Data Quiz in Statistics

Which term refers to a characteristic or measure that describes a population?

• Parameter

• Sample

• Variable

• Statistic

Which type of statistics involves summarizing and describing data?

• a) Descriptive statistics

• b) Inferential statistics

• c) Qualitative statistics

• d) Quantitative statistics

True or False: Inferential statistics are used to make predictions and inferences about a population based on sample data.

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What is the term for a subset of a population selected for a study?

• a) Parameter

• b) Sample

• c) Variable

• d) Statistic

The dot plot shown below represents the number of pets owned by students in a class.

Which statement about the data is not true?

• The median is 3.

• The interquartile range is 2.

• The mean is 3.

• The data contain no outliers.

The table below shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.

The team signs an additional player to a contract worth 10 million dollars per year. Which statement about the median and mean is true?

• Both will increase.

• Only the median will increase.

• Only the mean will increase.

• Neither will change.

Corinne is planning a beach vacation in July and is analyzing the daily high temperatures for her potential destination. She would like to choose a destination with a high median temperature and a small interquartile range. She constructed box plots shown in the diagram below. Which destination has a median temperature above 80 degrees and the smallest interquartile range?

• Ocean Beach

• Whispering Palms

• Serene Shores

• Pelican Beach

Isaiah collects data from two different companies, each with four employees. The results of the study, based on each worker’s age and salary, are listed in the tables below. Which statement is true about these data?

• The mean age of workers at company 1 is greater than the mean age of workers at company 2.

• The median salaries in both companies are greater than $37,000.

• The mean salary in company 1 is greater than the mean salary in company 2.

• The salary range in company 2 is greater than the salary range in company 1.

Christopher looked at his quiz scores shown below for the first and second semester of his Algebra class.

Semester 1: 78, 91, 88, 83, 94

Semester 2: 91, 96, 80, 77, 88, 85, 92

Which statement about Christopher’s performance is correct?

• The third quartile for semester 2 is greater than the third quartile for semester 1.

• The interquartile range for semester 1 is greater than the interquartile range for semester 2.

• The median score for semester 1 is greater than the median score for semester 2.

• The mean score for semester 2 is greater than the mean score for semester 1.

Gabriella’s quiz grades are shown below.
88, 92, 92, 96, 98
Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.