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ISEE Upper Level Math : Data Analysis

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6 Diagnostic Tests 244 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #1 :Data Analysis

Venn

Refer to the above Venn diagram.

Define universal set $U = \mathbb{N}$ 自然数的集合。

Define setsandas follows:

$A = \left \{ 1,5,9,13,17,21,... \right \}$

$B = \left \{ 2,5,8,11,14,17...\right \}$

Which of the following numbers is an element of the set represented by the gray area in the diagram?

Possible Answers:

101

105

104

102

103

Correct answer:

104

Explanation:

The gray area represents the set of all elements that are inbut not in.

is the set of integers that, when divided by 3, yield remainder 2. Therefore, we can eliminate 102 and 105, both multiples of 3, and 103, which, when divided by 3, yields remainder 1.

is the set of integers that, when divided by 4, yield remainder 1. Since we donotwant an element from this set, we can eliminate 101, but not 104.

104 is the correct choice.

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Example Question #2 :How To Use A Venn Diagram

Venn

In the above Venn diagram, the universal set is defined as $U = \left \{ a, b, c, d, e, f, g, h\right \}$ . Each of the eight letters is placed in its correct region.

What is $A \cap B$ ?

Possible Answers:

$A \cap B = \left \{ b,d,e,g,h \right \}$

$A \cap B = \left \{ a,f \right \}$

$A \cap B = \left \{ a,c,f \right \}$

$A \cap B = \left \{ a,b,d,e,f,g,h \right \}$

$A \cap B = \left \{ b,c,d,e,g,h \right \}$

Correct answer:

$A \cap B = \left \{ a,f \right \}$

Explanation:

$A \cap B$ is the intersection of setsand- that is, the set of all elements ofthat are elements of bothand. We want all of the letters that fall inbothcircles, which from the diagram can be seen to beand. Therefore,

$A \cap B = \left \{ a,f \right \}$

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Example Question #3 :How To Use A Venn Diagram

Venn

In the above Venn diagram, the universal set is defined as $U = \left \{ a, b, c, d, e, f, g, h\right \}$ . Each of the eight letters is placed in its correct region. Which of the following is equal to $\overline{A\cap B}$ ?

Possible Answers:

$\overline{A\cap B} = \left \{ a,f\right \}$

$\overline{A\cap B} = \left \{ b,c,d,e,g,h\right \}$

$\overline{A\cap B} = \left \{ b,d,e,g,h\right \}$

$\overline{A\cap B} = \left \{ c\right \}$

$\overline{A\cap B} = \left \{ a,c,f\right \}$

Correct answer:

$\overline{A\cap B} = \left \{ b,c,d,e,g,h\right \}$

Explanation:

$\overline{A \cap B}$ is the complement of $A \cap B$ - the set of all elements innotin $A \cap B$ .

$A \cap B$ is the intersection of setsand- that is, the set of all elements ofthat are elements of bothand. Therefore, $\overline{A \cap B}$ is the set of all elements that arenotin bothand, which can be seen from the diagram to be all elements exceptand. Therefore,

$\overline{A\cap B} = \left \{ b,c,d,e,g,h\right \}$ .

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Example Question #4 :How To Use A Venn Diagram

Venn

Possible Answers:

$\overline{A\cup B} = \left \{ b,c,d,e,g,h\right \}$

$\overline{A\cup B} = \left \{ a,f\right \}$

$\overline{A\cup B} = \left \{ a,c,f\right \}$

$\overline{A\cup B} = \left \{ c\right \}$

$\overline{A\cup B} = \left \{ b,d,e,g,h\right \}$

Correct answer:

$\overline{A\cup B} = \left \{ c\right \}$

Explanation:

$\overline{A\cup B}$ is the complement of $A\cup B$ - the set of all elements innotin $A\cup B$ .

$A\cup B$ is the union of setsand- the set of all elements in eitheror. Therefore, $\overline{A\cup B}$ is the set of all elements inneithernor, which can be seen from the diagram to be only one element -. Therefore,

$\overline{A\cup B} = \left \{ c\right \}$

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Example Question #5 :How To Use A Venn Diagram

The following Venn diagram depicts the number of students who play hockey, football, and baseball. How many students play football and baseball?

Problem_9

Possible Answers:

Correct answer:

Explanation:

The number of students who play football or baseball can by finding the summer of the number of students who play football alone, baseball alone, baseball and football, and all three sports.

