Prealgebra Distribution

What percent of Brand A sunflowers are expected to fall between 227 cm and 244 cm?

Answer explanation

The interquartile range (IQR) contains the middle 50% of the data

What is the most accurate statement you can made about the center of the distribution?

• The mean is about 20 text msgs/day

• The median is about 20 text msgs/day

• The median is betweeen 10 and 20 text msgs/day

• The median is between 20 and 30 text msgs/day

• The mode is between 10 and 20 text msgs/day

Answer explanation

There are a total of 22 observations. The median would be the mean of the 11th and 12th values, which fall in the bin from 10 to 20. However, we don't know where in the 2nd bin.

What is the best description of the spread of the data in the boxplot?

• The range is from 5 messages to 42 messages

• The range is 37 messages

• The IQR is from 16.5 messages to 32 messages

• The IQR is 15.5 messages

• The standard deviation is about 12.1 messages

Answer explanation

It's skewed so you must use IQR. IQR is a single number equal to Q3-Q1

What is a reasonble estimate of the standard deviation for the distribution?

• ~10 messages

• ~20 messages

• ~30 messages

• ~50 messages

• ~17.5 messages

Answer explanation

As a rough rule of thumb with mound shaped distributions, one standard deviation below to one stnadard deviation above the mean will capture a bit over half of the data

Is the following a probability distribution?

• Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.

• No, all probabilities are not be between 0 and 1 inclusive

• No, the sum of all the probabilities is not 1.

• Yes, because the distribution is symmetric

Which measure of center should be used to compare the distributions?

If a = 2 evaluate 4a + 5a

• 18

• 94

• 26

• 90

Tags

CCSS.6.EE.A.2C

Simplify the expression:
3(4 + 7y)

• 12 + 21y

• 13 + 21y

• 14 + 21y

• 16 + 21y

Tags

CCSS.6.EE.A.3

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Tags

CCSS.6.EE.A.3

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Tags

CCSS.6.EE.A.3