9. Assessment Questions

Convert this data to frequency table: 5, 3, 7, 5, 2, 3, 5

To create a frequency table from the given data set (5, 3, 7, 5, 2, 3, 5), we first need to count how many times each unique number appears. We organize this information in a table format. The unique numbers in our data are 2, 3, 5, and 7. We count: 2 appears once, 3 appears twice, 5 appears three times, and 7 appears once. The frequency table will have the unique numbers in one column and their corresponding counts in another.

Think of it like counting how many different kinds of fruits you have in a fruit basket. If you have apples, bananas, and oranges, you would want to know how many of each kind you have. The frequency table is like that count for numbers—showing how many times each number appears in a batch.

When would you use a bar graph vs pie chart?

Bar graphs and pie charts are both tools used to visually represent data. A bar graph is best used when you want to compare different categories. For example, if you want to show how many students prefer different subjects, each subject can have its own bar. On the other hand, a pie chart is best when you want to show parts of a whole—like when you want to show what percentage of total favorite subjects belongs to each individual subject. If the total responses were 100, then each section of the pie would show a part of that total.

Imagine you're talking about your friends' favorite ice cream flavors. If you want to compare which flavor is most popular among them, a bar graph will show you each flavor clearly side-by-side. But if you want to represent how much of the total votes each flavor received out of everyone's preferences, a pie chart will visually show how each flavor stacks up against the total in a circle.

Calculate P(drawing a red card from standard deck)

To calculate the probability of drawing a red card from a standard deck of playing cards, we first identify the total number of cards and the number of favorable outcomes. A standard deck has 52 cards, and among those, there are 26 red cards (13 hearts and 13 diamonds). The probability formula is P(event) = Number of favorable outcomes / Total outcomes. So, we would calculate P(drawing a red card) as 26 (favorable outcomes) divided by 52 (total outcomes). This simplifies to 1/2, meaning there's a 50% chance of drawing a red card.

Picture a bag filled with red and blue marbles. If you have 26 red marbles and 26 blue marbles, and you're blindfolded and asked to pick one, you have an equal chance of picking either color. This situation mimics the probability with cards—half are red, and half are not, giving you a fair shot at picking a red card.

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