chapter 2 tutorial
DESCRIPTION
Chapter 2 Tutorial. 2 nd & 3 rd LAB. Boxplot Example 1 . Draw the boxplot For the following set . Min= Q1= Median= Q3= Max=. IQR= 1.5×IQR= Q1- 1.5×IQR= Q2+1.5×IQR=. Boxplot Example 1 . Draw the boxplot For the following set . Min=1 Q1=3 Median=6 Q3=12 Max=15. IQR=12-3=9 - PowerPoint PPT PresentationTRANSCRIPT
Chapter 2Tutorial
2nd & 3rd LAB
Boxplot Example 1 11356678
121315
Draw the boxplot For the following set
Min=Q1=Median=Q3=Max=
IQR=1.5×IQR=Q1- 1.5×IQR=Q2+1.5×IQR=
Boxplot Example 1 11356678
121315
Draw the boxplot For the following set
Min=1Q1=3Median=6Q3=12Max=15
IQR=12-3=91.5×IQR=13.5Q1- 1.5×IQR=-10.5Q3+1.5×IQR=25.5
Boxplot Example 1
Sample 10
2
4
6
8
10
12
14
Min=1Q1=3Median=6Q3=12Max=15
Boxplot Example 2 23367779
131530
Draw the boxplot For the following set
Min=Q1=Median=Q3=Max=
IQR=1.5×IQR=Q1- 1.5×IQR=Q2+1.5×IQR=
Boxplot Example 2 23367779
131530
Draw the boxplot For the following set
Min=2Q1=3Median=7Q3=13Max=30
IQR=101.5×IQR=15Q1- 1.5×IQR=-12Q2+1.5×IQR=28
Boxplot Example 2
Sample 10
5
10
15
20
25
30
35
Min Outlier Max Outlier
Min=2Q1=3Median=7Q3=13Max=30
Q1- 1.5×IQR=-12Q2+1.5×IQR=28
Boxplot Example 2
Sample 10
5
10
15
20
25
30
35
Min Outlier Max Outlier
Min=2Q1=3Median=7Q3=13Max=30
Q1- 1.5×IQR=-12Q2+1.5×IQR=28
Terminate whiskers at the most extreme observation within 1.5×IQR of the quartiles
Q22) Suppose that the data for analysis includes the
attribute grade. The grade values for the data tuples are:
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(a) What is the mean of the data? What is the
median?• Using Equation (2.3), the mean = 13.61• The median = (13+14)/2 = 13.5
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(b) What is the mode of the data? Comment on the
data's modality (i.e., bimodal, trimodal, etc.).• The mode (value occurring with the greatest
frequency) of the data is 13, the mode is only one value so it’s called unimodal.
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(c) What is the midrange of the data?• The midrange (average of the largest and
smallest values in the data set) of the data is: • (20+ 4) / 2 = 12
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(d) Can you find (roughly) the first quartile (Q1) and
the third quartile (Q3) of the data?• The first quartile (corresponding to the 25th
percentile) of the data is: 12. The third quartile (corresponding to the 75th percentile) of the data is: 17.
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(e) Give the five-number summary of the data.• The five number summary of a distribution
consists of the minimum value, first quartile, median value, third quartile, and maximum value. It provides a good summary of the shape of the distribution and for this data is: 4,12,13.5,17,20
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Q2(f) Show a boxplot of the data.
4, 5, 9, 11, 12, 13, 13, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20
Sample 10
2
4
6
8
10
12
14
16
18
Min Outlier Max Outlier
Q33) Suppose that the data for analysis includes the
attribute age. The age values for the data tuples are
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3(a) What is the mean of the data? What is the
median?• Using (Equation 2.1), the (arithmetic) mean of
the data is: = 809/27 = 30. The median (middle value of the ordered set, as the number of values in the set is odd) of the data is: 25.
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3(b) What is the mode of the data? Comment on the
data's modality (i.e., bimodal, trimodal, etc.).• This data set has two values that occur with the
same highest frequency and is, therefore, bimodal.
• The modes (values occurring with the greatest frequency) of the data are 25 and 35.
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3(c) What is the midrange of the data?• The midrange (average of the largest and
smallest values in the data set) of the data is: (70+13)=2 = 41.5
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3(d) Can you find (roughly) the first quartile (Q1) and
the third quartile (Q3) of the data?• The first quartile (corresponding to the 25th
percentile) of the data is: 20. The third quartile (corresponding to the 75th percentile) of the data is: 35.
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3(e) Give the five-number summary of the data.• The five number summary of a distribution
consists of the minimum value, first quartile, median value,
• third quartile, and maximum value. It provides a good summary of the shape of the distribution and for this data is: 13, 20, 25, 35, 70.
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q3 (f) Show a boxplot of the data.
13, 15, 16, 16, 19, 20, 20, 21, 22, 22, 25, 25, 25, 25, 30, 33, 33, 35, 35, 35, 35, 36, 40, 45,46, 52, 70.
Q44) Suppose a manager tested the age and body fat
data for 18 randomly selected adults with the following result
23 9.523 26.527 7.827 17.839 31.441 25.947 27.449 27.250 31.252 34.654 42.554 28.856 33.457 30.258 34.158 32.960 41.261 35.7
Q4(a) Calculate the mean, median and standard
deviation of age and score.• For the variable age the mean is 46.44, the
median is 51, and the standard deviation is 12.85.
• For the variable score the mean is 28.78, the median is 30.7, and the standard deviation is 8.99
Q4(b) Draw the box-plots for age and score.
7.89.5
17.825.926.527.227.428.830.231.231.432.933.434.134.635.741.242.5
Q4(b) Draw the box-plots for age and score.
232327273941474950525454565758586061
Q4(c) Draw a scatter plot and a q-q plot based on
these two variables.
Q4(c) Draw a scatter plot based on these two
variables. 23 9.523 26.527 7.827 17.839 31.441 25.947 27.449 27.250 31.252 34.654 42.554 28.856 33.457 30.258 34.158 32.960 41.261 35.7
Q4(c) q-q plot based on these two variables.
23 7.823 9.527 17.827 25.939 26.541 27.247 27.449 28.850 30.252 31.254 31.454 32.956 33.457 34.158 34.658 35.760 41.261 42.5
Q5• Given two objects represented by the tuples (22,
1, 42, 10) and (20, 0, 36, 8):• (a) Compute the Euclidean distance between
the two objects.• (b) Compute the Manhattan distance between
the two objects.• (c) Compute the Minkowski distance between
the two objects, using h = 3.
Q5• To compute distance between Numeric
attributes• Euclidean distance
• The Manhattan (or city block) distance
Q5• (22, 1, 42, 10) and (20, 0, 36, 8):(a) Compute the Euclidean distance between the
two objects.=
=
=6.7082
=
Q5• (22, 1, 42, 10) and (20, 0, 36, 8):(b) Compute the Manhattan distance between the
two objects = = 11
Q5• (22, 1, 42, 10) and (20, 0, 36, 8):(c) Compute the Minkowski distance between the
two objects, using h = 3
= 6.1534