Bar Graph Problems

Sample Problems on Bar Graphs

Problem 1:

The following table illustrates the average employee salary at Smith, Inc. for each of the last fifteen years. Mrs. Smith, the general manager of Smith, Inc., has been asked to submit to the local newspaper a bar graph illustrating the average employee salary in her company for each of the last 15 years.

 

Year Salary
1983 32,500
1984 33,250
1985 33,350
1986 37,400
1987 32,000
1988 35,800
1989 37,800
1990 34,480
1991 40,000
1992 39,500
1993 36,100
1994 35,400
1995 37,500
1996 38,000
1997 36,900

 

Problem 2:

Your basketball team, the Ricebirds, has been asked to create a bar graph illustrating your team’s scores for each of its last ten games. The following table illustrates these scores.

 

Game Score
1 67
2 72
3 71
4 68
5 70
6 65
7 75
8 78
9 77
10 80

 

Problem 3:

Quality Motor Company is claiming that their cars have increased in quality more significantly than the cars of their competitors. They want to use bar graphs showing the average longevity of cars from each company, as well as their own, for each of the last 12 years. Given the following data for the company, create this bar graph.

 

Year Avg. # Years Until
Repairs are Needed
1986 2.6
1987 2.3
1988 2.5
1989 2.5
1990 2.8
1991 1.9
1992 3.0
1993 3.1
1994 2.8
1995 3.2
1996 3.6
1997 3.5

 

Problem 4:

You are the manager of the local mall, and you want to express to the public the safety of your mall. Use the following data that has been collected during the past year to make a bar graph.

 

Month # Crimes
Reported
Jan. 2
Feb. 1
Mar. 1
Apr. 3
May 4
June 5
July 5
Aug. 4
Sept. 1
Oct. 2
Nov. 1
Dec. 3

 

 

BI Sample 2 Lab Volume of Object

 

 

Volume of an Irregular Object

 

 

Introduction

 

Everything is made of matter. Matter has physical and chemical properties. Physical properties are observable, such as mass, volume, and density. Mass is a fundamental property of an object generally regarded as equivalent to the amount of matter in the object. Volume is the amount of space it takes up. Density is the thickness of it the formula for density is D=M/V. The purpose of this experiment was to find the mass, volume, and density of three different objects.

 

Hypothesis

 

Determining the volume of an irregularly shaped object can help in determining density.

 

Materials

 

The materials used included a rubber stopper, a rock, a shell, a 100mL graduated cylinder, water, electronic balance, paper, and pencil.

 

Methods:

 

Obtain rubber a stopper, a shell, and a rock. Estimate and record the mass and volume of the three objects. Weigh and record each object. Take the graduated cylinder and fill halfway with water and record the volume. Add one object and record the new volume. Subtract initial volume from final, and record. Repeat with the other three objects.

 

Results:

 

Object Estimated mass (g) Estimated volume (ml) Actual mass (g) Volume of H2O (ml) Volume of object + H2O (ml) Object’s Volume (ml) Density D=m/v

(g/ml)

Rubber Stopper 8g 65ml 8.3g 50ml 56ml 6ml 1.38g/ml
Shell 2g 55ml 3.1g 50ml 53ml 3ml 1g/ml
Rock 4g 60ml 7.8g 50ml 54ml 4ml 1.95g/ml

1. How did you determine the object’s:

a. Mass? Weighed it on a electronic balance

 

b. Volume? Put it in the water and measured the volume then subtracted the volume of the water before the object.

c. Density? Divided mass into volume

2. How did your estimates of mass and volume compare to the actual mass and volume of each object?

Our estimates of mass were close to the actual mass. Our estimates of volume were off not close to the actual volume at all.

3. Objects will sink if they are denser than water. Explain why ships made of steel float instead of sinking since steel is denser than water.

Because the ship has a hallow cavity with trapped air in it.

 

Error Analysis:

 

The volume of the water might not have been measured correctly.

 

Discussion and Conclusion:

 

The volume of the rubber stopper, rock and shell were determined by submerging them in a graduating cylinder containing water. The original water level in the cylinder was subtracted from the final water level to get the volume (ml) of each object. The actual mass (g) of each object was obtained by placing each on an electronic balance. Density could then be determined by dividing the mass of each object by its volume. The data showed the rock to have the greatest density at 1.95 g/ml with the rubber stopper 1.38 g/ml and the shell 1 g/ml being less dense.

BACK

 

Bi Sample Metric Measure

 

Metric Measurement Lab   

Introduction:

            Every scientific experiment in some way involves measurement.  Scientists worldwide use the metric system to display the results of measurements.  This system simplifies calculations based on a decimal system (powers of ten), opposed to the confusing English system of measurement.  Less confusion and better communication between scientists around the world makes the metric system more efficient than the English system for use in experiments.  The useful prefixes of the metric system are also known as the International System of Units (SI).

            Two measurements explored in this lab are mass and volume.  Mass is represented by grams, while volume is represented by milliliters (liquid) and cubic centimeters (solids with ruler measurement).  The purpose of this investigation is to get acquainted with and be accurate with the metric system.

