Patterns in Data Review

Measures of Center: in this unit we covered the three measures of center—mean, median, and mode. Reflect back on what you have learned about these to answer questions #1 through #6.

4

Calculate the mean and the median of Jon’s Science Test Scores.
Also include what shape the distribution would be based on the relationship of the two values.

1

mean = median

mean > median

mean < median

1

mean = median

mean > median

mean < median

1

mean = median

mean > median

mean < median

1

How can you estimate the mean of a histogram when you do not have the actual data values that created it?

1

Determine which of the following are good estimates for the mean of the distribution—circle your answer choices.

In this unit we learned that there are three unique shapes when describing distributions: approximately normal, skewed to the right, and skewed to the left. Reflect back on what you have learned about these to answer questions #7 through #10.

1

approximately normal

skewed to the right

skewed to the left

1

approximately normal

skewed to the right

skewed to the left

1

approximately normal

skewed to the right

skewed to the left

1

Match each type of distribution shape with the correct relationship between the mean and the median.

Measures of Variability: in this unit we covered two measures of variability—Range and Interquartile Range. Reflect back on what you have learned about these to answer questions #11 through #17.

1

Which measure of variability can be found by calculating the difference between the upper quartile and the lower quartile?

Range

Interquartile Range

1

Which measure of variability can be found by calculating the difference between the maximum and the minimum?

Range

Interquartile Range

1

Which measure of variability do we consider more reliable because it is more typical of the data set and is not generally affected by unusually high or low values?

Range

Interquartile Range

1

Which measure of variability is the “box” of a box and whisker plot?

Range

Interquartile Range

1

Which measure of variability represents 100% of the data?

Range

Interquartile Range

1

Which measure of variability represents the middle 50% of the data?

Range

Interquartile Range

1

Which measure of variability is also referred to as the “spread” of the data?

Range

Interquartile Range

Putting it all together—this last section of the review we will use to interpret and compare and summarize using all of the concepts we have learned in this unit on Patterns in Data.

1

Recall that each section of a box and whisker plot is 25% of the data in the distribution--use this fact to select ALL of the statements below that are true based on the stacked box plot of Test Scores for Kyle and Amira.

25% of Kyle’s Test Scores were a 78 or better

50% of Amira’s Test Scores were an 88 or under

75% of Kyle’s Test Scores were a 89 or under

25% of Amira’s Test Scores were between an 83 and an 88

50% of Kyle’s Test Scores were between a 75 and an 89

75% of Amira’s Test Scores were a 78 or better

Kyle’s Test Scores are considered to be more consistent or reliable than Amira’s

4

Answer the four questions shown using the box plot.

1

How many students are in Mrs. Berkey’s Class?

1

What is the lowest possible Test Score in Mrs. Berkey’s Class?

1

The average temperatures in the summer have a greater spread than those in the spring.

Nokorɛ

Ɛnyɛ ampa

1

50% of the average temperatures in the Spring fall between 55 degrees and 75 degree.

Nokorɛ

Ɛnyɛ ampa

1

75% of the average temperatures in the Summer are 85 degrees and above.

Nokorɛ

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1

Which restaurant will have a mean value that is greater than it's median value?

The Red Brick Grill because it is approximately normal in shape

Sophie's Cafe because it is approximately normal in shape

The Red Brick Grill because it is skewed to the right

Sophie's Cafe because it is skewed to the right

The Red Brick Grill because it is skewed to the left

Sophie's Cafe because it is skewed to the left

1

Which statement correctly summarizes the interquartile range of Sophie's Cafe?

50% of the entree prices are between $5 and $9

50% of the entree prices are between $7 and $9

50% of the entree prices are between $5 and $7

50% of the entree prices are between $6 and $8

1

Which Restaurant has an outlier in it's distribution?

The Red Brick Grill

Sophie's Cafe

Patterns in Data Review

Calculate the mean and the median of Jon’s Science Test Scores.Also include what shape the distribution would be based on the relationship of the two values.

How can you estimate the mean of a histogram when you do not have the actual data values that created it?

Determine which of the following are good estimates for the mean of the distribution—circle your answer choices.

Match each type of distribution shape with the correct relationship between the mean and the median.

Which measure of variability can be found by calculating the difference between the upper quartile and the lower quartile?

Which measure of variability can be found by calculating the difference between the maximum and the minimum?

Which measure of variability do we consider more reliable because it is more typical of the data set and is not generally affected by unusually high or low values?

Which measure of variability is the “box” of a box and whisker plot?

Which measure of variability represents 100% of the data?

Which measure of variability represents the middle 50% of the data?

Which measure of variability is also referred to as the “spread” of the data?

Recall that each section of a box and whisker plot is 25% of the data in the distribution--use this fact to select ALL of the statements below that are true based on the stacked box plot of Test Scores for Kyle and Amira.

Answer the four questions shown using the box plot.

How many students are in Mrs. Berkey’s Class?

What is the lowest possible Test Score in Mrs. Berkey’s Class?

The average temperatures in the summer have a greater spread than those in the spring.

50% of the average temperatures in the Spring fall between 55 degrees and 75 degree.

75% of the average temperatures in the Summer are 85 degrees and above.

Which restaurant will have a mean value that is greater than it's median value?

Which statement correctly summarizes the interquartile range of Sophie's Cafe?

Which Restaurant has an outlier in it's distribution?

Calculate the mean and the median of Jon’s Science Test Scores.Also include what shape the distribution would be based on the relationship of the two values.

How can you estimate the mean of a histogram when you do not have the actual data values that created it?

Determine which of the following are good estimates for the mean of the distribution—circle your answer choices.

Match each type of distribution shape with the correct relationship between the mean and the median.

Which measure of variability can be found by calculating the difference between the upper quartile and the lower quartile?

Which measure of variability can be found by calculating the difference between the maximum and the minimum?

Which measure of variability do we consider more reliable because it is more typical of the data set and is not generally affected by unusually high or low values?

Which measure of variability is the “box” of a box and whisker plot?

Which measure of variability represents 100% of the data?

Which measure of variability represents the middle 50% of the data?

Which measure of variability is also referred to as the “spread” of the data?

Recall that each section of a box and whisker plot is 25% of the data in the distribution--use this fact to select ALL of the statements below that are true based on the stacked box plot of Test Scores for Kyle and Amira.

Answer the four questions shown using the box plot.

How many students are in Mrs. Berkey’s Class?

What is the lowest possible Test Score in Mrs. Berkey’s Class?

The average temperatures in the summer have a greater spread than those in the spring.

50% of the average temperatures in the Spring fall between 55 degrees and 75 degree.

75% of the average temperatures in the Summer are 85 degrees and above.

Which restaurant will have a mean value that is greater than it's median value?

Which statement correctly summarizes the interquartile range of Sophie's Cafe?

Which Restaurant has an outlier in it's distribution?

Calculate the mean and the median of Jon’s Science Test Scores.
Also include what shape the distribution would be based on the relationship of the two values.

Calculate the mean and the median of Jon’s Science Test Scores.
Also include what shape the distribution would be based on the relationship of the two values.