Stats: Ch3

If we're looking at a table where the last column contains decimal numbers between 0 and 1, what type of table are we looking at?

Relative Frequency Table

What is a chart that shows the popularity or mode of a certain type of data based on the population sampled?

Relative Frequency Table

Using the box plot provided, what is the rectangle circled in red?

The entire circled rectangle indicates the interquartile range which is a value that is the difference between the upper quartile value and the lower quartile value.

What do we call a chart that shows the popularity or mode of a certain type of data and the likelihood that a given event will fall below the frequency distribution?

A cumulative frequency table is a chart that shows the popularity or mode of a certain type of data and the likelihood that a given event will fall below the frequency distribution.

Why might we represent a data set with a box plot?

Because we want to see the data set's quartiles, minimum, and maximum values on a number line.

Using the box plot provided, what is the vertical line circled in red?

The line that creates the left side of the box represents lower quartile, or quartile 1, and the line that creates the right side of the box represents the upper quartile, or quartile 3.

A stem-and-leaf display is constructed for a set of numbers all less than 100. What should the stem in the stem-and-leaf display represent?

The tens place

What is a Frequency Table?

This is a frequency table that shows the types of animals that are chosen as pets and the frequency that they are chosen.

Using the following table, determine the percent increase in people who ride their bikes to work. first-year - 12 & second year - 18.

((18 - 12) / 12) = 0.50 ∗ 100 = 50 %

Using this chart, determine the percent increase of bus riders. first year - 3 & second year - 4.

(4 - 3) /3 = 0.33 ∗ 100 = 33%

What is the relative frequency of wins if a football team's record is 3 wins and 12 losses?

3/15 = 0.2 or 20%

What is the term for data that is grouped by type or object, not by numbers?

Categorical

To create a frequency polygon, you must first:

Create a histogram

What is a visual representation of data where numbers on the left side of a chart show one part of each value, while numbers on the right side of the chart show the other?

Stem-and-leaf display

Using the box plot provided, what is the vertical line circled in red?

The vertical line on the far left is the extreme minimum value.

If this stem-and-leaf display is based on the data set below, then what is TRUE about the stem-and-leaf display? 10, 12, 7, 1, 4, 13, 7, 6, 13

There should not be a zero in the one's rows for 2, 3, 4, and 5 in the stem-and-leaf display.

What is a Relative Frequency Table?

This is a relative frequency table as it not only shows the types of animals and how many were selected, but it also gives the percentage rate that they were chosen out of the entire count.

If you have a data set, and you need to look at what numbers in the population fall below a certain value, what is a visual representation you can create to help analyze the data?

Cumulative frequency table

Savanna and Jon are arguing over the use and definition of a frequency polygon. Jon says that a frequency polygon must always be shown with the histogram bars. Savanna says that a frequency polygon can be shown with or without the bars. Who is right, and why?

Savanna is right because a frequency polygon can be shown with or without the histogram bars. The frequency polygon points must be set at the midpoint of the histogram bars to show accuracy, but after the frequency polygon is created, you can remove the bars to see the graph more clearly.

What is the shape of a graph that peaks to the left or the right of the center?

Skewed

Which axis of a histogram usually shows the categories into which the various members of a data set fall?

The horizontal axis

Using the box plot provided, what is the vertical line circled in red?

The line in the middle of the box, slightly to the left, is the median, which is the midpoint value of a data set, where the values are arranged in ascending or descending order.

A student makes a dot plot to represent the grades their classmates got on the last test, and finds that it makes a shape that is mirrored nearly perfectly across a line at the mean. Is this shape symmetrical? Why or why not?

Yes, it's symmetrical, because the shape is mirrored nearly perfectly across a line.

Coach Bernard decides to see how many yards each of his players can kick a football. He has listed the resultant measurements in the following data set: 10, 12, 5, 8, 20, 22, 8, 11, 16, 27, 23, 6, 9, 24, 18, 16, 13, 21. Using this data set, create a cumulative frequency table. Based on the cumulative frequency table, how many players can kick fewer than 10 yards?

You can see that the players who kicked fewer than 10 yards had a yardage of 5, 8, 8, 6 and 9 yards. That's five different people.

relative frequency of bears with 14 wins & 2 losses. What is the losses?

2/16 = 1/8 = 0.125 which is 12.5% which rounds to 13%.

What is a line graph created by joining all of the top points of a histogram?

A frequency polygon is a line graph created by joining all of the top points of a histogram.

What is a chart that shows the popularity or mode of a certain type of data?

Frequency table

What is a graphical representation of the distribution of data?

Histogram

Histograms are very similar to what other graphical representation of numbers?

Histograms are very similar to bar graphs.

What are groups of information that are scaled and separated equally?

Intervals

What is the term for the type of data that is measurable?

Numerical

Susanne has a set of data she is using to create a histogram. If the set of numbers below is her data set, then which number in the data set will create the highest peak? 2, 2, 3, 5, 6, 7, 8, 6, 5, 2, 3, 4, 2, 5, 6, 2

Remember that the tallest peak of a histogram will give you the mode, or the most popular choice, in the data set. In regards to Susanne's data, we see that '2' is the most frequent number, so it will create the highest peak.

What does the vertical, or y-axis, on a frequency polygon show?

The frequency observed for each item on the horizontal axis

What can we show using a histogram?

You can use histograms to show the popularity, or modes, of certain types of data.

relative frequency of lions with 14 wins & 2 losses. What is the wins?

14/16 = 7/8 = 0.875 or 87.5% which rounds to 88%

Using the stem-and-leaf display below, select the correct data set that corresponds to the display.

17, 28, 32, 32, 48, 56

Which of the following rows should be part of the stem-and-leaf display for the following data set? 1, 53, 22, 33, 22, 23, 32, 7

2 | 2 2 3

A chart that shows the popularity or mode of a certain type of data is what?

Frequency Table

Jonathon has two data sets that have the same sample size. He has already created a frequency table for each set of data. What is a good way to compare this data visually?

Frequency polygon

A dot plot is a visual representation of data using intervals or categories of variables, with each dot representing _____.

A dot plot is a visual representation of data using intervals or categories of variables; the dots represent an observation in the data.