Question

discuss how to interpret the mean, median, and standard deviation of a data set.

Answer #1

**Mean** represents an average value of the inputs
of a data set. The mean can simply be found out by dividing the sum
of the data points by the number of data points.

**Median** represents the central value of the data
set. It can be found by simply arranging the data points in
ascending order and if there are odd data points then the central
value is the median and if there are even data points, then the
average of the two central points is the median.

**Standard deviation** is a measure of the spread
of a data set. It highlights how far on average the data points are
to each other. It is measured by finding the square root of
variance.

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 the mean, median, range, variance and standard deviation of
the data set below. The data represent the fixed monthly costs for
Sam's Linen Service.
Monthly charges
Monthly cost ($)
Bank charges
482
Cleaning
2208
Food
1750
Computer expenses
2471
Lease payments
2656
Grounds fees
1475
Postage
2117
Uniforms
2600
Delivery fuel
955

(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.

Interpret the mean, median and mode and standard
deviation for each variable according to the statistics.
Statistics
Advertising Sales
N Valid 36 36
Missing 0 0
Mean 24.25 28 28.5278
Median 24.25 23.0000
Mode 15.50a 21.00
Std. Deviation 6.18142 18.77763
Variance 38.210 352.599
Skewness .044 .488
Std. Error of Skewness .393 .393
Kurtosis -.618 -.715
Std. Error of Kurtosis .768 .768
Minimum 12.00 1.00
Maximum 36.50 65.00
a. Multiple modes exist. The smallest value is shown

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.

What is the mean and standard deviation of the mean for the
following set of data (3.9 2.6 4.3 2.2)

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

For each of the data sets provided below, calculate the mean,
median, mode, and standard deviation.
1) Data Set 1:
23, 26, 50, 39, 55, 64, 50, 10, 42, 35, 51, 42, 43, 56, 64, 48,
48, 57, 27, 37
2) Data Set 2:
26, 31, 10, 37, 38, 35, 30, 24, 26, 27, 24, 32, 32, 19, 34, 33,
14, 32, 24, 39, 30

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

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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