Unit 1 Study Guide Part 2

In science class, Clare and Lin estimate the mass of eight different objects that actually weigh 2,000 grams each.

Some summary statistics:

Clare

mean: 2,000 grams MAD: 275 grams median: 2,000 grams IQR: 500 grams

Lin

mean: 2,000 grams MAD: 225 grams median: 1,950 grams IQR: 350 grams

Which student was better at estimating the mass of the objects?

• Clare

• Lin

Answer explanation

Lin was better at estimating than Clare because both students had measures of center very close to 2,000 grams, but Lin’s responses were less variable as determined by both the MAD and the IQR.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Four amateur miniature golfers attempt to finish 100 holes under par several times. Each round of 100, the number of holes they successfully complete under par is recorded. Due to the presence of extreme values, box plots were determined to be the best representation for the data.

List the four box plots in order of variability from least to greatest.

Answer explanation

c, a, b, d

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5

Select all the distribution shapes for which the median could be much less than the mean.

• A: symmetric

• B: bell-shaped

• C: skewed left

• D: skewed right

• E: bimodal

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The mean of data set A is 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.

Which data set shows greater variability?

• Data set A

• Data set B

Answer explanation

B shows greater variability because the MAD is greater than the MAD for A.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Select all the distribution shapes for which the mean and median must be about the same.

• A: bell-shaped

• B: bimodal

• C: skewed

• D: symmetric

• E: uniform

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

What is the IQR?

• A: 5 branches

• B: 7 branches

• C: 10 branches

• D: 12 branches

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The data represent the number of cans collected by different classes for a service project.

12 14 22 14 18 23 42 13 9 19 22 14

Find the mean.

Tags

CCSS.6.SP.A.3

CCSS.6.SP.B.5

The data represent the number of cans collected by different classes for a service project.

12 14 22 14 18 23 42 13 9 19 22 14

Find the median.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Select all the statements that are true about standard deviation.

• A: It is a measure of center.

• B: It is a measure of variability.

• C: It is the same as the MAD.

• D: It is calculated using the mean.

• E: It is calculated using the median.

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

Which box plot has the largest interquartile range?

• 
• 
• 
• 

Tags

CCSS.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.4

CCSS.6.SP.B.5