Cumulative Frequency

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AP Statistics Cumulative Frequency Name: _____________________________________

1.

In each of your classes today, ask 4 students how many siblings (brothers and sisters) they have.

Create a frequency table. Add in the relative and cumulative frequency columns. Then, answer the following questions: a.

What percentage of the students have 0 siblings? b.

What percentage of the students have between 1 and 3 siblings? c.

What percentage of the students have fewer than 3 siblings?

2.

Nineteen people were asked how many miles, to the nearest mile they commute to work each day. The data are as follows: 2, 5, 7, 3, 2, 10, 18, 15, 20, 7, 10, 18, 5, 12, 13, 12, 4, 5, 10 a.

Create a table that includes the frequency, relative frequency, and cumulative frequency. b.

True or False: Three percent of the people surveyed commute 3 miles. i.

If the statement is not correct, what should it be? Make it correct c.

What fraction of people surveyed commute 5 or 7 miles? d.

What fraction of the people surveyed commute12 miles or more? Less than 12 miles?

Between 5 and 15 miles (not including 5 or 13)?

3.

Identify each of the following variables as being discrete or continuous. a.

The number of telephone calls received. b.

The weight of a bag of apples. c.

The length of a piece of wire. d.

Speed of a car. e.

The number of felony arrests in a town. f.

Number of flaws in a bolt of fabric. g.

The population of the California condor. h.

A person's age.

4.

We have a class of 30 students and the data below shows the height (in cm) distribution of those people. The data has already been sorted from lowest to highest. a.

Create a frequency table. b.

Create a histogram. c.

Describe the distribution.

AP Statistics Cumulative Frequency Name: _____________________________________

5.

The following data was obtained from the census website. Data on the household income for approximately 121 million households were collected. The mean income for this data set is $69,677. a.

Is this histogram symmetric, skewed left or skewed right? b.

Is the histogram unimodal, bimodal or multimodal? c.

Approximately, how many household made more than

$50,000? d.

Provide an appropriate description of the distribution.

6.

For the following set of 20 numbers:

1, 3, 20, 23, 25, 30, 30, 31,

32, 33, 33, 34, 34, 40, 40,

42, 43, 43, 44, 44 a.

Draw a stemplot of the data and describe the shape of the distribution. b.

Create a histogram of the data. c.

Between the stemplot and the histogram, which plot provides a better display, and why?

7.

Use the given data to make a scatter plot.

AP Statistics Cumulative Frequency Name: _____________________________________

8.

The consumer price index (CPI) is a measure of the relative cost of goods in the US for a particular year. The table to the right shows the CPI for various years. Create a time plot of the data.

Year

2000

2001

2002

2003

2004

2005

2006

CPI

16.0

28.1

33.6

41.8

92.6

120.7

152.2

9.

Use the given data to draw a scatter plot and describe the correlation.

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