Description
Need assistance in completing only 6 problems for Finite math subject.
Attached is the document to view the world problems, please be sure to show all work and steps, and not just the answers.
If everything goes well I will be happy to work with you again.
Due date is 10/08/2017 before 12:00AM
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Explanation & Answer
Here is my answer :)
Math Questions
1. The following table is the final distribution of grades in the introductory
economics course at a local university:
Grades
Number of Students
50 - 59
7
60 - 69
4
70 - 79
10
80 - 89
14
90 - 99
5
a. How many classes are there in the class?
The number of classes are 5
b. What percentage of the students scored at least 70 in the test?
𝑝=
10 + 14 + 5
= 72.5%
40
c. Draw a histogram of the scores.
d. Estimate the mean score.
Grades
50-59
60-69
70-79
80-89
90-99
Number of Students
7
4
10
14
5
Mid-point (x)
55
65
75
85
95
S
f*x
385
260
750
1190
475
3060
∑𝑓 ∗ 𝑥
∑𝑓
3060
𝑀𝑒𝑎𝑛 =
40
𝑴𝒆𝒂𝒏 = 𝟕𝟔. 𝟓
𝑀𝑒𝑎𝑛 =
2. The following data represent a sample of the ages of individuals working at a
telephone crisis center.
33, 40, 35, 24, 31, 32, 45, 23, 45, 34, 34, 54, 25, 36, 38, 44, 62, 31, 56,
47, 30, 42, 43, 52, 48, 56, 64, 40, 61, 39, 29, 34, 37, 43, 47, 32, 45, 27,
35, 29
a. Construct a box and whisker plot. What can you say about the data based
on this plot?
23, 24, 25, 27, 29, 29, 30, 31, 31, 32, 32, 33, 34, 34, 34, 35, 35, 36, 37, 38, 39, 40,
40, 42, 43, 43, 44, 45, 45, 45, 47, 47, 48, 52, 54, 56, 56, 61, 62, 64
The median is Q2 = (38 + 39)/2 = 38.5
23, 24, 25, 27, 29, 29, 30, 31, 31, 32, 32, 33, 34, 34, 34, 35, 35, 36, 37, 38
The quartile 1 is Q1 = (32 + 32)/2 = 32
39, 40, 40, 42, 43, 43, 44, 45, 45, 45, 47, 47, 48, 52, 54, 56, 56, 61, 62, 64
The quartile 3 is Q3 = (45 + 47)/2 = 46
b. Does this data satisfy the empirical rule (68%-95%-99.7% rule)?
The mean is 40.05, and the standard deviation is 10.66
Mean ± (k x Std. Dev)
40.05 ± (1 x 10.66)
40.05 ± (2 x 10.66)
40.05 ± (3 x 10.66)
Interv...