Question

- Define the following terms, in your own words: Mean, Median, Mode, Range, and Standard deviation.

2. Create and post an example that has a data set of 15 to 25 numbers, similar to the example in the Introduction above. Do not find the mean, median, mode, range and standard deviation of your data set.

Answer #1

Mean - Mean is the average of all data points available.

It is defined as sum of all the data points divided by number of data points.

Median - It is value of data point which falls in the middle when we arrange all samples in ascending order.

Mode - It is value of data point which is repeated maximum times.

Range - It is the difference between minimum and maximum value of the data points present in our sample.

Standard deviation - It represents how much the data points in the sample differ from the mean value of the sample.

2. Here is an example of data set of 20 numbers. It represents the age of teachers in our university:

25 , 27, 29, 31, 28, 45, 50, 55 , 65, 23, 34, 37, 38, 38, 39, 57, 56, 47, 49, 61

Find the mean, median, mode, range, variance, and standard
deviation for the following data: 10,12, 15, 16, 16, 17, 18.

Find the mean, median, mode, range, and standard deviation of each
data set that is obtained after adding the given constant to each
value.
56, 37, 41, 50, 38, 44, 32, 54; + (-7)

Find the mean, median, mode, range, and standard deviation for
this data set. When
applicable state whether the data set is: unimodal, bimodal,
or multimodal. Round your
answers to one or more decimal place than the largest number
of decimal places given in
the data. The data set is a sample.
$11.40, $32.00, $22.50, $12.01, $10.08, $18.30, $18.40,
$32.00

Find every possible statistic of your data. (Mean, median, mode,
standard deviation, variance, midrange, range, etc.) explain what
these statistics mean in the context of your data without
defining or using a formula. Is the statistic realistic of
the population? Is it skewed? How is it distributed? What level of
measurement is it?
2005 Kelly Blue Book Used Cars
Price
Mean
$21,343.14
Standard
Error
$348.61
Median
$18,025.00
Mode
$10,921.95
Standard
Deviation
$9,884.85
Sample
Variance
97710314.9
Range
$62,116.54
Minimum
$8,638.93
Maximum...

. In your own words, define the describe the standard
error of the mean.
2. In your own words, describe the difference between the
standard deviation and the standard error of the mean.
3. What is are the symbols for the standard deviation and the
standard error of the mean (SE or SEM)?
4. What is sampling error?
5. What is the law of large numbers?

Compute the mean, median, range, and mode of the following ten
numbers:
12, 15, 17, 17, 17, 18, 21, 24, 26, 30.
The mean of the five numbers: 14, 18, 20, 30, and x is 19. What
is x?
Compute the sample standard deviation and population standard
deviation of 10, 20, 25, 35, 40. Show all your calculations

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

Explain in your own words what these terms mean, and what they
tell you about a numerical data set. Use complete sentences.
• First quartile
• Median
• 40th percentile
• Interquartile range • Outlier
• Mean

(a) Find the mean, median, mode and
standard deviation of the following set of ungrouped sample
data:
4, 2, 3, 5, 3, 1, 6, 4, 2, 3
(b) What proportion of the
measurements lies within 1 standard deviation of the mean? Within 2
standard deviations of the mean? Within 3 standard
deviations?
(c) Based on your answers to part
(b), would you conjecture that the histogram is approximately bell
shaped? Explain.

With data set 51,47 and 60, the mean is 52.6. What is the
median, mid-range, mode, variance and standard deviation? Are there
any confidence interval and normal distribution? If so what is
it?

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