure of variability for this data set is the IQR,
Option B is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To determine the appropriate measure of variability for the given data, let's first calculate some descriptive statistics:
Mean: (5 + 8 + 10 + 12 + 12 + 19) / 6 = 11
Median: the middle value is 11, since there are an even number of values
Range: the difference between the maximum value (19) and the minimum value (5) is 14
Interquartile range (IQR): Q3 (the third quartile) is the median of the upper half of the data, which is (12, 12, 19), and Q1 (the first quartile) is the median of the lower half of the data, which is (5, 8, 10). Thus, Q3 = 12 and Q1 = 8, and the IQR is 12 - 8 = 4.
Now, we need to determine which measure of variability is most appropriate for this data set.
Option A suggests using the range, which is the difference between the maximum and minimum values.
The range is affected by outliers and extreme values, and in this data set, the value of 19 is significantly larger than the other values, which might make the range an unreliable measure of variability.
Option B suggests using the IQR, which is a measure of the spread of the middle 50% of the data.
The IQR is less affected by extreme values than the range and is often preferred when there are outliers or skewed distributions.
Option C suggests using the mean, which is a measure of central tendency, not variability.
Option D suggests using the median, which is also a measure of central tendency, not variability.
Therefore,
The most appropriate measure of variability for this data set is the IQR,
Learn more about the interquartile range here:
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PLEASE HELP I NEED TO GET MY MATH GRADE UP OR ELSE I AM GOING TO BE GROUNDED FOR THE REST OF THE YEAR!!!!!
Answer:
$45
Step-by-step explanation:
x / 30 = 150 / 100
100x = 4500
x = 45
Answer:
$45
Step-by-step explanation:
To solve this, cross multiply:
[tex]\frac{x}{30} =\frac{150}{100}[/tex]
100x = 4500
Divide 100 from both sides.
x = 45
Hope this helps!
Kayla works 5 days a week. Her job is 6 miles round trip. Will she need to refuel during the week? If so, how many times? Explain how you determined your answer. Use math to support your response.
Answer:
the average of Kayla is 39.8, $51.00
Can someone please help me on transverse of parallel lines: solve for x? It is due soon! Thank you!
Please help me im desperate
At a restaurant, hot chocolate can be purchased in two different cup sizes. A 12-ounce cup costs $4.80 and a 16-ounce cup costs $6.40.
Is the linear relationship between cup size and cost also proportional? Why or why not?
Yes, there is no constant of proportionality.
Yes, the constant of proportionality is 0.4.
No, the constant of proportionality is 0.4.
No, there is no constant of proportionality.
Answer:
Yes, the constant of proportionality is 0.4.
Step-by-step explanation:
[tex] \frac{4.80}{12} = \frac{48}{120} = \frac{2}{5} = .4[/tex]
[tex] \frac{6.40}{16} = \frac{64}{160} = \frac{2}{5} = .4[/tex]
Yes, the given relation is proportional with a constant of proportionality is 0.4 thus option (B) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A 12-ounce cup costs $4.80.
The ratio of cost to ounce = 4.80/12 = 0.4
A 16-ounce cup costs $6.40.
The ratio of cost to ounce = 6.40/16 = 0.4
So constant of proportionality is 2.5.
Hence "Yes, the given relation is proportional with a constant of proportionality is 0.4".
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Which of the following points on the number line best represents 25%?
Answer quick
Point B is correct because it's dividing it into 4ths and 1/4=25 percent
Answer: It is point B
Step-by-step explanation: Because the number line is divided into fourths.
Hey! This assignment is due soon. It is about transversals of parallel lines: name angle pairs. If someone could help that would be great!
Answer:
<HGE and <IJL
Step-by-step explanation:
They are on the outside (exterior) and are alternate angles (form a Z shape).
Write the math sentence as an equation: Negative eight times the sum of a number and 14.6 is 31.2.
−8r + 14.6 = 31.2
−8(r + 14.6) = 31.2
−8(r − 14.6) = 31.2
−8r − 14.6 = 31.2
first to answer will get brainiest
The equation for the math sentence "Negative eight times the sum of a number and 14.6 is 31.2." will be; -8(r+14.6)=31.2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that math sentence as an equation:
"Negative eight times the sum of a number and 14.6 is 31.2."
