Data Analysis - PSAT Math

Card 1 of 1757

Didn't Know

Knew It

1 of 2019 left

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

Tap to reveal answer

Answer

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Tap to reveal answer

Answer

This question is asking you to find the intersection of Set A and Set B. The intersection of two sets contains only the things which are already in both Set A and Set B. Because the numbers 5 and 9 are the only numbers that are shared in common between Set A and Set B, the intersection consists of only those two numbers. $A\bigcap B$ : {5, 9}

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Tap to reveal answer

Answer

The mode is the most frequently occurring number in a data set. In this instance, that is .

← Didn't Know|Knew It →

Question

Consider the following dataset:

$\{ -2 , 0 , 1, -4 , 6 , -2, 3 \}$

The arithmetic mean of the dataset is .

The median of the dataset is .

The range of the dataset is .

The mode of the dataset is .

Which of the following statements is true?

Tap to reveal answer

Answer

In general:

$\mbox{ (arithmetic mean) } = \dfrac{ \mbox{ sum of all values } }{ \mbox{ number of observations } }$

In this case the mean is:

$x = \dfrac{(-2)+0+1+(-4)+6+(-2)+3}{7} = 0.286$

To obtain the median, arrange the observations from smallest to largest:

$\{ -4,-2,-2,0,1,3,6 \}$

When there is an odd number of observations, the median is the middle value. In this case:

The range is the difference between the largest and smallest value:

The mode is the value that occurs most often in the dataset:

Since:

we can conclude:

← Didn't Know|Knew It →

Knew It

Data Analysis - PSAT Math

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}. What is ?

means intersection and means union U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A' = {2, 4, 6, 7, 8, 9, 10} B = {2, 4, 6} B' = {1, 3, 5, 7, 8, 9, 10} = {2, 4, 6} = {1, 3, 5} = {1, 2, 3, 4, 5, 6}

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Find .

Find .

Find .

Find .

Find .

Find .

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Find the mode of the following set of numbers:

The mode is the most frequently occurring number in a data set. In this instance, that is .

Consider the following dataset: The arithmetic mean of the dataset is . The median of the dataset is . The range of the dataset is . The mode of the dataset is . Which of the following statements is true?

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

The universal set is positive counting numbers less than 11. Set A = {1, 3, 5} and Set B = { 2, 4, 6}.

What is $(A'\bigcap B)\bigcup(A\bigcap B')$ ?

$\bigcap$ means intersection and $\bigcup$ means union

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A = {1, 3, 5}

A' = {2, 4, 6, 7, 8, 9, 10}

B = {2, 4, 6}

B' = {1, 3, 5, 7, 8, 9, 10}

$(A'\bigcap B)$ = {2, 4, 6}

$(A\bigcap B')$ = {1, 3, 5}

$(A'\bigcap B)\bigcup(A\bigcap B')$ = {1, 2, 3, 4, 5, 6}

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

$\textup{Set}\ A:\left \{ 1,4,5,6,9,10\right \}$

$\textup{Set}\ B:\left \{ 2,3,5,7,9\right \}$

Find $A\bigcap B$ .

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Find the mode of the following set of numbers:

$\left \{ -1,6,5,6,-2,4 \right \}$

Consider the following dataset:

$\{ -2 , 0 , 1, -4 , 6 , -2, 3 \}$

The arithmetic mean of the dataset is .

The median of the dataset is .

The range of the dataset is .

The mode of the dataset is .

Which of the following statements is true?