Hypothesis:

By using a graduated cylinder, mass balance, and metric ruler, mass and volume can be found.  

Materials:

The materials used in this experiment include a graduated cylinder, an eyedropper, and a beaker of water for Part A; 20 ml of water, a graduated cylinder, and three marbles for Part B; a metric ruler, mass balance, three marbles, and a graduated cylinder for Part C; a metric ruler for Part D; and a graduated cylinder, eyedropper, six labeled test tubes, and three 25ml beakers of colored water (one with red, one with blue, and one with yellow) for Part E.  

Methods:

Part A:  Count you drops!

Fill a small graduated cylinder with 10 ml of water.  Count and record the number of drops it takes to raise the water to 11ml.  Leave the water in the graduated cylinder and count and record the number of drops it takes to raise the water to 12ml.  Leave the water in the graduated cylinder and count and record the number of drops it takes to raise the water to 13ml.  Calculate the average number of drops and round to the nearest tenth.

Part B:  Water Displacement

Add 20ml of water to a 100ml graduated cylinder.  Record this amount in the chart.  Add three marbles to the cylinder and measure and record the volume.  Find the difference between the two measurements and record it in the chart.  The difference between the two measurements will be the volume of the three marbles.

Part C:  Mass Mania

Check to see that the Pinter on the balance is pointing to zero.  If it is not, check to see that all the Riders (weights) are all the way to the left at the Zero mark.  Adjust the balance by turning the Adjustment Screw slowly until it points at zero.  Place the metric ruler on the pan and read and record the ruler’s mass.  After resetting the balance to zero, measure and record the mass of the empty 50ml graduated cylinder and then the three marbles.  Reset the balance to zero when all items have been massed. 

Part D:  Volume by Formula

Use the formula Volume=length x width x height to find the volume of the box.  Measure to the nearest centimeter before calculating the answer.  If necessary, round the answer to two decimal places.

Part E:  Color Challenge

Obtain the following items from the teacher:  3 beakers with colored water-25ml of each color (red, blue, and yellow), 1 graduated cylinder (25ml to 50ml), 1 eyedropper, and 6 test tubes labeled A, B, C, D, E, and F.  Perform each of the following steps using accurate measurements.  Measure 17ml of red water from the beaker and po9ur it into test tube A.  Measure 21ml of yellow water from the beaker and pour it into test tube C.  Measure 22ml of blue water from the beaker and pour it into test tube E.  Measure 5ml of water from test tube A and pour it into test tube B.  Measure 6ml of water from test tube C and pour it into test tube D.  Measure 8ml of water from test tube E and pour it into test tube F.  Measure 5ml of water from test tube C and pour it into test tube B.  Measure 2ml of water from test tube A and pour it into test tube F.  Measure 4ml of water from test tube E and pour it into test tube D.  Record the results in the chart.

Results:

Part A:  Count your drops!

# of drops to 11ml # of drops to 12ml # of drops to 13ml Average
24 26 25 25
  1. Take a guess—how many drops of water will it take to equal 1 milliliter?  18 drops.
  2. Based on your average, how close were you to your guess?  7 drops off of average.
  3. Based on your average, how many drops would it take to make 1 liter?  25,000 drops.

Part B:  Water Displacement

 

Volume of Water Before Adding Marbles (ml) Volume of Water After Adding Marbles (ml) Difference in Volume (ml) Volume of 3 marbles (ml)
20ml 25ml 5ml 5ml

 

Part C:  Mass Mania

 

Mass of Metric Ruler (g) Mass of Empty 50ml graduated cylinder (g) Mass of 3 Marbles (g)
3.0g 31.5g 11.0g

 

Part D:  Volume by Formula

Volume= length x width x height

7.0 cm x 1.0 cm x 3.0 cm = 21.0 cubic centimeters

Part E:  Color Challenge

 

Test Tube Color Final Volume (ml)
A Red 10ml
B Orange 10ml
C Yellow 10ml
D Green 10ml
E Blue 10ml
F Purple 10ml

 

 

Discussion and Conclusion:

By using a graduated cylinder, mass balance, and metric ruler, mass and volume can be found.  The purpose of Part A was to be accurate with reading graduated cylinders and how many drops of water make one milliliter.  This was accomplished by using an eyedropper to count the drops and reading the bottom of the meniscus to see when to stop dropping.  The average was found by adding the number of drops it took to reach the next milliliter (three times repeated) together and dividing by how many times the experiment was repeated which was three times.  (24+26+25)/3=25 average drops.  The purpose of Part B was to use water displacement to find volume.  In this particular experiment, water displacement was used to find the volume of three marbles.  To do this, the volume of the water before adding the marbles (20ml) was subtracted from the volume of the water after adding the marbles (25ml), to get the difference in the two volumes (5ml) which ultimately was the volume of the three marbles (5ml).  25ml-20ml=5ml.  The purpose of part C was to learn to use the balance accurately to determine the mass of an object(s).  To use a balance, the pointer and weights must be set at zero.  The mass of the three marbles, empty graduated cylinder, and metric ruler were found by placing them on the pan of the balance and moving the weights until the pointer was at zero again.  Mass is measured in grams.  The purpose of Part D was to use a metric ruler properly and apply your measurements to a formula to find volume.  To fill in the volume formula, length, width, and height of the box was found in the nearest centimeter with the metric ruler.  After those measurements were found, they had to be multiplied together to find the volume in cubic centimeters.  7cm x 1cm x 3cm=21 cubic cm.  Volume is expressed with cubic centimeter for solids and milliliters for liquids.  The purpose of Part e was to be accurate in liquid measurements to find the color and volume of the six test tubes.  This was accomplished by taking certain amounts of colored water from some beakers of test tubes and adding them to other test tubes.  If something was not measured right, the water in the test tube would not be the correct color.  It is important to always use accurate methods and measurements because details matter in science and experiments.

