Question
In: Statistics and Probability
Consider the data set: 26, 29, 24, 17, 27, 20, 23, 21, 26, 27. (a) Find...
Consider the data set: 26, 29, 24, 17, 27, 20, 23, 21, 26, 27.
(a) Find the median and the upper and lower quartiles for this data set.
(b) Setup then evaluate the numerical expression for the mean of this data set. You must write it out completely. (
c) Setup and then evaluate the numerical expression for the variance of this data set. You must write it out completely.
(d) Find the standard deviation of this data set.
Solutions
Expert Solution
(a) Find the median and the upper and lower quartiles for this data set.
| Median (Q2) | 25.00 |
| Lower Quartile | 13.63 |
| Upper Quartile | 34.63 |
(b) Setup then evaluate the numerical expression for the mean of this data set. You must write it out completely.
| Mean | 24 |
c) Setup and then evaluate the numerical expression for the variance of this data set. You must write it out completely.
| Variance | 14 |
d) Find the standard deviation of this data set.
| Stand. Deviation | 3.74 |
Set up's and procedure:
Formula ref:
orchestra answered 1 year agoRelated Solutions
MT scores: 11, 11, 16, 17, 19, 20, 21, 21 23 24 24 26 26 27...
MT scores: 11, 11, 16, 17, 19, 20, 21, 21 23 24 24 26 26 27 27
28 28 28 29 30 31 31 32 33 35 37 38 38 39 42 44
Questions for Class MT Score Distribution Analysis
1. Create a boxplot of MT scores.
2. Compute the probability that a randomly selected student from
the class scored higher than 20.
3. Are the MT scores normally distributed? Why or why not?
4. Assuming a normal fit, compute...
MT scores: 11, 11, 16, 17, 19, 20, 21, 21 23 24 24 26 26 27...
MT scores: 11, 11, 16, 17, 19, 20, 21, 21 23 24 24 26 26 27 27
28 28 28 29 30 31 31 32 33 35 37 38 38 39 42 44
Questions for Class MT Score Distribution Analysis
1. Create a histogram of MT scores.
2. Describe the shape of the MT scores distribution.
3. Compute the mean and standard deviation.
4. Compute the 5-number summary.
5. Create a boxplot of MT scores.
6. Compute the probability that...
1- 25 28 24 21 28 26 23 22 29 21 29 24 22 25 26...
1-
25
28
24
21
28
26
23
22
29
21
29
24
22
25
26
18
27
26
29
23
21
26
27
21
25
27
24
29
22
25
24
24
21
29
22
25
21
22
22
25
22
25
Calculate a) arithmetic mean and b) standard deviation of the
sample.
A)
b)
- Represent a classified frequency table. Answer the following
questions in this table with column calculations.
Calculate a) arithmetic mean, b) quadratic mean, c)...
Consider a sample with data values of 26, 24, 23, 18, 31, 35, 29, and 24....
Consider a sample with data values of 26, 24, 23, 18, 31, 35,
29, and 24. Compute the range, interquartile range, variance, and
standard deviation
For the stress data given below with the nearest error of 1: 27-17-11-24-36-13-29-22-18 23-30-12-46-17-32-48-11-18 18-32-26-24-38-24-15-13-13 18-21-27-20-16-15-37-19-19...
For the stress data given below with the nearest error of 1:
27-17-11-24-36-13-29-22-18
23-30-12-46-17-32-48-11-18
18-32-26-24-38-24-15-13-13
18-21-27-20-16-15-37-19-19
a) Construct a frequency distribution table.
b) Construct the three types of statistical graphs.
c) Determine the (1) Mean, (2) Median, (3) Mode, (4) Range,
Variance, and (6) Standard Deviation.
For the following data set, 5, 9, 12, 15, 19, 21, 22, 22, 24, 26, 27,...
For the following data set, 5, 9, 12, 15, 19, 21, 22, 22, 24,
26, 27, 27, 31, 33, 33, 34, 37, 38, 60, 70 a) Find the quartiles Q1
Q2 Q3 b) Find the five number summary c) Find the interquartile
range (IQR) IQR = d) Find the lower limit LL = e) Find the upper
limit UL = f) Identify the potential outliers (Separate each
outlier with a comma. Write NPO if there is no potential outlier)
The...
Question 2 Raw data: 19 14 25 17 29 24 36 23 9 26 22 31...
Question 2
Raw data: 19 14 25 17 29 24 36 23 9 26 22 31 19 28
8
2.1 Group the data into a frequency distribution with
a lowest class lower limit of 8 and class width of 7, then draw an
ogive curve and use it to estimate the mean
Buffalo Boston 26 23 27 14 39 11 23 19 17 19 16 4 21 9...
Buffalo
Boston
26
23
27
14
39
11
23
19
17
19
16
4
21
9
31
12
1
12
23
7
32
32
32
26
24
21
42
16
38
16
29
18
16
16
12
20
29
20
16
11
18
10
27
18
2
11
21
17
35
20
21
20
29
25
24
16
17
17
21
8
38
21
9
24
31
26
16
27
24
18
24
17
13
15
21
21
21
32...
Find the 5 number summary for the data shown 11 17 20 21 25 29 34...
Find the 5 number summary for the data shown
11
17
20
21
25
29
34
39
47
58
74
75
77
82
5 number summary(from least to greatest):
From the table below, give the percentile of a value of 48
(rounded to the nearest whole percentile)
83
48
28
111
68
105
48 represents the -th percentile
Manufacturer A B C D 25 23 25 27 23 21 25 26 21 ...
Manufacturer
A B C D
25 23 25 27
23 21 25 26
21 23 25 27
23 24 21 26
To test whether the mean time needed to mix a batch of material is
the same for machines produced by 4 manufacturers, the Jacobs
Chemical Company obtained the following data on the time (in
minutes) needed to mix the material.
What is the p value?
Does the data provide strong evidence evidence against Ho or
weak evidence?...
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