Corless BTM8104 8 2

NORTHCENTRAL UNIVERSITY
ASSIGNMENT COVER SHEET

Student: Marjoree Corless

BTM8104-8
Hamid Jafari, PhD

Statistics 1
Week 2 Assignment: Data Visually and through Numbers

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Chapter 3 and 4
Data file 2/ Data Visually and through Numbers

Marjoree Corless
Northcentral University

Week 2 Assignment: Apply Graphs and Descriptive Stati

Data File 2

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 OF NOVELS
FREQUENCY
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
3.2.3.6 13

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

Class
Frequency
Cumulative Frequency
1.2-1.6
5
5
1.7-2.1
2
5+2=7
2.2-2.6
5
5+2+7= 12
2.7-3.1
5
5+2+7+12=17
3.2-3.6
13
5+2+7+12+17=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.

5
Management
4
Maintenance
6
Professional
2
Unemployed
1

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.

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

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 /10=464.6

Add all items divide by 10 = 464.6

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
Organize in ascending order. 10 values even number the two numbers in the middle of list. 149,000+163,000/2=156,000

Median = $156,000

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

20, 43, 46, 43, 49, 43, 49
= 43 (most frequent value) according to Bennett, Briggs and Triola (p. 123. 2014)

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.

The mean score for the mathematics SAT scores of the seven students in a mathematics seminar will increase if the student with a higher score replaces the student with 533 however the median score for the mathematics SAT scores of the seven students in a mathematics seminar will decrease to 619 because the middle scores did not vary enough for it to increase like the mean.

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

400 x (multiply) 20% = 80. Therefore the class rank is equivalent to 80.

6)

Look at the above distribution. What type is it and why?
A right skewed distribution. Because according to Bennett, Briggs, and Triola (2014) “a distribution is right skewed if its values are more spread out on the right side and the line continuing line it had moderate variation, hence the line above is right skewed because it has more data in the right side indicating a systematic distribution.

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

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

the range is 21 and the standard deviation is 7.087548.

7) 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 number low
2.5
Minmum

2.5

lower quartile
4.2
Since, The lower half is: 2.5,3.3,4.2,5.9,6.8, hence the first quartile

3.3

median
7.2

4.2

upper quartile
9.2
Third quartile: since, the upper half is: 7.7,8.5,9.2,9.9,10.5,thus 9.2 is the upper quartile

5.9

high
Max amount: 10.5
Mean
6.52
6.8

Standard Error
0.794117
7.2

Median
7
7.7

Mode
#N/A
8.5

Standard Deviation
2.511219
9.2

Sample Variance
6.306222
9.9

Kurtosis
-1.06062
10.5

Skewness
-0.38126

Range
7.4

Minimum
2.5

Maximum
9.9

Sum
65.2

Count
10

Confidence Level(95.0%)
1.796418

b. box table

Reference
Bennett, J. O., Briggs, W. L., & Triola, M. F. (2014). Statistical reasoning for everyday life. 4th ed. Boston, MA Pearson/Addison Wesley. ISBN: 9780321817624