Data Analysis and Probability - ISEE Middle Level Quantitative Reasoning
Card 0 of 3783
Find the mode of this set of numbers:
Find the mode of this set of numbers:
Find the most recurring number: 
Find the most recurring number:
Compare your answer with the correct one above
Find the mode of the set of numbers:
Find the mode of the set of numbers:
The mode is the number that appears most frequently in the data set: 
The mode is the number that appears most frequently in the data set:
Compare your answer with the correct one above
Find the mode in this set of numbers:
7435, 8976, 2784, 7435, 1289, 8976, 2110, 8992, 8976, 2784.
Find the mode in this set of numbers:
7435, 8976, 2784, 7435, 1289, 8976, 2110, 8992, 8976, 2784.
Find the most recurring number in the set.
The answer is 
Find the most recurring number in the set.
The answer is
Compare your answer with the correct one above
Two standard decks of fifty-two cards, one with a red backing and one with a purple backing, are presented to you. The red deck has all of its aces removed; the purple deck has all of its kings removed. Which is the greater quantity?
(A) The probability that a card randomly drawn from the red deck is a seven
(B) The probability that a card randomly drawn from the purple deck is a seven
Two standard decks of fifty-two cards, one with a red backing and one with a purple backing, are presented to you. The red deck has all of its aces removed; the purple deck has all of its kings removed. Which is the greater quantity?
(A) The probability that a card randomly drawn from the red deck is a seven
(B) The probability that a card randomly drawn from the purple deck is a seven
Both modified decks still have four sevens, and both modified decks have forty-eight cards. Therefore, the probability of drawing a seven from the red deck is the same as the probability of drawing a seven from the purple deck: 
.
Both modified decks still have four sevens, and both modified decks have forty-eight cards. Therefore, the probability of drawing a seven from the red deck is the same as the probability of drawing a seven from the purple deck:
Compare your answer with the correct one above
Give the mode of the data set 
Give the mode of the data set
No element in the data set appears more than once; for an element to have a mode, that element must appear at least twice. The set has no mode.
No element in the data set appears more than once; for an element to have a mode, that element must appear at least twice. The set has no mode.
Compare your answer with the correct one above
Which is the greater quantity?
(A) The number of modes of the data set 
(B) 
Which is the greater quantity?
(A) The number of modes of the data set
(B)
The mode of a data set is the element that appears most frequently. The given data set has no repeated elements; it is considered to have no modes. (B) is greater.
The mode of a data set is the element that appears most frequently. The given data set has no repeated elements; it is considered to have no modes. (B) is greater.
Compare your answer with the correct one above
Which is the greater quantity?
(A) The number of modes of the data set 
(B) 
Which is the greater quantity?
(A) The number of modes of the data set
(B)
Arrange the data set in ascending order.
18 appears three times; 65 and 79 appear two times each; therefore, 18 is the only mode, and (B) is greater.
Arrange the data set in ascending order.
18 appears three times; 65 and 79 appear two times each; therefore, 18 is the only mode, and (B) is greater.
Compare your answer with the correct one above
Find the mean in this set of numbers:
5570, 4886, 5226, 4120, 6561, 4120, 6008
Find the mean in this set of numbers:
5570, 4886, 5226, 4120, 6561, 4120, 6008
First, add all the numbers in this set:
Then, divide that amount by the total number in the set:
Answer: The mean is 5213.
First, add all the numbers in this set:
Then, divide that amount by the total number in the set:
Answer: The mean is 5213.
Compare your answer with the correct one above
Find the mean in this set of numbers:
9078, 9008, 9800, 9099, 9009, 9090, 9008
Find the mean in this set of numbers:
9078, 9008, 9800, 9099, 9009, 9090, 9008
First add all the numbers:
Then, divide that number by 7:
Answer: The mean is 9156
First add all the numbers:
Then, divide that number by 7:
Answer: The mean is 9156
Compare your answer with the correct one above
Find the average of these amounts:
\$34.78, \$21. 69, \$76.89, \$47.88
Find the average of these amounts:
\$34.78, \$21. 69, \$76.89, \$47.88
First, add all the amounts:
Then, divide by 4:
Answer: The average is 45.31
First, add all the amounts:
Then, divide by 4:
Answer: The average is 45.31
Compare your answer with the correct one above
Find the mean of the following set of numbers: 227, 215, 206, 238, 249
Find the mean of the following set of numbers: 227, 215, 206, 238, 249
Add the numbers, and divide by 5:
Add the numbers, and divide by 5:
Compare your answer with the correct one above
Find the mean in this set of numbers:
210, 120, 110, 220, 120
Find the mean in this set of numbers:
210, 120, 110, 220, 120
First, add up all of the numbers in the set:
Then, divide: 
Answer: The mean is 156.
