Comparative Inferences

Comparative Inferences

Multiple Choice

Valid inferences are based on data and are most likely true.

• TRUE

• FALSE

Multiple Choice

A ___ is the entire group of objects or individuals being studied.

• sample

• population

• random sample

• quartile

Multiple Choice

A ___ is a part of a group being surveyed.

• sample

• population

• random s

• quartile

Multiple Select

In order to collect good data, the sample needs to be unbiased.

To have an unbiased sample, it should be ___ and ___.

Select two answer choices.

• randomly selected

• rationalized through data

• representative of the population

• reflective of the needs of the survey

Multiple Choice

Several students were surveyed about their favorite drinks.

22 Fanta, 34 Pepsi, 20 Coke, and 29 Grape.

Predict how many students will like Coke if 500 students are surveyed?

• 158
• 60
• 142
• 95

Multiple Choice

Bob asked 8 band members and found that 3 members play more than one instrument.

Use his results to predict how many of Oak School's 152 band members play more than one instrument.

• 3/8
• 405
• 57
• 60

Multiple Choice

The TV station wants to get the opinion of viewers on the look of a new game-show set.  

The station's staff calls random people in the phone book.  Is this biased or unbiased?

• Biased
• Unbiased

Multiple Choice

The Candlelit-Dinner Candle Store surveys its Monday customers to find out their opinion on a new scented candle.  Is this biased or unbiased?

• Biased
• Unbiased

Multiple Choice

The mean is found by ___ all of the numbers and then ___ by the number of items.

• adding

  subtracting

• adding

  multiplying

• dividing

  adding

• adding

  dividing

Multiple Choice

Find the mean of these numbers.
5, 11, 2, 12, 4, 2

• 4.1
• 6
• 4.5
• 4

Multiple Choice

Lizzy had test scores of 72, 94, 108, 60.
What is the range of her test scores?

• 12
• 72
• 48
• 98

Interquartile Range (IQR)

Multiple Choice

What is the interquartile range?

• 4
• 6
• 2
• 8

Median

When given data, the median is found in the middle AFTER the values are ordered from least to greatest.

On a box-and-whisker plot, the median is the line inside the box.

Multiple Choice

When finding the median, what do you do if there are two numbers in the middle of the set of data?

• Add them together and divide by 2.

• Write them both as the answer.

• Give up.

• Pick one.

Multiple Choice

Find the median of the set of numbers.

60, 58, 52, 48, 60, 67

• 58

• 59

• 60

• 118

Multiple Choice

Find the median.

• 98
• 93
• 78
• 85

Multiple Choice

Find the median.

3, 5, 7, 4, 3, 1

• 3 and 4
• There isn't one.

• 3.5
• 3

Measures of Variability

RANGE & IQR

Measures of variability describe the spread of the data.

If the range/IQR of the data is small, the variability is low.

If the range/IQR of the data is large, the variability is high.

Measures of Variability

RANGE & IQR

Measures of variability also describe the consistency in the data.

If the range/IQR of the data is small, the consistency is high.

If the range/IQR of the data is large, the consistency is low.

Multiple Select

What are two measures of variability & consistency?

• IQR

• mean

• median

• mode

• range

Multiple Choice

Which class was more consistent in their Algebra scores?

• Class #2
• Class #1
• Both classes had the same consistency.

Multiple Choice

Compare the dot plots. Which dot plot has the greatest variability? 

• Ms. Sanson's class
• Ms. Kwei's class
• They have equal variability.

Multiple Choice

Which dot plot has the greatest variability?

• A
• B
• C
• D

Multiple Choice

Based on measures of center, which restaurant has a longer wait time?

• Lucy's Steakhouse

• Gary's Grill

• The wait times are the same.

Multiple Choice

Based on measures of center, which club attends more car shows?

• Cruisers

• Car Hops

Multiple Choice

Which club has greater variability?

• Car Hops

  The box is shorter.

• Cruisers

  IQR = 6

• Car Hops

  IQR = 4

• Cruisers

  IQR = 13

Multiple Choice

What inference can you make about the test scores?

• Based on the median, Class 1 has better scores than Class 2.

• Based on the median, Class 2 has better scores than Class 1.

• Based on the IQR, Class 1 has better scores than Class 2.

• Based on the IQR, Class 2 has better scores than Class 1.

Multiple Choice

What inference can you make about the test scores?

• Based on the range, Class 1 is less consistent than Class 2.

• Based on the IQR, Class 2 is more consistent than Class 1.

• Based on the IQR, Class 1 is more consistent than Class 2.

• Based on the range and IQR, the classes are equally consistent.

Math Response

What is the difference in the median gas mileage?

Type answer here

Correct Answer: 5

Deg^°

Rad

Multiple Choice

Paul compares the high temperatures in City 1 and City 2 for one week. In City 1, the range in temperature is 10°F and the IQR is 5°F. In City 2, the range in temperature is 20°F and the IQR is 5°F.

What might you conclude about the weather pattern in each city based on the ranges and IQRs?

• The weather pattern in City 1 is more consistent than the weather pattern in City 2.

• The weather patterns in City1 and City 2 are equally consistent.

• The weather pattern in City 2 is more consistent than the weather pattern in City 1.

• The range and IQR do not provide enough information to make a conclusion.