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ISEE Middle Level Math : Data Analysis

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 52, 58, 54, 55, 57, 51, 56$

Possible Answers:

$\displaystyle 52$

$\displaystyle 58$

$\displaystyle 55$

$\displaystyle 54$

Correct answer:

$\displaystyle 55$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 51, 52, 54, 55, 56, 57, 58$

Identify the middle number: $\displaystyle 55$

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Example Question #22 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 516, 561, 556, 566, 515, 565, 511$

Possible Answers:

565 $\displaystyle 565$

566 $\displaystyle 566$

556 $\displaystyle 556$

511 $\displaystyle 511$

Correct answer:

556 $\displaystyle 556$

Explanation:

First, put the numbers in order from least to greatest:

$\displaystyle 511, 515, 516, 556, 565, 566, 561$

Then, identify the middle number: 556 $\displaystyle 556$

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Example Question #23 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 66, 69, 99, 96, 96$

Possible Answers:

$\displaystyle 96$

$\displaystyle 99$

$\displaystyle 66$

$\displaystyle 69$

Correct answer:

$\displaystyle 96$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 66, 69, 96, 96, 99$

Then, identify the middle number: $\displaystyle 96$

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Example Question #24 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 753, 755, 357, 535, 755, 353, 533$

Possible Answers:

535 $\displaystyle 535$

735 $\displaystyle 735$

353 $\displaystyle 353$

553 $\displaystyle 553$

Correct answer:

535 $\displaystyle 535$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 353, 357,533, 535, 753, 755, 755$

Then, identify the middle number: 535 $\displaystyle 535$

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Example Question #41 : Mean

Consider the data set: $\left \{ 13, 18, 20, 22, 24, 29, 30, 36\right \}$ $\displaystyle \left \{ 13, 18, 20, 22, 24, 29, 30, 36\right \}$

What is the difference between the mean of this set and the median of this set?

Possible Answers:

1.5 $\displaystyle 1.5$

$\displaystyle 1$

$\displaystyle 2$

0.5 $\displaystyle 0.5$

Correct answer:

$\displaystyle 1$

Explanation:

To get the mean, add the numbers and divide by 8:

$\left ( 13+ 18+ 20+ 22+ 24+ 29+ 30+ 36 \right )\div 8 = 192 \div 8 = 24$ $\displaystyle \left ( 13+ 18+ 20+ 22+ 24+ 29+ 30+ 36 \right )\div 8 = 192 \div 8 = 24$

To get the median, find the mean of the fourth- and fifth-highest elements (the ones in the middle):

$(22 + 24) \div 2 = 46 \div 2 = 23$ $\displaystyle (22 + 24) \div 2 = 46 \div 2 = 23$

The difference is $\displaystyle 24-23 = 1$

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Example Question #25 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 598, 589, 588, 598, 599$

Possible Answers:

588 $\displaystyle 588$

598 $\displaystyle 598$

589 $\displaystyle 589$

599 $\displaystyle 599$

Correct answer:

598 $\displaystyle 598$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 588, 589, 598, 598, 599$

Then, identify the middle number: 598 $\displaystyle 598$

Answer: The median is 598.

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Example Question #26 : How To Find Median

Find the median in this set of numbers:

$\displaystyle 245, 244, 254, 255, 254$

Possible Answers:

244 $\displaystyle 244$

254 $\displaystyle 254$

245 $\displaystyle 245$

255 $\displaystyle 255$

Correct answer:

254 $\displaystyle 254$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 244, 245, 254, 254, 255$

Then, identify the middle number: 254 $\displaystyle 254$

Answer: 254

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Example Question #427 : Data Analysis

Find the median in this set of numbers:

$\displaystyle 7890, 7980, 7889, 7898, 7990$

Possible Answers:

7898 $\displaystyle 7898$

7890 $\displaystyle 7890$

7990 $\displaystyle 7990$

7889 $\displaystyle 7889$

Correct answer:

7898 $\displaystyle 7898$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 7889, 7890, 7898, 7980, 7990$

Then, identify the middle number: 7898 $\displaystyle 7898$

Answer: The median is 7898 $\displaystyle 7898$

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Example Question #31 : Median

Find the median in this set of numbers:

$\displaystyle 1185, 1518, 1158, 1581, 1851, 1581, 1815$

Possible Answers:

1581 $\displaystyle 1581$

1851 $\displaystyle 1851$

1815 $\displaystyle 1815$

1518 $\displaystyle 1518$

Correct answer:

1581 $\displaystyle 1581$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 1158, 1185, 1518, 1581, 1581, 1815, 1851$

Then, identify the middle number in the set: 1581 $\displaystyle 1581$

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Example Question #429 : Data Analysis

Find the median in this set of numbers:

$\displaystyle 16, 12 , 13, 17, 18, 19, 11$

Possible Answers:

$\displaystyle 13$

$\displaystyle 16$

$\displaystyle 19$

$\displaystyle 12$

Correct answer:

$\displaystyle 16$

Explanation:

First, order the numbers from least to greatest:

$\displaystyle 11, 12, 13, 16, 17, 18, 19$

Then, identify the middle number: $\displaystyle 16$

Answer: The median is $\displaystyle 16$.

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Data Analysis

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #21 : How To Find Median

Example Question #22 : How To Find Median

Example Question #23 : How To Find Median

Example Question #24 : How To Find Median

Example Question #41 : Mean

Example Question #25 : How To Find Median

Example Question #26 : How To Find Median

Example Question #427 : Data Analysis

Example Question #31 : Median

Example Question #429 : Data Analysis

All ISEE Middle Level Math Resources

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