Descriptive and Inferential Statistics

Any measured quantity of a statistical population that summarises or describes an aspect of the population, such as a mean or a standard deviation.

• Parameter

• Statistic

Tags

CCSS.HSS.IC.B.3

Researchers randomly choose two groups from 16 volunteers. Over a period of 10 weeks, one group

watches television before going to sleep, and the other does not. Volunteers wear monitoring devices while

sleeping, and researchers record dream activity. Which type of study method is described in each situation?

• survey

• controlled experiment

• observational study

Tags

CCSS.HSS.IC.B.3

List the mean, standard deviation, and five-number summary of the following data set. Use a spreadsheet to

calculate the standard deviation.

6, 10, 14, 3, 8, 10, 3, 6, 9, 6

• mean: 8.3; standard deviation: 3.2

  min: 3; Q1: 6; median: 7; Q3: 10; max: 14

• mean: 7.5; standard deviation: 3.2

  min: 3; Q1: 6; median: 8.3; Q3: 10; max: 14

• mean: 7.5; standard deviation: 3.2

  min: 3; Q1: 6; median: 7; Q3: 10; max: 14

Find the IQR.

10, 14, 20, 15, 12, 13, 24

Tags

CCSS.6.SP.B.5C

What is a sample? Choose ALL that apply.

• A subset of a population

• Helps us make inferences about the population

• A entire population.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

The data to the right were collected from all race participants to answer the? question, "What is the average

age of runners in the Fall Harvest? 5K?" Does this histogram represent data related to a parameter or?

statistic? Explain your response.

• Statistic because it involves data that are

  likely to change from race to race.

• Statistic because the median and average

  are close together.

• Parameter because it represents data

  collected from the entire population of

  racers.

• Parameter because the age of racers is

  unlikely to change drastically.

Tags

CCSS.HSS.IC.B.3

To investigate a community’s reading habits, a publication invites readers to complete and mail in a survey.

Does this sampling method have any bias? Explain

• No, the sampling method has no bias

  because part of the population equally

  represents the entire population.

• Yes, because the people who respond to

  the survey may underrepresent the

  number of readers in the community.

• Yes, because the people who respond to

  the survey may overrepresent the number

  of readers in the community.

• Yes, because the survey is leading. It

  suggests that a certain answer is wanted.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

If I take a random sample 20 hamburgers from FIVE GUYS and count the number of pickles on a bunch of them… and the average number of pickles was 9.5, then 9.5 is considered a _______?

• a datum, or a data value

• statistic

• parameter

Tags

CCSS.HSS.IC.B.3

Researchers were interested to know whether internal vehicle temperatures vary by outside temperatures. To evaluate this, temperature rise was measured continuously over a 60-minute period in a dark SUV on 16 different clear, sunny days with outside temperatures ranging from 72^oF to 96^oF. The researchers' method of analysis is best described as:

• a census.

• a survey.

• an observational study.

• a randomized comparative experiment.

• a single-blind randomized comparative experiment.

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CCSS.HSS.IC.B.3

Which of the following distinguishes an observational study from a randomized experiment?

• In an observational study volunteers are always used, whereas in a randomized experiment a random sample is always taken from the population.

• In an observational study a random sample is always taken from the population, whereas in a randomized experiment volunteers are always used.

• In an observational study treatments are not randomly assigned, whereas in a randomized experiment treatments are randomly assigned.

• In an observational study a control group is never used, whereas in a randomized experiment a control group is always used.

• An observational study can be double-blind, whereas a randomized experiment can only be single-blind because the experimenter determines who is randomly assigned to each treatment.

Tags

CCSS.HSS.IC.B.3