Inferring From Data

The practice or science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample.

• data

• statistics

• descriptive statistics

• inferential statistics

Has to do with making generalizations about the drawing conclusions from the data collected.

• data

• statistics

• descriptive statistics

• inferential statistics

Marvin's grades currently in math are 100, 97, 98, 74, and 85. Gavin's grades currently in math are 98, 100, 88, 91, and 65. Find the range of each student's scores and make an inference about their ranges.

Ten fourth-grade girls and ten seventh-grade girls were randomly selected. Their heights, in inches, are recorded below. 4th Grade 56, 47, 54, 51, 53, 58, 48, 54, 46, 53 7th Grade 57, 58, 60, 64, 62, 52, 57, 60, 65, 55 Find the range of both classes heights' and make an inference about them.

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

• Twenty-four percent of those sampled say they like mountain vacations best.

• An estimated 720 club members would likely say they enjoy mountain vacations best.

• Almost one-quarter of club members would likely say they enjoy mountain vacations best.

• More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

What inference can you draw from this survey?

• I can infer that most students in this school like pizza.

• I can infer that very few students like hamburgers.

• I can infer that their favorite is corn dogs.

• I can infer that most students in this school like hamburgers.

True or False: all samples lead to a good prediction about an entire population.

• True

• False

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below. 4th Grade 56, 47, 54, 51 7th Grade 57, 58, 60, 64 Find the range for both classes and make an inference about the range of scores.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 72%, 71%, and 74%, what inference can you make based on those averages?

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 81%, 82%, and 99%, what inference can you make based on those averages?