 

Bicalendar 2010-11 Revised

 

 

1st Semester Biology 2010-2011

 

 

AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER JANUARY FEBRUARY MARCH APRIL MAY

 

THESE ARE APPROXIMATE DATES FOR ASSIGNMENTS!

 

2010

Monday Tuesday Wednesday Thursday Friday
16 17 18 19 20
 

23 24 25 26 27

 

 

30 31

 

 

TOP

 

2010

Monday Tuesday Wednesday Thursday Friday
1 2 3
TARGET PRE-TEST

6 7 8 9 10

 

13 14 15 16 17

 

20 21 22 23 24

INTERIMS
P-T Conference SHS

 

P-T Conference SJHS

 

27 28 29 30  

 

 

 

TOP

 

2010

Monday Tuesday Wednesday Thursday Friday
1
4 5 6 7 8

 

 

11 12 13 14 15

Professional Development
 

END OF FIRST 9 WEEKS

18 19 20 21 22

25 26 27 28 29
 

 

 

TOP

 

2010

Monday Tuesday Wednesday Thursday Friday
1 2 3 4 5
TARGET TEST #1 MC

8 9 10 11 12

 

15 16 17 18 19
22 23 24 25 26
 
29 30
 

 

TOP

 

2010

Monday Tuesday Wednesday Thursday Friday
1 2 3
SHS SCIENCE FAIR

 

6 7 8 9 10
TARGET TEST #2 EBR

 

13 14 15 16 17

Proficient-Advanced Students Out

TEST REVIEW
Proficient-Advanced Students Out
SEMESTER TEST
Proficient-Advanced Students Out
SEMESTER TEST
Proficient-Advanced Students
Out
 

SEMESTER TEST
Proficient-Advanced Students
Out
END OF 2ND 9 WEEKS

 

Enjoy Your Christmas Vacation December18, 2010 – January 4, 2011!

 

TOP

 

2nd Semester Biology

 

 

2011

Monday Tuesday Wednesday Thursday Friday
 3 4 5 6 7

10 11 12 13 14

17 18 19 20 21

MLK DAY!
24 25 26 27 28
31

 

 

 

TOP

 

2011

Monday Tuesday Wednesday Thursday Friday
1 2 3 4

P-T Conference SJHS

 

P-T Conference SHS

 

7 8 9 10 11
TARGET TEST #3 HE

14 15 16 17 18
President’s Day

 

21 22 23 24 25

  • Protist worksheet DUE
  • Continue Protist & Fungi PowerPoint

28

 

TOP

 

2011

Monday Tuesday Wednesday Thursday Friday
1 2 3 4

 

7 8 9 10 11

LITERACY TEST

LITERACY TEST

 

 

 

14 15 16 17 18

END OF 3RD 9 WEEKS

TARGET TEST #4 CDL

 

21 22 23 24 25
BREAK BREAK BREAK BREAK BREAK
28 29 30 31

 

TOP

 

2011

Monday Tuesday Wednesday Thursday Friday
1
4 5 6 7 8

 

11 12 13 14 15
  • TEST over Vertebrates
  • Handout: Notes on Plants and Plant Worksheet

  • Work on Plant Worksheet

  • Work on Plant Worksheet
  • Work on Plant Worksheet

 

  • Plant Worksheet DUE
18 19 20 21 22

 

EOC GEOMETRY

EOC GEOMETRY

25 26 27 28 29
EOC BIOLOGY
EOC BIOLOGY
  • Start Birds PowerPoint and answer worksheet questions

 

TOP

 

2011

Monday Tuesday Wednesday Thursday Friday
 2 3 4 5 6
  •  Continue Birds PowerPoint and answer worksheet questions

9 10 11 12 13

16 17 18 19 20
  • Teach wing spreading
  • Identify Insects (KEY)
  • Teach Card pointing
  • Identify Insects (KEY)
TARGET POST TEST

 

23 24 25 26 27

 

SEMESTER TEST
REVIEWBOOK RETURN
SEMESTER TEST
REVIEWBOOK RETURN
SEMESTER TEST
30 31
MEMORIAL DAY SEMESTER TEST

 

 

 

  2011

Monday Tuesday Wednesday Thursday Friday
1 2 3
    SEMESTER TEST

 MAKE UP EXAMS

TEACHERS LAST DAY

 

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