Desklib Statistics: Worksheet 2 Solutions - Tables and Graphs Analysis

This document contains the solutions to Worksheet 2, focusing on tables and graphs, along with raw data analysis. The solutions cover a range of statistical concepts, including sorted distributions, dot diagrams, frequency distribution charts, bar graphs, Pareto charts, line graphs, pie charts, relative frequency polygons, and ogives. The assignment includes interpreting graphs, constructing relative frequency tables, identifying outliers, and analyzing various data representations. Further, the solutions involve interpreting graphs showing car speeds, plant growth, sales data, and population trends. The solutions also include stem and leaf diagrams and frequency analysis. The document provides detailed answers to interpret the data, calculate frequencies, and identify trends. The worksheet covers a broad range of data analysis and graph interpretation skills.

Worksheet 2 Tables and Graphs
Raw Data
Answer 1
a) Sorted Distribution
Student No. of
sibling
s
1 0
8 0
10 0
3 1
9 1
2 2
4 2
5 2
6 3
7 6
b) Dot Diagram
1 2 3 4 5 6 7 8 9 10
0
1
2
3
4
5
6
Dot Plot for Number of Siblings
Student
No. of siblings

c) Frequency Distribution Chart
Frequency Chart
No. of siblings Frequency Relative Frequency Cumulative Frequency
0 3 0.3 3
1 2 0.2 5
2 3 0.3 8
3 1 0.1 9
6 1 0.1 10
d) Bar Graph
0
1
2
3
6
0 1 2 3
Bar Graph for Number of Siblings
Frequency
Number of Siblings

e) Pareto Chart
f) Line Graph (frequency polygon)
zero one two three six
0
0.5
1
1.5
2
2.5
3
Line Graph
Number of Siblings
Frequency
g) Relative Frequency (Probability) Distribution Chart
Provided in part c.

h) Pie Chart
30%
20%
30%
10%
10%
Pie Chart for Relative Frequency
0 1 2 3 6
i) Relative Frequency Polygon
0 1 2 3 4 5 6
-4.16333634234434E-17
0.05
0.1
0.15
0.2
0.25
0.3
Frequency Polygon showing Relative
Frequency
No. of Siblings
Relative Frequency
j) Ogive (Cumulative Frequency Polygon)

0 1 2 3 4 5 6
0
1
2
3
4
5
6
7
8
9
10
Ogive showing Cumulative Frequencies
No.of Siblings
Cumulative Frequency
Frequency Distribution
Answer 2
a)
From the boxplot, it can be observed that 7 is an outlier. Hence, if number of
days absent is 7 then it is an outlier to the dataset.
b) Dot Diagram

0 1 2 3 4 5 6 7
0
5
10
15
20
Dot Diagram
No. of days Absent
Frequency
c) Bar Graph
0
1
2
3
7
0 2 4 6 8 10 12 14 16 18 20
Bar Graph
Frequency
No. of days absent
d) Pareto Chart

e) Line Graph (frequency polygon)
zero one two three seven
0
5
10
15
20
25
Line Graph
No of days absent
Frequency
f) Relative Frequency (Probability) Distribution Chart

X f Relative
Frequency
Cumulative
Frequency
0 20 0.5 20
1 9 0.23 29
2 7 0.18 36
3 3 0.08 39
7 1 0.03 40
g) Pie Chart
50%
23%
18%
8% 3%
Pie chart for relative frequency
0 1 2 3 7
h) Relative Frequency Polygon
0 1 2 3 7
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
0.45
0.5
Relative frequency polygon
No of days absent
Relative frequency
i) Ogive (Cumulative Frequency Polygon)

Cumulative frequencies are provided in part f.
0 1 2 3 7
0
5
10
15
20
25
30
35
40
Ogive for cumulative frequency
no of days absent
Cumulative frequency
Interpreting Graphs
Answer 3
Relative Frequency Table
Political party Affiliation
Party Relative Frequency
Democratic 0.3
Republican 0.4
Libertarian 0.1
Green Party 0.05
Other 0.15
Total 1
Answer 4
 11 hotdogs were sold on Friday and Sunday combined.
 7 more hotdogs were sold on Sunday than on Saturday.

 The number of hotdogs sold in Monday, Wednesday and Thursday are 2, 7 and 5
respectively. All together 14 hotdogs were sold in these three days.
Answer 5
1. The population of Newtown in 1920 was 1200.
2. The increase in population from 1920 to 1940 was 400.
3. The population in 1960 was 2400.
4. The size of the population changed the most in 1940-1960.
5. The population gradually increased from 1900 to 1980. However, the population size
decreased in 2000.
6. If the trendline continues then the population of Newtown in 2020 will be 3500
(approximately).
Answer 6
a. The highest speed reached by the car was 45 km/h.
b. The car stopped after two hours (120 mins).
c. The car hit the brakes at 90 minutes for the first time.
d. The trip lasted for 2 hours.
Answer 7
a. The height of the plant at week 6 was 22 cm.
b. Between week 7 and 8, the plant grew most.
Answer 8
a. Apples had the most sales on the first day.
b. Star fruits, mangoes and apples showed a decrease in sales on day 2.

Answer 9
a. Th outlier is 11.
b. 2 has the highest frequency.
c. The distribution is positively skewed.
Answer 10
a. Romantic movies are the most favorite ones.
b. Drama movies are least favorite.
Answer 11
a. Skewed left- Graph 3
b. Symmetric- Graph 1
c. Skewed right- Graph 2
d. Normal- Graph 1
Answer 12
a. Uniform and symmetric.
b. Skewed right,
c. Symmetric, normal.
d. Skewed left.
e. Bimodal and symmetric.
f. Bimodal and skewed right.
Answer 13
a. There are 30 packages in the post office.
b. There are 23 packages that weigh less than 10 kg.
Stem & Leaf Diagram

Answer 14
There are three 17’s in the distribution.
Answer 15
4 tests had exactly 58 problems.
Answer 16
There are 7 restaurants that have at least 50 menu items.
Answer 17
There are 23 running times in the distribution.