30+20+3+3=56

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Example Question #6 :How To Use A Venn Diagram

A class ofstudents was asked whether they have cats, dogs, or both.The results are depicted in the following Venn diagram. How many students do not have a dog?

Question_5

Possible Answers:

Correct answer:

Explanation:

First, calculate the number of students with a dog:
9+2=11

接下来,减去wi的学生人数th a dog from the total number of students.

30-11=19

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Example Question #1 :How To Find The Answer From A Table

If a standard die is rolled, what is the probability of getting a 1 or a 2?

Possible Answers:

$\dpi{100} \frac{1}{2}$

$\dpi{100} \frac{1}{6}$

$\dpi{100} \frac{1}{3}$

$\dpi{100} 2$

Correct answer:

$\dpi{100} \frac{1}{3}$

Explanation:

We need to know the total number of possibilities, and the total number of ways to achieve our goal.

A standard die has 6 faces, so there are a total of 6 numbers that we could roll.

We want to roll a 1 or a 2, which means there are 2 ways that we can succeed (rolling a 1 or a 2).

Thus, we have a probability of success as $\dpi{100} \frac{2}{6}$ which reduces to $\dpi{100} \frac{1}{3}$ .

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Example Question #2 :How To Find The Answer From A Table

The beverage menu from a restaurant reads as follows:

$\begin{matrix} \textrm{\underline{Beverage}} & \textrm{\underline{Price}} \\ \textrm{Soda}& \$1.29 \\ \textrm{Iced Tea} & \$1.39 \\ \textrm{Coffee} & \$1.69 \\ \textrm{Hot Tea} & \$1.59 \\ \textrm{Milk} & \$1.49 \end{matrix}$

Ten friends go out for drinks. They order four sodas, two coffees, two iced teas, a milk, and a hot tea. One of the ten agrees to leave the entire amount of the tip, which is to be 20% of the check. What is the amount of the tip (round to the nearest dime)?

Possible Answers:

$\$ 3.30$

$\$ 2.70$

$\$ 2.90$

$\$ 3.10$

$\$ 3.50$

Correct answer:

$\$ 2.90$

Explanation:

The costs of the beverages will be as follows:

$\begin{matrix} \textrm{4 Sodas}& \4 \times $1.29 = \$5.16 \\ \textrm{2 Iced Teas} & 2 \times \$1.39 = \$2.78 \\ \textrm{2 Coffees} &2 \times \$1.69 = \$3.38 \\ \textrm{1 Hot Tea} & \$1.59 \\ \textrm{1 Milk} & \$1.49 \end{matrix}$

添加these amounts:

$\begin{matrix} \; \$5.16\\ \; \; 2.78\\ \; \; 3.38\\ \; \; 1.59\\\; \; \underline{1.49}\\ \$14.40 \end{matrix}$

20% of $14.40 is $14.40 \times 0.20 = 2.88$ , or $2.90 when rounded to the nearest dime.

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Example Question #3 :How To Find The Answer From A Table

Temperature

Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.

On how many days that week did Smithville see a peak temperature 75 degrees or greater?

Possible Answers:

Correct answer:

Explanation:

There were four days that saw a peak temperature of 75 degrees or greater:

Monday: 76 degrees

Tuesday: 80 degrees

Wednesday: 77 degrees

Friday: 78 degrees

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Example Question #4 :How To Find The Answer From A Table

Temperature

Refer to the above graph, which shows the high temperatures in the town of Smithville over seven days.

Which day of this week saw the highest peak temperature?

Possible Answers:

Tuesday

Friday

Monday

Wednesday

Thursday

Correct answer:

Tuesday

Explanation:

The highest point on the line graph is located at Tuesday.

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ISEE Upper Level Math : Data Analysis

Study concepts, example questions & explanations for ISEE Upper Level Math

All ISEE Upper Level Math Resources

Example Questions

Example Question #1 :Data Analysis

Example Question #2 :How To Use A Venn Diagram

Example Question #3 :How To Use A Venn Diagram

Example Question #4 :How To Use A Venn Diagram

Example Question #5 :How To Use A Venn Diagram

Example Question #6 :How To Use A Venn Diagram

Example Question #1 :How To Find The Answer From A Table

Example Question #2 :How To Find The Answer From A Table

Example Question #3 :How To Find The Answer From A Table

Example Question #4 :How To Find The Answer From A Table

All ISEE Upper Level Math Resources

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