First, add up all of the numbers in the set:
Then, divide:
Answer: The mean is 156.
Compare your answer with the correct one above
Refer to the above diagram. The top row gives a sequence of figures. Which figure on the bottom row comes next?
Refer to the above diagram. The top row gives a sequence of figures. Which figure on the bottom row comes next?
The square with the diagonal line alternates between the square on the left and the square on the right. Therefore, the next figure in the sequence will have its diagonal line in the rightmost square, eliminating Figures (b) and (d) and leaving Figures (a) and (c).
Also, the shaded square moves one position to the right from figure to figure, so in the next figure, the shaded square must be the one at the extreme right. Figure (c) matches that description.
The square with the diagonal line alternates between the square on the left and the square on the right. Therefore, the next figure in the sequence will have its diagonal line in the rightmost square, eliminating Figures (b) and (d) and leaving Figures (a) and (c).
Also, the shaded square moves one position to the right from figure to figure, so in the next figure, the shaded square must be the one at the extreme right. Figure (c) matches that description.
Compare your answer with the correct one above
Patricia is shopping for a coat. She is considering three coats. Each costs \$85.98, \$93.29 and \$88.99, respectively. What is the average price of a coat she is considering?
Patricia is shopping for a coat. She is considering three coats. Each costs \$85.98, \$93.29 and \$88.99, respectively. What is the average price of a coat she is considering?
First, add up all of the prices:
Then, divide 
.
Answer: The average price of a coat is \$89.42.
First, add up all of the prices:
Then, divide
Answer: The average price of a coat is \$89.42.
Compare your answer with the correct one above
Which is the greater quantity?
(A) The median of the data set 
(B) The median of the data set 
Which is the greater quantity?
(A) The median of the data set
(B) The median of the data set
Each data set has five elements; the median is the element in the middle after the elements are arranged in ascending sequence, which both are. In each case, the median will be the third-highest element. Since in both data sets, this element is 100, the medians are equal.
Each data set has five elements; the median is the element in the middle after the elements are arranged in ascending sequence, which both are. In each case, the median will be the third-highest element. Since in both data sets, this element is 100, the medians are equal.
Compare your answer with the correct one above
An arithmetic sequence begins:
Which is the greater quantity?
(a) 
(b) The tenth term of the sequence
An arithmetic sequence begins:
Which is the greater quantity?
(a)
(b) The tenth term of the sequence
The common difference of the sequence is 
. The tenth term of the sequence is 
.
This makes (b) greater.
The common difference of the sequence is
This makes (b) greater.
Compare your answer with the correct one above
Consider the data set 
Which of the following elements replaces the box to make 30 the mode of the data set?
Consider the data set
Which of the following elements replaces the box to make 30 the mode of the data set?
Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element) - that is, 40 will be the mode.
Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element) - that is, 40 will be the mode.
Compare your answer with the correct one above
Find the range in this set of numbers:
9881, 9889, 9818, 9981, 9891, 9918, 9989, 9889, 9198
Find the range in this set of numbers:
9881, 9889, 9818, 9981, 9891, 9918, 9989, 9889, 9198
First, order the numbers from least to greatest:
Then, find the difference of the largest and smallest number:
Answer: The range is 791.
First, order the numbers from least to greatest:
Then, find the difference of the largest and smallest number:
Answer: The range is 791.
Compare your answer with the correct one above
Find the mode in this set of numbers:
22, 24, 28, 23, 27, 24, 29, 35, 23, 42, 42, 24, 26, 25, 26.
Find the mode in this set of numbers:
22, 24, 28, 23, 27, 24, 29, 35, 23, 42, 42, 24, 26, 25, 26.
Find the number that appears most frequently.
Answer: The mode is 24.
Find the number that appears most frequently.
Answer: The mode is 24.
Compare your answer with the correct one above
Which is the greater quantity?
(A) The mode of the data set 
(B) The median of the data set 
Which is the greater quantity?
(A) The mode of the data set
(B) The median of the data set
Arrange the elements in ascending order.
The mode of the set is the element that appears most frequently, which here is 15.
The median of the set is the element that appears in the middle, which here is 19.
(B) is greater.
Arrange the elements in ascending order.
The mode of the set is the element that appears most frequently, which here is 15.
The median of the set is the element that appears in the middle, which here is 19.
(B) is greater.
Compare your answer with the correct one above