Consider the data set.
2,
3,
4,
6,
8
(a)
Find the range. (Enter an exact number.)
(b)
Use the defining formula to compute the sample standard
deviation s. (Enter a number. Round your answer to two
decimal places.)
(c)
Use the defining formula to compute the population standard
deviation σ. (Enter a number. Round your answer to two
decimal places.)
Using the same data… 2 3 4 4 4 6 6 6 7 8 8 9 10 10 11 12 16 16
28 46 (d) [5 pts] Determine the 5# summary. (e) Determine the lower
and upper fence to determine if there are any outliers. (f) Draw
and carefully label a modified boxplot for this data. (g) What is
the shape of the distribution (symmetric, skewed left, or skewed
right). Explain.
For the following data set, X: 9, 6, 8, 3, 8, 9, 3, 4, 3, 7:
Calculate:
1. Variance
2. Mode
3. Mean
4. Mean Average Deviation (MAD) about the mean
5. Median
Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8, 3, 1,
12, 15, 13}, which is the data of a sample taken from a larger
population.
Calculate the arithmetic mean
Find the median
Find the mode
Calculate the range
Calculate the interquartile range
Calculate the mean deviation
Calculate the variance
Calculate the standard deviation
Consider a set A = { 1, 2, 3, 4, 5, 6, 8}
Consider these relations,
1. R1 = { ( a, b) | a = 3b }
Can you write down the pairs ? one such pair is ( 3, 1)
2. R2 = { (a, b) | 2a = b }
Can you write down the pairs ? one such pair is (2, 4)
3. R3 = { ( a, b) | a >= 2b }
Can you...
For the following data set [ 1, 4, 3, 6, 2, 7, 18, 3, 7, 2, 4,
3, 5, 3, 7] please compute the following
1. measures of central tendency (3 points)
2. standard deviation ( 5 points)
3. is 18 an outlier? (5 points)
4. describe the shape of the distribution (2 points)
Consider the following two sample data sets.
Set 1:
5
3
2
8
6
Set 2:
3
12
13
2
7
a. Calculate the coefficient of variation for each data set.
b. Which data set has more variability?
a. The coefficient of variation for set 1 is
nothing
%.
(Round to one decimal place as needed.)
Consider the data set. 2, 4, 6, 8, 9
(a) Find the range. (Enter an exact number.)
(b) Use the defining formula to compute the sample standard
deviation s. (Enter a number. Round your answer to two decimal
places.)
(c) Use the defining formula to compute the population standard
deviation σ. (Enter a number. Round your answer to two decimal
places.)
Consider the data set. 2, 4, 6, 8, 9
(a) Find the range. (Enter an exact number.)
(b) Use the defining formula to compute the sample standard
deviation s. (Enter a number. Round your answer to two decimal
places.)
(c) Use the defining formula to compute the population standard
deviation σ. (Enter a number. Round your answer to two decimal
places.)