How to find median - ISEE Middle Level Math

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Question

On the last day of school, Adam asked each of his classmates how many days of school they missed for the entire school year. He created a stem-and-leaf plot with the information.

0 | 0 0 2 4 5 6 8

1 | 0 0 1 2

2 | 3

4 | 7

What is the median number of school days missed by Adam's classmates?

Answer

In a stem-and-leaf plot, each number on the right side of the vertical lines is a piece of data. For instance, the "4 | 7" means one student missed 47 days(!) of school. Each number on the left of the line represents the ten's digit, and each number on the right of the line represents the one's digit.

We can find the total number of classmates by counting the numbers on the right side of the vertical lines, which in this case is 13.

The median of a group of data represents the physical middle of the data.

If there is an even number of pieces of data, you take the middle two pieces of data, add them up, and divide by two for the median.

If there is an odd number of pieces of data (such as here), one number represents the median. Since we have 13 pieces of data, the 7th value is the median, because we would have 6 pieces smaller or equal to it, and 6 pieces greater than or equal to it.

The seventh piece of data here is the 8, which is "0 | 8". Since the ten's digit is 0, that means that the median number of days missed is 8.

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Question

Find the median of 56, 12, 34, 73, and 66.

Answer

First, place the numbers in order from smallest to largest:

Then, identify the middle number, as this is the median.

The median is therefore 56.

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Question

Find the median of this set of numbers: 89, 75, 111, 94, 36, 89, 81.

Answer

Place the numbers in order from least to greatest:

36, 75, 81, 89, 89, 94, 111

Identify the middle number in the set. The answer is

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Question

Find the median in this set of numbers:

1144, 1187, 1198, 1034, 1073, 1187, 1081

Answer

First, order the numbers from least to greatest.

Identify the middle number in the set.

Answer: The median is 1144.

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Question

Find the median in this set of numbers:

3021, 3211, 3120, 3102, 3012, 3201, 3210, 3112, 3011

Answer

First, order the numbers from least to greatest:

Then, identify the middle number:

Answer: The median is 3112.

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Question

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

241, 244, 422, 424, 422, 214, 412

Answer

First, order the numbers from least to greatest:

Identify the mode (most frequently appearing number):

Identify the median (middle number):

Finally, subtract the median from the mode:

The answer is 10.

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Question

Find the median in this set of numbers:

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

Answer

First, order the numbers from least to greatest:

Identify the middle number: 2525

Answer: The median is 2525.

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Question

Find the median in this set of numbers:

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

Answer

First order the numbers from least to greatest:

Then, identify the middle number: 3434.

Answer: The median is 3434.

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Question

Shelly took five tests and quizzes this semester in school. If her grades were , , , , and , what is her median test score?

Answer

First, order the test scores from least to greatest:

Identify the middle test score:

Answer: Shelley's median test score is 92.

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Question

Find the median in this set of numbers:

9881, 9889, 9818, 9981, 9891, 9918, 9989, 9889, 9198

Answer

First, order the numbers from least to greatest:

Identify the middle number:

Answer: The median is 9889.

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Question

Find the median in this set of numbers:

6363, 6336, 6366, 6633, 6333, 6363, 6663

Answer

First, order the numbers from least to greatest:

Then, identify the middle number:

Answer: the median is

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Question

Find the median in this set of numbers:

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

Answer

First, order the numbers from least to greatest:

Then, identify the middle number: .

Answer: The median in 9080.

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Question

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

Answer

First, order the numbers from least to greatest:

In order to find the range, subtract the smallest number from the greatest:

Now, find the median by identifying the middle number:

Finally, subtract the range from the median:

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Question

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

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

Answer

First, order the numbers from least to greatest:

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

Then, find the median (the middle number):

Finally, subtract the mode from the median:

Answer: 72.

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Question

Find the median in this set of numbers:

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

Answer

First, order the numbers from least to greatest:

Then, find the middle number: .

Answer: The median is 5855.

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Question

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

Answer

First, order the numbers from least to greatest:

Find the median—the middle number:

Now, find the mode—the most recurring number:

Finally, subtract the median from the mode:

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Question

Find the median in this set of numbers:

Answer

First, order the numbers from least to greatest:

Then, identify the middle number:

Answer: The median is 6766.

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Question

Find the median in this set of numbers:

Answer

First, order the numbers from least to greatest:

Then, identify the middle number: 122

Answer: The median is 122.

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Question

Find the median in this set of numbers:

787, 778, 878, 877, 778

Answer

First, order the numbers from smallest to largest:

Then, identify the middle number:

Answer: The median is .

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Question

Find the median in this set of numbers:

Answer

First, order the numbers from least to greatest:

Then, identify the middle number:

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