Statistics and Histograms
Refer to the following scenario and data to solve the first FIFTEEN problems. A sixth grade mathematics teacher recorded the following test scores for the mid-term exam: 100, 91, 85, 79, 82, 91, 67, 76, 73, 85, 88, 100, 82, 67, 82, 97, 97, 73, 85, 53, 70, 88, 94, 85, 73, and 88.
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| 1) Print out the table below and organize the test scores by completing a tally and frequency for all of the different test scores. State each test score and the test score’s frequency.
Printable Statistics and Histograms Table
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| 2) Print out the table below to organize the data collected in the previous problem by intervals. Record the frequency of each score in the appropriate interval. Tally the frequency of each interval. State each interval and the corresponding frequency.
Printable Organize_Data Table
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| Draw a histogram based on the intervals and the frequencies recorded in the previous table, and then answer the next seven questions.
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| 3) What labels did you use across the horizontal axis to represent each of the bars?
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| 4) What scale did use for frequency along the vertical axis?
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| 5) What is the title of the graph?
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| 6) In what interval did most of the test scores occur?
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| 7) In what interval did the fewest test scores occur?
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| 8) What test score is an outlier?
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| 9) Describe the distribution of the test scores by stating if the data is “symmetrical” or “skewed”. Explain your choice.
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| 10) What is the mean of the test scores?
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| 11) What is the mode of the test scores?
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| 12) What is the median of the test scores?
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| 13) What is the range of the test scores?
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| 14) Do you think the difficulty level of the test was easy, moderate, or hard? Justify your answer with evidence from the data.
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| 15) Do you think the test was “fair”? Please explain your answer.
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Box-and-whisker Plot
Use the following information on questions #16 - #20.
Paul planted pumpkins in his garden this year. He weighed and recorded the weight of each one. Their weights are as followed: 10, 15, 5, 13, 7, 16, 25, 20, 7, 10, 14
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| 16) What is the range or spread of the weight of the pumpkins?
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| 17) What is the lower and upper extreme?
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| 18) What is the median of the data?
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| 19) What is the lower and upper quartile? |
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| 20) Upload a box-and-whisker plot of the weight of the pumpkins. It can be drawn or computer made. |
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| 21) Ricky is playing football and has two chances to make 9 yards so that his team can keep the ball. However, instead of gaining yards he lost 5 yards on the first play. How many yards does he have to gain on the second play so that his team may keep possession of the ball.
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| 22) Write the ordered pairs for each of the named points.
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| 23) Print out the table and fill it in. State the input value and the output for each input value.
Printable Input and Output Value
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| 24) Write an equation for the diagram, and then solve.
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| 25) Solve for t.
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| 26) Solve for k. 30 = k – 15
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| 27) The table below shows the number of gallons of water per minute that is being pumped into a larger tank. Study the table below and state the rate of change per minute that the tank is being filled.
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| 28) Describe all whole numbers that will make this inequality true.
D – 7 > 2
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| 29) Make a circle graph for the following data, and then state the size of angle used to draw the part of the graph for each of the soft drink flavors.
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| 30) Why would a circle graph be a better choice for the data in problem #29 than a line graph?
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| 31) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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