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DiKsa [7]
3 years ago
10

The box plot was created by using which pieces of data? A) an upper quartile of 56 and a median of 50 B) a lower quartile of 56

and a median of 50 C) a median of 56 and a lower quartile of 50 D) a median of 56 and an upper quartile of 50

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

A) an upper quartile of 56 and a median of 50

Step-by-step explanation:

Hello!

The lower and upper ends "box" from the box and whiskers plot is determined by the first (Q₁) and third (Q₃) quartiles of the data set and the line inside the box marks the median or second quartile of the sample (Q₂)

The length of the whiskers of the diagram is determined by the minimum value (left whisker) and the maximum value (right whisker)

If you observe the graphic:

Q₁= 42

Q₂= 50 (Median)

Q₃= 56

Min= 38

Max= 66

The box is delimited by a lower quartile of 42 and an upper quartile of 56, with a median 50, the least observation is 38 and the highest observation is 66.

The correct choice is A.

I hope this helps!

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How do you evaluate an algebraic expression?
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Answer:

  follow the Order of Operations

Step-by-step explanation:

An algebraic expression cannot be <em>evaluated</em> unless all of its variables have been replaced by numerical values. (It can be <em>simplified</em>, but not <em>evaluated</em> if it contains variables.)

A collection of numbers and math symbols is interpreted according to the Order of Operations. This order reflects a precedence of operations that is generally agreed or understood to be applied to algebraic expressions. Operations with the highest precedence are performed first. Operations with equal precedence are generally performed in order, left to right. (There are exceptions.) Parentheses or other grouping symbols are used to modify the order of operations as may be necessary.

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Here is a description of the most often seen operations in an algebraic expression, in order of precedence (highest to lowest).

1. Parentheses or Brackets -- any expression enclosed in parentheses or brackets is evaluated first. Evaluation is according to the order of operations. That means that if parentheses are nested, expressions in the innermost parentheses are evaluated first.

2. Exponents or Indices -- Expressions with exponents are evaluated next. In this context, roots are fractional exponents. If exponents are nested, they are applied right to left:

  3^2^4 = 3^(2^4) = 3^16 = 43,046,721 . . . for example

Parentheses modify this order, so ...

  (3^2)^4 = 9^4 = 6,561

The exponent is taken to be the first number immediately following the exponentiation symbol, so ...

  9^1/2 = (9^1)/2 = 9/2 = 4.5

Again, parentheses alter this order, so ...

  9^(1/2) = √9 = 3

3. Multiplication and Division -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, division is the same as multiplication by a reciprocal, and multiplication is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

For example, 9*2/3 would be evaluated as (9*2)/3 = 18/3 = 6. However, recognizing that 9 = 3*3, you can rearrange the evaluation to ...

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You will also note that 9/3*2 is not the same as 9/(3*2). That is, the denominator in the division is only the first number after the division symbol. This is also true for expressions involving variables:

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If you want b/(2a), you must use parentheses.

Some authors make a distinction between the slash (/) and the symbol ÷ in their effect on an expression. The Order of Operations makes no such distinction, treating /, ÷, "over", "divided by" as all meaning exactly the same thing.

4. Addition and Subtraction -- These operations have the same precedence, so are performed in order of appearance, left to right. Of course, subtraction is the same as addition of an opposite, and addition is a commutative and associative operation. Those features of these operations do not alter the "order of operations," but may alter your approach to actually doing an evaluation.

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There are a number of tricky expressions floating around that test your understanding of the order of operations. Here is one of them:

  10 × 4 - 2 × (4² ÷ 4) ÷ 2 ÷ 1/2 + 9

One of the things that makes this tricky is the distinction between ÷ and /, as discussed above. Here, the author of the expression intends for the / to indicate a fraction, so 2÷1/2 is intended to mean 2÷(1/2).

Working this according to the order of operations, we have ...

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  = 40 - 8 ÷ 2 ÷ (1/2) + 9 . . . . . . second multiplication

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AleksandrR [38]

Answer:

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Step-by-step explanation:

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