Question

This data is from a **sample**. Calculate the mean,
standard deviation, and variance.

This data is from a
Please show the following answers to 2 decimal
places.Sample Mean = Sample Standard Deviation = Sample Variance = (Please use the standard deviation above for your calculation.) Ooops - now you discover that the data was actually from a population! So now you must give the population
standard deviation.Population Standard Deviation = |
---|

Answer #1

Solution:

Sample mean = (20.5+45.3+10.6+31.8+28.4+30.6+49.8+32.2+27.3)/9 = 276.5/9 = 30.72

Sample standard deviation = Sqrt(summation(Xi-mean)^2/(n-1)) =Sqrt( (20.5-30.72)^2 +(45.3-30.72)^2+(10.6-30.72)^2+(31.8-30.72)^2+(28.4-30.72)^2+(30.6-30.72)^2+(49.8-30.72)^2+(32.2-30.72)^2+(27.3-30.72)^2)/8) = Sqrt(1106.34/8) = 11.76

Sample variance = (sample standard deviation)^2 = (11.76)^2 = 138.29

Population standard deviation = sqrt(summation(Xi-mean)^2/n) = Sqrt(1106.34/9) = 11.09

This data is from a sample. Calculate the mean, standard
deviation, and variance. Suggestion: use technology. Round answers
to two decimal places.
x
32.5
34.8
49.7
45
18.1
35.2
42.6
10.6
20.8
Mean =
Standard Deviation =
Variance =
Ooops - now you discover that the data was actually from a
population! So now you must give the population standard
deviation.
Population Standard Deviation =
Question Help: Message Message instructor

Here is a frequency distribution table (FDT) for a small data
set:
data value
frequency
46
26
47
28
48
25
49
19
50
16
Find the following measures of central tendency.
mean (¯xx¯) = (Please show your answer to one decimal
place.)
median = (Please enter an exact answer.)
mode = (Please enter an exact answer.)
This data is from a sample. Calculate the mean,
standard deviation, and variance.
x
25.4
22.9
20.5
19.9
37
37.6
40.6
21.9
23.9
Please show the...

This data is from a sample. Calculate the mean,
standard deviation, and coefficient of variation.
45.6
24.1
17
31.7
35.9
12.1
11.7
23
Please show the following answers to 2 decimal
places.
Mean =
Standard Deviation =
Coefficient of Variation = % (Please enter a whole number.)

Calculate the margin of error for the population mean using
sample data: sample standard deviation s = 14, sample size N = 49.
Use significance level alpha = 0.05.

Find the sample mean, median, variance, standard deviation, and
the range for the following data. 10, 17, 13, 16.

2. Given the following data, calculate the mean, median, mode,
midrange, standard deviation, and variance.
14.35, 17.22, 18.90, 20.02, 34.43, 12.85, 18.49, 7.62, 19.93
(a) Mean
(b) Median
(c) Mode
(d) Range
(e) Standard Deviation
(f) Variance

Find the mean, variance, and standard deviation from the sample
data.
x f
0-3 42
4-7 84
8-11 55
12-15 83
16-19 112
20-23 24

1a.Given the sample standard deviation of a data set is 10.34,
what is the sample variance?
(a) 3.22 (b) 106.92 (c) 9.34 (d) 20.68
1b.Subtracting 3 from each value in a data set would not change
which of the following measures?
(a) The range (b) The sample variance (c) The standard deviation
(d) All of the above would not change.

Consider the following data: −2,−2,10,−2,10,10 Copy Data
Calculate the value of the sample variance, standard deviation, and
value of range. Round your answer to one decimal place .

Calculate the sample variance and sample standard deviation for
the following frequency distribution of heights in centimeters for
a sample of 8-year-old boys. If necessary, round to one more
decimal place than the largest number of decimal places given in
the data.
Heights in Centimeters
Class
Frequency
116.1 - 120.0
35
120.1 - 124.0
33
124.1 - 128.0
39
128.1 - 132.0
48
132.1 - 136.0
14
What is the sample variance and sample standard deviation?

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