What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}
Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.
The value in the 8th slot is 54, so this is the median
Divide the sorted data set into two lists. I'll call them L and U
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).
Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.
Therefore, Q3 = 62
Answer: 62</span>
Hello!
6.
Since the area is that of a square, you know that all side lengths are the same.
Area is base times height (A = bh), but since base and height are the same for a square, you get the formula A = a².
The length of the side of a square with an area of 144 in² is
12 in.
7.
Rational number.
8.
This is a right triangle; use the Pythagorean Theorem to find missing lengths of right triangles. Pythagorean Theorem: a² + b² = c², where c is the hypotenuse of the triangle.
Plug in your leg lengths:
a² + b² = c²
8² + x² = 21²
64 + x² = 441
x² = 377
x = 19.4
Answer:
27 pizzas
Step-by-step explanation:
Each brick of cheese can make 3 pizzas since there are 3 thirds in 1. We multiply 3 by the total number of bricks to get 27.
The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:
- T (years from Helike's disappearance to the end of the Civil War) = w + 373
To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.
- Helike's disappearance year = (-w / 5)
According to the previous expression, the year of Helike's disappearance is:
- Helike's disappearance year = (-1865/5) = -373
According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is:
- T = w + 373
- T = 1865 + 373
- T = 2238
Note: This question is incomplete because the is some information missing. However, I can answer it based on my prior knowledge.
Learn more about Civil War in: brainly.com/question/14234520
