# High School Math : Basic Statistics

## Example Questions

### Example Question #6 : Understanding Mean, Median, And Mode

Which statement is true concerning the following data set:        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 #7 : 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?      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 #8 : 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?      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 #9 : 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 median temperature?      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 #10 : Understanding Mean, Median, And Mode

What is the probability of rolling an odd sum less than seven when rolling two standard six-sided dice?      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  ### Example Question #11 : Data Properties

When using a standard deck of cards, what is the probability of drawing two black cards followed by a single red card, assuming no replacement?      Explanation: Probability is a fraction between and that shows how likely something is to happen.  The numerator represents target outcomes, and the denominator represents the total outcomes to choose from, or the sample space.  ### Example Question #12 : Data Properties

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the mean value of the six homes?      Explanation:

The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group.  In this case, six homes are for sale.  The six home values are added together , then that value is divided by six.

### Example Question #1 : How To Find The Median For A Set Of Data

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the median value of the six homes?      Explanation:

The median is determined by ordering the values in the group from least to greatest: 155, 214, 305, 315, 535, 720.  The value directly in the middle is the median.  For instance, if there are five numbers, the third is the median.  Here, we have an even number of values so there is no value directly in the middle.  To find the median when there is no middle-most value, find the average of the two middle values.  The mean is determined by adding the two values and dividing by two (the number in the group): ### Example Question #2 : Univariate Data

A bird watcher observed how many birds came to her bird feeder for four days.  These were the results:

Day 1: 15

Day 2: 12

Day 3: 10

Day 4: 13

What is the mean number of birds?      Explanation:

The mean is calculated by adding the values from the four days together, then dividing the sum by the total number of values.  In this case, four values must be added:  ### Example Question #1 : Univariate Data

What is the mode of the following list of numbers?

35, 17, 4, 25, 7, 4, 17, 26, 8, 17       