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Words 890

Pages 4

Chapter Three (Show all your work)

1) A teacher asked each of her students how many novels they had read in the previous six months. The results are shown below.

0 1 5 4 2 1 3 2 2 7 2 5 0 1 0 1 1 2 6 0 2 3 1 2 7 1 4 2 3 1 7 0 0 2 1 1 0 6 1 7

Construct a frequency table for the number of novels read.

|Number |Frequency |

|of novels | |

|0 |7 |

|1 |11 |

|2 |9 |

|3 |3 |

|4 |2 |

|5 |2 |

|6 |2 |

|7 |4 |

2) The frequency table shows the weights in ounces of 30 stones

Weight (oz) Number of Stones

1.2-1.6 5 1.7-2.1 2 2.2-2.6 5 2.7-3.1 5 6. 13

Use the above information to construct a cumulative frequency table for the data.

|Weight (oz) |Cumulative |

| |Frequency |

|1.2 - 1.6 |5 |

|1.7 - 2.1 |7 |

|2.2 - 2.6 |12 |

|2.7 - 3.1 |17 |

|3.2 - 3.6 |30 |

3) Use the following data to construct a bar chart.

Job categories

Clerical Management Maintenance Professional Unemployed 5 4 6 2 1

Create a bar graph and place the above data in a bar graph.

[pic]

4) The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September 2006.

6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4

Create a histogram using the above data. Use bin width (size of the bar) of 2 hours.

[pic]

5) Examine the stem and leaf plot below. Find the original data from the stem and leaf plot.

Stem Leaves

1 1,8,6 2 1,1,3,7 3 1,3,3,8,9 4 3,4

11, 18, 16, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

6) Create a stem and leaf plot with the following data.

10, 12, 33, 25, 22, 18, 19, 31, 28, 22, 13, 15, 15, 20, 21, 35, 32

10 12 13 15 15 18 19 20 21 22 22 25 28 31 32 33 35

|Stem |Leaves |

| | |

|1 |0,2,3,5,5,8,9 |

|2 |0,1,2,2,5,8 |

|3 |1,2,3,5 |

| | |

Chapter Four (Show all your work)

1) The students of Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593 358 352 537 349 357 596 470 482

x= (552+593+358+352+537+349+357+596+470+482) = 4646 = 464.6 10 10

2) The salaries of ten randomly selected physicians are shown below. Find the median salary.

$105,000 $149,000 $163,000 $214,000 $225,000 $116,000 $111,000 $791,000 $240,000 $178,000

$105,000 $111,000 $116,000 $149,000 $163,000 $178,000 $214,000 $225,000 $240,000 $791,000

The median is $163,000

3) Find the mode(s) for the given sample data.

20, 43, 46, 43, 49, 43, 49

20, 43, 43, 43, 46, 49, 49

The mode is 43.

4) The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class? Explain.

Mean: (533 + 553 + 578 + 586 + 619 + 626 + 633) / 7 = 4128 / 7 = 589.714 Median: 586 is the median because it is in the middle

New data:

553, 578, 586, 619, 626, 633, 765

Mean: (553 + 578 + 586 + 619 + 626 + 633 + 765) / 7 = 4360 / 7 = 622.857 increase from original

Median: 619 increase from original 586

5) Suppose there are 400 students in your school class. What class rank is the 20th percentile?

400x20% = 80 The class rank is equal to 80.

6)

Look at the above distribution. What type is it and why?

The skewed (right-skewed) distribution is deviated because a natural limit prevents results on one side. The distribution’s crest is off center toward the limit and a tail extends far from it.

7) What is the range and standard deviation for the following data:

2, 6, 15, 9, 11, 22, 1, 4, 8, 19

1, 2, 4, 6, 8, 9, 11, 15, 19, 22

Range: 22 - 1 = 21

Mean: 1+2+4+6+8+9+11+15+19+22=97 97/10= 9.7

8) Use the following data to figure determine 1) the five number summary and 2) create a boxplot.

2.5, 3.3, 4.2, 5.9, 6.8, 7.2, 7.7, 8.5, 9.2, 9.9, 10.5

Minimum value = 2.5

Median (Q2) = 7.2 (Median is the [(n+1)/2] term where n is the number of events)

Lower Quartile (Q1) = 4.2 (it's the median of all the terms below the Q2, as in, it's the median of numbers below the actual median)

Upper Quartile (Q3) = 9.2 (the median of numbers above the Q2)

Maximum value = 10.5

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