ISEE Middle Level Math : Data Analysis

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

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Example Questions

Example Question #1 : Mode

Find the mode in this set of numbers:

2521, 2512, 2525, 2552, 2551, 2525, 2515

Possible Answers:

\(\displaystyle 2525\)

\(\displaystyle 40\)

\(\displaystyle 2552\)

\(\displaystyle 2550\)

\(\displaystyle 2528\)

Correct answer:

\(\displaystyle 2525\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 2512, 2515, 2521, 2525, 2525, 2551, 2552\)

Identify the most recurring number: \(\displaystyle 2525\)

Answer: The mode is 2525.

Example Question #2 : Mode

Find the mode in this set of numbers:

3343, 4434, 4334, 3343, 4343, 3434, 3334

Possible Answers:

\(\displaystyle 3343\)

\(\displaystyle 4334\)

\(\displaystyle 4434\)

\(\displaystyle 3334\)

Correct answer:

\(\displaystyle 3343\)

Explanation:

Identify the most recurring number: \(\displaystyle 3343\)

Answer: The mode is 3343.

Example Question #131 : Data Analysis

Find the mode in this set of numbers:

6363, 6336, 6633, 6333, 6363, 6663

Possible Answers:

\(\displaystyle 6336\)

\(\displaystyle 6363\)

\(\displaystyle 6663\)

\(\displaystyle 6633\)

Correct answer:

\(\displaystyle 6363\)

Explanation:

Find the most recurring number: \(\displaystyle 6363\)

Answer: The mode is 6363

Example Question #132 : Data Analysis

Find the mode in this set of numbers:

5855, 5588, 5585, 5858, 5885, 5558, 5885

Possible Answers:

\(\displaystyle 5885\)

\(\displaystyle 5858\)

\(\displaystyle 5585\)

\(\displaystyle 5855\)

Correct answer:

\(\displaystyle 5885\)

Explanation:

Find the most recurring number: \(\displaystyle 5885.\).

Answer: The mode is 5885.

 

Example Question #133 : Data Analysis

Find the mode in this set of numbers:

\(\displaystyle 6776, 6677,6767, 6676, 6766, 6777,6677\)

Possible Answers:

\(\displaystyle 6766\)

\(\displaystyle 6767\)

\(\displaystyle 6677\)

\(\displaystyle 6776\)

Correct answer:

\(\displaystyle 6677\)

Explanation:

Find the most recurring number: \(\displaystyle 6677\)

Answer: The mode is 6677.

Example Question #134 : Data Analysis

Give the mode(s) of this data set: 

\(\displaystyle \left \{ 1,4,4,4,6,7,7,7,9,10 \right \}\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 7\)

\(\displaystyle 6.5\)

\(\displaystyle 5.5\)

\(\displaystyle 4 \textrm{ and }7\)

Correct answer:

\(\displaystyle 4 \textrm{ and }7\)

Explanation:

The mode of a data set is the value or values that appears the most frequently. 4 and 7 appear three times each, and no other value appears more than once. 4 and 7 are therefore the two modes.

Example Question #135 : Data Analysis

Give the mode(s) of this data set: 

\(\displaystyle \left \{ 1,3,4,4,6,7,7,7,9,10 \right \}\)

Possible Answers:

\(\displaystyle 5.5\)

\(\displaystyle 7\)

\(\displaystyle 4 \textrm{ and }7\)

\(\displaystyle 5.8\)

\(\displaystyle 6.5\)

Correct answer:

\(\displaystyle 7\)

Explanation:

The mode of a data set is the value or values that appears the most frequently. 7 appears three times, 4 appears two times, and no other value appears more than once. 7 is therefore the only mode.

Example Question #136 : Data Analysis

Find the mode in this set of numbers:

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

\(\displaystyle 9080\)

\(\displaystyle 9008\)

\(\displaystyle 9800\)

\(\displaystyle 9009\)

Correct answer:

\(\displaystyle 9008\)

Explanation:

Find the most recurring number: 9008.

Answer: The mode is 9008.

Example Question #137 : Data Analysis

Subtract the range from the mode in this set of numbers:

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

\(\displaystyle 8216\)

\(\displaystyle 8290\)

\(\displaystyle 8210\)

\(\displaystyle 8288\)

Correct answer:

\(\displaystyle 8216\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 9008, 9008, 9009, 9080, 9090, 9099, 9800\)

Then, find the range (subtract the smallest number from the greatest):

\(\displaystyle 9800-9008=792\)

Then, find the mode (identify the most recurring number): \(\displaystyle 9008\)

Finally, subtract the range from the mode:

\(\displaystyle 9008-792=8216\)

Answer: 8216.

Example Question #138 : Data Analysis

Find the mode in this set of numbers:

212, 121, 112, 221, 122, 121

Possible Answers:

\(\displaystyle 121\)

\(\displaystyle 212\)

\(\displaystyle 112\)

\(\displaystyle 122\)

Correct answer:

\(\displaystyle 121\)

Explanation:

Identify the most recurring number: \(\displaystyle 121\)

Answer: The mode is 121.

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