Here,
-8 times (a number (sum=addition) and 14.6) = (equal to) 31.2
Therefore, the equation will be as;
-8(r+14.6)=31.2
The equation for the math sentence "Negative eight times the sum of a number and 14.6 is 31.2." will be; -8(r+14.6)=31.2
Learn more about equations here;
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how can you find the new amount of a quantity that has increased over a period of time
Answer:
Step-by-step explanation:/ Answer
1. First: work out the difference (increase) between the two numbers you are comparing.
2. Increase = New Number - Original Number.
3. Then: divide the increase by the original number and multiply the answer by 100.
4. % increase = Increase ÷ Original Number × 100.
help on 16 and 17 please
Answer:
16) 30 units squared
17) 28 units squared
Step-by-step explanation:
To find the area you need to multiply length times width.
Answer:
16.=30
17.=32
Step-by-step explanation:5*6=30 and 4*8=32
someone please answer this for me before 2:20!! ty ^^
Which equation applies the associative property of multiplication?
Answer:
a c d
Step-by-step explanation:
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $18. Option B is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Write as the opposite of a square root
-2√3
-3√5
-7√a
-0.2√b
Answer:
[tex] \sqrt[6]{512} [/tex]
ANSWER QUICKK
Divide 4 11/16 by 1 1/4
Answer:
411/44 or 9.340909091
Can you pls help me??
Answer:
112 mushrooms
Step-by-step explanation:
2/5x5/9
10/40=1/4
1/4=28/x
cross multiply
1x=4(28)
x=112
hopes this helps please mark brainliest
112 mushrooms
Step-by-step explanation:
2/5x5/910/40=1/41/4=28/xcross multiply1x=4(28)x=112
Find the missing number so that the equation has infinitely many solutions.
x – 14 + (Blank)x =4x – 14
Answer:
3
Step-by-step explanation:
for this to have infinite amount of solutions both sides should equal each other and be the same
X-14+ blank x=4x-14
+14. +14
x+blank x=4x
-x. -x
Blank x=3x
/x. /x
Blank=3
Hopes this helps please mark brainliest
Suppose a hurricane traveled 130 miles from point in the Atlantic Ocean to Florida coastline in 6 1/2 hours. How many miles per hour did the hurricane travel?
Answer:
The hurricane traveled 260 miles per hour.
Step-by-step explanation:
Given,
Distance covered by hurricane = 130 miles
Then time = [tex]\frac{6}{12}[/tex] hours=[tex]0.5[/tex] hour
Distance=Speed*Time
Speed=[tex]\frac{Distance}{Time}[/tex]
Speed=[tex]\frac{130}{0.5}[/tex]
Speed=260 miles per hour
So, the hurricane traveled 260 miles per hour
Evaluate and solve for the variable and graph the resulting solution set, showing ALL work.
a) x/4 > 10
-------|--------|-----------|--------|
b) -5g < 15
---|-------|--------|---------|---------|
c) t - 4 ≤ -3
--------|---------|-----|------|
d) 4d > -12
------|--------|--------|------
e) u + 12 ≤ 5
-------|---------|-------|----
f) j - 4 ≥ - 4
-------|--------|------|-------
I need help on 5-10 if anyone could help that would be great
Answer:
5 minus 10 equals -5
Step-by-step explanation:
Help please I have no idea how :(
Answer:
1
Explanation:
The open dot shows greater than and/or less than, but the closed dot is greater than or equal to and/or less than or equal to
Answer:
Step-by-step explanation:
i think the last
Answer quickly I don't know what to do?
Answer:
B
Step-by-step explanation:
Basically you can put the amount of hours that you practice on every week in to a graph or a chart meaning you can store the data making it easier to read. Whereas with the other questions, you cannot.
An indoor soccer field can be rented for personal use. The total cost for renting the field can be found by using the equation y = 225x + 200. The x-variable is the number of hours the field is being rented, the constant is the flat rate for renting the field, and the y-variable is the total cost, in dollars.
Which statement is true based on the given equation?
The equation shows a linear relationship, but not a proportional relationship.
The equation shows a linear relationship and a proportional relationship.
The equation does not show a linear relationship or a proportional relationship.
The equation shows a proportional relationship, but not a linear relationship.
The statement that is true based on the given equation is (c) The equation does not show a linear relationship or a proportional relationship.
How to determine the true statement?
The equation of the function is given as:
y = 25x^2 + 60
Linear equations can take any of the following forms
Ax + By = C
y = mx + c
y - y1 = m(x - x1)
Any equation that takes a form different from the above forms is not a linear equation
Hence, the statement that is true based on the given equation is (c) The equation does not show a linear relationship or a proportional relationship.
Answer:
425 is the answer.
