High School Math : Understanding Mean, Median, and Mode

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1 : Data Properties

 is the ____________ of the following dataset below.

Possible Answers:

median

mean

mode

range

Correct answer:

median

Explanation:

Reorder the numerals in the set, from least to greatest.

The number in the middle is the median. 

The most frequent numeral is the mode. 

The mean is the sum of the numerals divided by the number of data points.

The mean is 15.

The range is the difference between the maximum and the minimum.

The range is 8.

Example Question #2 : Data Properties

For the following data set:

Which is the smallest?

Possible Answers:

Range

Median

None of the answers

Mean

Mode

Correct answer:

Mean

Explanation:

Put the data in order from smallest to largest and then calculate each stastic:  mean, mode, median, range

or

Mode is the most often repeated number or

Median is the number in the middle or

Mean is the sum of the data divided by the number of data points or

Example Question #2 : Data Properties

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Data Properties

Find the median of the following number series:

3, 6, 27, 19, 8, 11, 30, 42, 7, 39

Possible Answers:

30

19

15

11

19.2

Correct answer:

15

Explanation:

The first step to finding the median is always to put the numbers in the proper order:

3, 6, 7, 8, 11, 19, 27, 30, 39, 42

When we have an even amount of numbers, we find the average (or mean) of the middle two to get the median:

11 + 19 = 30/2 = 15

Example Question #5 : Data Properties

With a standard deck of playing cards, what is the probability of picking one red card followed by one black card, without replacement?

Possible Answers:

Correct answer:

Explanation:

In a standard deck of playing cards we have:

So the probability of picking the first card red is .

Then the probability of picking the second card black is because this is without replacement.

They are independent events so the probabilities get multiplied together to give .

Example Question #6 : Data Properties

Which statement is true concerning the following data set:

Possible Answers:

Correct answer:

Explanation:

First, put the data in order, smallest to largest:

Note, the mode is the number most often repeated in the data set and the median is the middle number.

So is the only true statement.

 

Example Question #2 : Understanding Mean, Median, And Mode

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What was the mean temperature for the week?

Possible Answers:

Correct answer:

Explanation:

The mean is calculated by adding all the values in a group, then dividing the sum by the total number in the group. 

 

 

Example Question #3 : Understanding Mean, Median, And Mode

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the mode of the temperatures?

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears most frequently in a series of numbers.  First, organize the numbers in order from least to greatest.  Then, identify the value that is repeated most frequently.

 

Example Question #21 : Basic Statistics

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the median temperature?

Possible Answers:

Correct answer:

Explanation:

The median is determined by ordering the values in the group from least to greatest and identifying the value directly in the middle.  For instance, if five numbers are ordered from least to greatest, the third is the median. 

 

Example Question #5 : Understanding Mean, Median, And Mode

What is the probability of rolling an odd sum less than seven when rolling two standard six-sided dice?

Possible Answers:

Correct answer:

Explanation:

The sample space for rolling two six-sided dice is .

The odd numbers less than seven are one, three, and five.

The smallest sum you can get with two dice is .

sum of

sum of

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