Slide 1
Candy Samples
Let’s start with the candy example: “How many candies with the letter B are in this candy jar?” The population here is the candies inside the jar. The characteristic of interest is the number of candies with the letter B.
Click on the jar to grab a handful of candies.
Description of work area:
A jar of candies appears on the left of the screen. When the jar is clicked, a handful of candies appears on the right of the screen.
(when jar is clicked, this text and image appear:)
Here is the sample you gathered in your handful. This is a simple random sample.
Description of work area: The sample handful consists of seven red candies, six yellow candies, five green candies, four blue candies, four white candies and four pink candies.
Slide 2
Your sample consisted of 30 candies.
How many candies have the letter B? Type your answer in the blank.
Description of work area: The sample handful consists of seven red candies, six yellow candies, five green candies, four blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the number of candies with the letter “B” can be entered.
Correct answer: four
Slide 3
Your sample consisted of 30 candies.
What proportion of the candies in the sample has the letter B? Enter your answer as a decimal. Round to the nearest thousandth.
Description of work area: The sample handful consists of seven red candies, six yellow candies, five green candies, four blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the proportion of candies with the letter “B” can be entered.
Correct answer: 0.133
Slide 4
You return your handful of candies to the jar. Collect another sample of candy. It is important that this second sample be the same size as the first one.
Click the jar again to collect the sample.
Description of work area:
A jar of candies appears on the left of the screen. When the jar is clicked, a handful of candies appears on the right of the screen.
(when jar is clicked, this text and image appear:)
Here is the sample you gathered in your handful.
Description of work area: The sample handful consists of five red candies, five yellow candies, five green candies, five blue candies, five white candies, and five pink candies.
Slide 5
Your sample consisted of 30 candies.
How many candies have the letter B? Type your answer in the blank.
Description of work area: The sample handful consists of five red candies, five yellow candies, five green candies, five blue candies, five white candies, and five pink candies.
A blank appears below the handful of candies, where the number of candies with the letter “B” can be entered.
Correct answer: five
Slide 6
Your sample consisted of 30 candies.
What proportion of the candies in the sample has the letter B? Enter your answer as a decimal. Round to the nearest thousandth.
Description of work area: The sample handful consists of five red candies, five yellow candies, five green candies, five blue candies, five white candies, and five pink candies.
A blank appears below the handful of candies, where the proportion of candies with the letter “B” can be entered.
Correct answer: 0.167
Slide 7
Collect two more samples, returning your candies to the jar after each sample.
Click on the jar to collect another sample of 30 candies.
Description of work area:
A jar of candies appears on the left of the screen. When the jar is clicked, a handful of candies appears on the right of the screen.
(when jar is clicked, this text and image appear:)
Here is the sample you gathered in your handful.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, four green candies, four blue candies, four white candies, and four pink candies.
Slide 8
Your sample consisted of 30 candies.
How many candies have the letter B? Type your answer in the blank.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, four green candies, four blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the number of candies with the letter “B” can be entered.
Correct answer: four
Slide 9
Your sample consisted of 30 candies.
What proportion of the candies in the sample has the letter B? Enter your answer as a decimal. Round to the nearest thousandth.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, four green candies, four blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the proportion of candies with the letter “B” can be entered.
Correct answer: 0.133
Slide 10
You return the candies to the jar.
Click on the jar to collect another sample of 30 candies.
Description of work area:
A jar of candies appears on the left of the screen. When the jar is clicked, a handful of candies appears on the right of the screen.
(when jar is clicked, this text and image appear:)
Here is the sample you gathered in your handful.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, five green candies, three blue candies, four white candies, and four pink candies.
Slide 11
Your sample consisted of 30 candies.
How many candies have the letter B? Type your answer in the blank.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, five green candies, three blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the number of candies with the letter “B” can be entered.
Correct answer: three
Slide 12
Your sample consisted of 30 candies.
What proportion of the candies in the sample has the letter B? Enter your answer as a decimal.
Description of work area: The sample handful consists of seven red candies, seven yellow candies, five green candies, three blue candies, four white candies, and four pink candies.
A blank appears below the handful of candies, where the proportion of candies with the letter “B” can be entered.
Correct answer: 0.1
Slide 13
This table shows the distribution of your samples.
Description of graph: A dot plot is graphed. The horizontal axis is labeled “Sample Proportion of Candies with the Letter B.” The axis is numbered 0, 0.1 and 0.2 in equal increments. The vertical axis is labeled “Frequency.” There is one dot above 0.1. There are two dots above 0.133. There is one dot above 0.167.
(text on slide) The candy company that manufactures these candies states that, in each jar, 13% of the candies in the jar should be printed with the letter B. The results of our four samples are very close to 13%! The more samples we take, the closer we would see our samples approach 13%. However, it is likely to get some jars with only 10% and some that have 14%, or even 15%.
Slide 14
It is important to take many more examples to see these types of results.
Try taking more samples using your own jar of candy!
Description of graph: A dot plot is graphed. The horizontal axis is labeled “Sample Proportion of Candies with the Letter B.” The axis is numbered 0, 0.1, 0.2 and 0.3 in equal increments. The vertical axis is labeled “Frequency.” There is one dot above 0.9 and there are three dots above 0.1. There are six dots above 0.133. There are four dots above 0.167. There is one dot above 0.2.
Slide 15
You have finished this part of the activity. Return to the main activity to continue.