Question
In: Statistics and Probability
Data Set: 5, 9, 11, 14, 15, 17, 19, 23 -Construct a frequency table using 5...
Data Set: 5, 9, 11, 14, 15, 17, 19, 23
-Construct a frequency table using 5 as a starting point and a
class of width 7
-Construct a relative frequency histogram. Include the
midpoints and boundary points
- Find the mean, Variance, and standard deviation without a
graphing calculator of the sample data
Data Set:
5, 9, 11, 14, 15,
17, 19, 23
Data Set:
5, 9, 11, 14, 15,
17, 19,
Data Set:
5, 9, 11, 14, 15,
17, 19, 23
Solutions
Expert Solution
In this case we have to construct the frequency table of the data with set of values 5,9,11,14,15,17,19,23 with 5 as a starting point and 7 as a width of class of interval. Here, we have class of equal width of 7 and the class is created in such a way that the in each class lower limit is included in the class where as upper limit excluded so in 5-12 class of width 7, 5 is included and 12 excluded. Then, we have given the frequency table as
The frequency histogram with labels and mid point of the class is given below
Now, we obtain the mean using the frequency table. For this let us consider
For given class and the frequency table, we have the mean and variance as
Therefore we first calculate the mean using the above table.
Once we have obtained the mean the variance can be obtained by making use of the table below
Using the formula and the above table we have variance and standard deviation as
orchestra answered 1 year agoRelated Solutions
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...
Construct a frequency distribution for the given data set using 6 classes. In the table, include...
Construct a frequency distribution for the given data set using
6 classes. In the table, include the midpoints, relative
frequencies, and cumulative frequencies. Which class has the
greatest frequency and which has the least frequency? Amount (in
dollars) spent on books for a semester 524 56 388 225 468 545 213
117 441 405 429 419 481 263 197 145 167 357 50 357 191 204 410 109
473 311 89 88 117 Complete the table, starting with the lowest...
Consider the grouped frequency distribution. Class Limits 3-5 6-8 9-11 12-14 15-17 f 4 10 10...
Consider the grouped frequency distribution.
Class Limits
3-5
6-8
9-11
12-14
15-17
f
4
10
10
5
10
(a) Find the mean. (Give your answer correct to two decimal
places.)
(b) Find the variance. (Give your answer correct to two decimal
places.)
(c) Find the standard deviation. (Give your answer correct to two
decimal places.)
Given the following data X 12 5 6 8 11 23 14 16 15 5 Y...
Given the following data
X
12
5
6
8
11
23
14
16
15
5
Y
6
10
6
5
2
4
20
5
6
10
a. Is there a linear correlation between X and Y? Explain your
answer.
b. What is the regression question?
c. If x value is 37, what is the y value?
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
A B C 13 7 9 29 19 54 25 54 5 17 15 11 21...
A
B
C
13
7
9
29
19
54
25
54
5
17
15
11
21
22
20
a) Construct ANOVA table and test the null hypothesis: μA = μB =
μC
b) Assume that you have statistically enough evidence to reject
the null hypothesis; suggest an approach to find out whether all
three means are different than each other or only one of them is
different than others (while the other two means are equal) and if
the second...
Table - 02 Hardwood Concentration 5% 10% 15% 20% 7 12 14 19 8 17 18...
Table - 02
Hardwood Concentration
5%
10%
15%
20%
7
12
14
19
8
17
18
25
15
13
19
22
11
18
17
23
9
19
16
18
10
15
18
20
A manufacturer of paper used for making grocery bags is
interested in improving the tensile strength of the product.
Product engineering thinks that tensile strength is a function of
the hardwood concentration in the pulp and that the range of
hardwood concentrations of practical interest is between...
Answer all the question below. Table 2: 1 3 5 7 9 11 13 15 17...
Answer all the question below.
Table 2:
1
3
5
7
9
11
13
15
17
19
21
23
25
27
29
31
33
35
37
39
41
43
45
47
49
12.2373551424579
11.7708440253038
11.3114033194700
11.0981090241345
10.9917532871426
10.9633449623870
10.9328985186904
11.0609123182770
11.1447150124713
11.2994243413533
11.4699411879533
11.5862580969086
11.7887055678588
11.9277833926721
11.9332325617172
12.0027754228957
12.0455191817870
11.9895076044597
12.1161492247957
11.9142999902406
11.9523445384738
11.8444716643177
11.8325572681845
11.6394782554936
11.4409836766153
Visualize data in table 2 in a 2-dimensional
plot using Matlab.
Interpolate data in table 2 to determine a
value of...
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...
Below is a data set presented in a Frequency Table Data Value Frequency Data value. Frequency...
Below is a data set presented in a Frequency Table Data Value
Frequency
Data value. Frequency
2 64
4 68
9 18
10 33
14 117
Find the following for the data set above: a.) Mode = b.) Median
= c.) Mean = (Round to TWO decimal places)
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