A sixth grade class recorded the number of letters in each students first name. The results are shown in the dot plot. Which is the best representation of the center of this data set?
Answers
Answer:
the center of the data set is 7 so probably 7
7 is the best representation of the center of given data set.
The correct answer is an option (C).
What is center of data?"It is the middle of a distribution.""Mostly, The measures of the center of the data are the mean and the median."What is mean?"It is the average of the given numbers."
What is median?"I is the middle value of a sorted list of numbers."
For given question,
We have been given a dot plot of the number of letters in each students first name.
From the given dot plot,
We have data as 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11
From above data,
the total number of students in the class are n = 30
We write 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6,6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 10, 10, 11, 11, 11 as 3, (4 × 2), (5 × 4), (6 × 7), (7 × 7), (8 × 3), 9, (10 × 2), (11 × 3)
So, the mean of the above data would be,
[tex]\Rightarrow \bar{X}=\frac{3+ (4\times 2)+(5\times 4)+(6\times 7)+(7\times 7)+(8\times 3)+9+(10\times 2)+(11\times 3)}{30}\\\\\Rightarrow \bar{X}=\frac{208}{30}\\\\\Rightarrow \bar{X}=6.93\\\\\Rightarrow \bar{X}\approx 7[/tex]
From above data we can observe that there are two numbers in middle of the data 6 and 7.
So, the median would be,
[tex]\Rightarrow M=\frac{6+7}{2}\\\\\Rightarrow M=6.5\\\\\Rightarrow M\approx 7[/tex]
Therefore, 7 is the best representation of the center of given data set.
The correct answer is an option (C).
Learn more about the center of the data here:
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Answer:
Step-by-step explanation:
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Ashleigh wants to find the volume of her green house. The green house is the shape of a rectangular prism. It has a length of 18 feet and a width of 12 feet, but she cannot measure the height. She can tell that it is about half measurement of the length. Describe the steps Ashleigh should take to get an estimate of the volume.
Answers
9514 1404 393
Answer:
1944 ft³ using the estimated height
Step-by-step explanation:
Ashleigh can use her estimate of the height, along with the other dimensions, in the volume formula to get an estimate of the volume.
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Answers
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B
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Answers
Answer:
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Step-by-step explanation:
1. The domain is the x-value of a function.
2. In that image, the x-values are the numbers on the left of each parenthesis.
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Answers
Answer:
[tex]\displaystyle \sec(\theta)=\frac{9\sqrt{17}}{17}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin(\theta)=\frac{8}{9}\text{ and } \tan(\theta)>0[/tex]
And we want to find sec(θ).
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So, with respect to θ, the adjacent side is √(17), the opposite side is 8, and the hypotenuse is 9.
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[tex]\displaystyle \sec(\theta)=\frac{9}{\sqrt{17}}=\frac{9\sqrt{17}}{17}[/tex]
Again, since θ is in QI, all trig ratios are positive.
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Answer:
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Step-by-step explanation:
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Answers
Answer:
x = -7 or 7
Step-by-step explanation:
x² - 49 = 0
→ Factorise
( x + 7 ) ( x - 7 )
→ Solve
x = -7 or 7
Answer:
(x + 7) (x - 7) = 0
x + 7 = 0 and x - 7 = 0
So, x = +7 and -7
Hope this helps!
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Ο Ο
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Answer:
B
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Answers
Answer:
Around 0.40
Step-by-step explanation
If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.
The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is evaluated as 2621.43 dollars
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The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]
For this case, we are specified that:
Grandma gives 1 penny on first birthday of her granddaughterGrandma increases the gift by doubling the previous birthday gift.That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).
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There are 100 cents in 1 dollars,
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Learn more about sum of terms of geometric sequence here:
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Answer:
Step-by-step explanation:
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Answer:
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Answers
Answer:
Step-by-step explanation:
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Answers
9514 1404 393
Answer:
(x -4)² +(y +9)² = 116
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r
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Answers
Answer:
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Answer:
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Answer:
3.5
Step-by-step explanation:
If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).
Read the section "September 12 – The Battle of North Point."
''September 12 – The Battle of North Point
The British land and Ross boasts he will eat supper in Baltimore. Within two hours, Ross is fatally wounded by an American rifleman. Nevertheless, the British force the Americans to retreat.''
Which of the following words MOST closely matches the meaning of "retreat"?
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advance
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attack
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surrender
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Answers
Answer:
D
Step-by-step explanation:
The military term most often used for retreat is withdraw. It means that some advanced position, the battle cannot be won or turned around. So you withdraw from the field.
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D: answer
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Answers
Answer:
[tex]\huge\boxed{Option \ 4}[/tex]
Step-by-step explanation:
[tex]\displaystyle sin \theta = \frac{opposite }{hypotenuse}[/tex]
Where opposite = 55, hypotenuse = 73
[tex]\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807