Step-by-step explanation:
A regular polygon is shown with one of its angle measures labeled a. If m∠a = (2z + 64)°, find the value of z.
Answer:
the sum of all the angles of the polygon is 180°
Then,
(2z+64)° = 180°
2z = 180° - 64°
2z = 116°
z = 116 / 2
= 58° (ans)
Answer:
58
Step-by-step explanation:
i got it right on my test
hope this helps!!!
PLEASE ANSWER!!!
....
Answer:
-3(8+2)
Step-by-step explanation:
since they are both being multiplied by -3 we can make it look like this
-3(8+2)
Hopes this helps please mark brainliest
Which property is 1/4(24 x5)
Francine applies the commutative property to the product.
(- 8/9) x (-13) x (18)
Which expression illustrates the commutative property applied to the product?
Answer:
2nd one
Step-by-step explanation:
Which number line represents 30%?
Answer:
C
Step-by-step explanation:
30%=
30/100=
3/10=0.3
0.3<1, and is 3/10 of 1.
Why did the spelling and grammar checkers in Word miss the errors highlighted in yellow?
3-5 sentence
Answer:
Spelling and grammar missed them because the highlighted errors are actually words that are not in the right place and when you misspelled them, it turned into a word in the incorrect place.
Step-by-step explanation:
HELP MEEEEE <3
Rewrite 17/40 as a decimal number.
Round 10 7/25 to the nearest whole number.
Rewrite 0.84 as a fraction in lowest terms.
Rewrite 11 5/12 as a decimal number.
Rewrite 5.75 as a mixed number in lowest terms.
Which of the following is closest to?
1
0
1/2
Rewrite 0.007 as a fraction in lowest terms.
Round each mixed number to the nearest whole number and then estimate the difference.
9 5/12 - 3 4/5
Find the elapsed time between 1:28 p.m. and 4:05 p.m.
Find the elapsed time between 7:13 p.m. and 3:45 a.m.
Answer: 0.425 is a decimal number of 17/40 7.25 to the nearest thousands is 0 7.25 to the nearest hundreds is 0 7.25 to the nearest tens is 10 Check and cancel the factors of 84 and 100 if any factors in the numerator and denominator can be cancelled each other:
=(21 x 4)
(25 x 4)
84/100
=21/25
0.84 as a fraction is equal to 21/25
First things first, if you don't know what a numerator and a denominator are in a fraction, we need to recap that: Here's the little secret you can use to instantly transform any fraction to a decimal: Simply divide the numerator by the denominator: That's literally all there is to it! 5/12 as a decimal is 0.41666666666667, but just write 0.4. Next 5.75=
5 75/100
divide top and bottom by 25
5 3/4
0.007 as a Fraction Result: 0.007 as a Fraction equals 7 / 1000. Scroll down for detailed steps on how to convert 0.007 into a fraction.
in simplified form is 18.81. This when rounded to whole number becomes 19.
Similarly, in simplified form is 8.375 and when rounded to nearest whole number, it becomes 8.
Now, the difference will be 19-8=11
Answer: PLEASE GIVE ME BRAINLIEST I WORKED SO HARD ON IT
1. [tex]\frac{17}{40}[/tex] = 0.425
2. [tex]10\frac{7}{25}[/tex] = [tex]\frac{257}{25}[/tex] = 10.28 = 10 (rounded)
3. 0.84 → [tex]\frac{0.84*100}{1*100} = \frac{84}{100}[/tex] = [tex]\frac{21}{25}[/tex] (lowest terms/simplest form)
4. [tex]11\frac{5}{12} = \frac{137}{12}[/tex] = 11.41
5. 5.75 → [tex]\frac{5.75*100}{1*100} = \frac{575}{100}[/tex] = [tex]\frac{23}{4}[/tex] (lowest terms/simplest form)
7. 0.007 → [tex]\frac{0.007*1000}{1*1000} = \frac{7}{1000}[/tex] (lowest terms/simplest form)
8. [tex]9\frac{5}{12}[/tex] - [tex]3\frac{4}{5}[/tex] → [tex]\frac{113}{12} - \frac{19}{5}[/tex] → 9.41 - 3.8 → 9-4 = 5 (the difference)
9. The elapsed time between 1:28 p.m. and 4:05 p.m is 2 hrs & 37 min.
10. The elapsed time between 7:13 p.m. and 3:45 a.m is 8 hrs & 32 min.
This assignment is due soon so if someone can help it would be wonderful! It is about triangle Angle-Sun Theorem.