Answer the following questions pertaining to
collecting and organizing data.

1.

College students spent the following amounts of money on textbooks for one semester.
$101, $107, $121, $90, $89, $101, $98, $110, $115, $85, $95, $109, $109, $110, $109

a. Complete the charts below showing tally, frequency, and cumulative frequency.     Answer to part a
b.  Draw the frequency histogram and the cumulative frequency histogram.       Answer to part b

Cost Interval Tally Frequency
80-89    
90-99    
100-109    
110-119    
120-129    
Cost Interval Cumulative Frequency
80-89  
90-99  
100-109  
110-119  
120-129  

 

 

2.

The monthly family budget is $1200.  According to the circle graph at the left, how much of the monthly budget, to the nearest dollar, is spent on pet supplies?

Choose:

$10
$33
$120

Explanation

 

 

3.

According to the box-and-whisker plot shown at the left, what are the five statistical summary values?

  • the median?

  • the first quartile?

  • the third quartile?

  • the minimum value?

  • the maximum value?

Answer

 

 

4.

The number of iTunes downloaded by 25 students in one week ranges
from 15 to 55.  The box-and-whisker plot below depicts this data.

For this data:
a.)  What is the minimum number of iTunes downloaded?
b.)  What is the maximum number of iTunes downloaded?
c.)  What is the number of iTunes at the 25th percentile?
d.)  What is the number of iTunes at the 50th percentile?
e.)  What is the number of iTunes at the 75th percentile?

Answer        



 

5.

A police officer was studying traffic patterns in one part of town.  In this study, he recorded the speeds of 17 cars traveling in a 40 mph zone.  Here are the speeds in miles per hour:

35, 40, 42, 43, 45, 46, 37, 38, 52, 39, 47, 42, 41, 39, 54, 52, 25

 

For this data:
a.)  Construct a histogram using the intervals 21-25, 26-30, 31-35, 36-40, 41-45,
      46-50, and 51-55.
b.)  Construct a cumulative frequency histogram using the intervals 21-25, 21-30,
      21-35, 21-40, 21-45, 21-50, and 21-55.

Answer        

 


 

6.

The data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19 represents the number of hours spent on the Internet in a week by students in a mathematics class. 
Which box-and-whisker plot represents this data?

Choose: