Unit 1 - Exploring Data

Question 1

What are 2 measures of center?

Answer 1

Mean and median

Question 2

What are 3 measures of spread?

Answer 2

Standard Deviation, Interquartile Range, Range

Question 3

What is the difference between quantitative and categorical data?

Answer 3

Quantitative data = number data

Categorical data = word data

Question 4

What graphs are appropriate for categorical data?

Answer 4

Pie charts and bar charts

Question 5

What graphs are appropriate for quantitative data?

Answer 5

Histograms, box plots, stem plots, dot plots.

Question 6

Which graphs retain individual observations?

Answer 6

Stem plots and dot plots

Question 7

About how many bars should your histogram have?

Answer 7

About 5 or 6

Question 8

When describing a distribution, what 3 things should you include?

Answer 8

Shape, center, spread

Question 9

A distribution that has approximately the same frequency for each data value is ___________.

Answer 9

Uniform

Question 10

A distribution that has a greater frequency of large values is __________________.

Answer 10

Left Skew

Question 11

A distribution that has a greater frequency of small values is _________________.

Answer 11

Right Skew

Question 12

The mean is pulled in the direction of the _______.

Answer 12

Skew and outliers

Question 13

In a left skewed distribution, the median is ___________ than the mean.

Answer 13

greater than

Question 14

In a unimodal and symmetrical distribution, the mean is _________________ the median.

Answer 14

about the same as

Question 15

Define statistic

Answer 15

a number that describes a sample (like sample mean, sample median, sample min, etc)

Question 16

Define parameter

Answer 16

a number that describes a population (like population mean, population range, etc)

Question 17

What is a 5 number summary?

Answer 17

Min, Q1, Median, Q3, Max

Question 18

What is the formula for calculating the upper boundary for outliers?

Answer 18

Q3 + 1.5(IQR)

Question 19

What is the formula for calculating the lower boundary for outliers?

Answer 19

Q1 - 1.5(IQR)

Question 20

For what kind of distributions do we prefer to use the median and IQR?

Answer 20

Skewed distributions

Question 21

What measure of center and spread do we use if a distribution is approximately symmetrical?

Answer 21

Mean and Standard Deviation

Question 22

What does it mean if a statistic is resistant?

Answer 22

The statistic is not easily influenced or changed by skew and outliers

Question 23

What does it mean if a statistic is non-resistant?

Answer 23

The statistic is easily influenced and changed by skew and outliers

Question 24

Name 2 resistant statistics.

Answer 24

Median, IQR

Question 25

Name 2 non-resistant statistics

Answer 25

Mean, Standard Deviation

Question 26

The median of a data set of the price of school lunch items is $2.35. Interpret this number.

Answer 26

The average price of school lunch items is $2.35.

Question 27

The standard deviation of a data set of the price of school lunch items is $0.48. Interpret this number.

Answer 27

0.48 is the average deviation of school lunch prices from the mean school lunch price

Question 28

Which graphs are most appropriate for large data sets, or data with a large range of numbers?

Answer 28

Histograms and box plots

Question 29

What is the symbol for sample mean?

Answer 29

X-bar

Question 30

What is the symbol for population mean?

Answer 30

Mew

Question 31

What is the symbol for sample standard deviation?

Answer 31

s

Question 32

What is the symbol for population standard deviation?

Answer 32

sigma

Question 33

If you add or subtract the same value to every number in a data set, what happens to the measures of location (mean, median, min, max, percentiles)?

Answer 33

They change.

Question 34

If you add or subtract the same value to every number in a data set, what happens to the measures of spread (range, IQR, S.D.)?

Answer 34

The stay the same.

Question 35

If you multiply or divide the numbers in a data set, which summary statistics will change.

Answer 35

All of them: mean, median, range, IQR, S.D. etc.