Question

Find the mean and standard deviation of the following data:

5, 6, 7, 8, 9

Based on these results, check whether the value of 10
*unusual*?

Answer #1

Following table shows the calculations;

X | (X-mean)^2 | |

5 | 4 | |

6 | 1 | |

7 | 0 | |

8 | 1 | |

9 | 4 | |

Total | 35 | 10 |

Sample size: n=5

The mean is:

The standard deviation is:

The data values that are within 2 standard deviations of mean considered as usual data values. The usual range of values is:

Since 10 lies in the above range so it is not unusual.

a. find the mean and standard deviation of the following set of
ungrouped sample data: 4, 3, 5, 2, 3, 1, 2, 5, 3, 1, 5, 4, 6, 4, 5,
1, 3, 3, 7, 8, 7, 5, 4, 3, 7, 8, 4, 6, 9, 10, 10, 9, 6, 4, 6.
b. What proportion of the measurements lies within one standard
deviation of the mean? Within two standard deviations of the mean?
Within three standard deviations?
c. Based on part (b),...

x
f
10
3
9
6
8
4
7
5
6
2
Find the population Standard Deviation ( σ ) for the following
Data

find the sample variance, standard deviation, and range of the
data.
7, 5, 9, 7, 2, 4, 3, 2, 3, 8

7. Consider the following data:
x 6 7 8 9 10
P( X = x ) 0.3 0.1 0.2 0.1 0.3
Step 1 of 5: Find the expected value E(X) E ( X ) . Round your
answer to one decimal place.
Step 2 of 5: Find the variance. Round your answer to one decimal
place.
Step 3 of 5: Find the standard deviation. Round your answer to
one decimal place.
Step 4 of 5: Find the value of P(X<9)P(X<9)....

Calculate Varience and Standard Deviation for the following
data
X
4
6
8
10
12
y
5
7
9
13
14

Consider the following data: 6, 8, 2, 3, 4, 4, 5, 5, 9, 6, 6, 7,
7 ,7, 7, 8, 8, 8, 8, 9, 9.
What type of distribution is this?

1.For the given sample data values:5, 6, 8, 9, 10, 12, 14,
16
Find the mean, variance and Standard deviation
mean =________Q1(WHOLE)
Standard deviation=______Q2(ONE DECIMAL PLACE)
coefficient of variation:______%Q3(ROUND TO WHOLE use previous
answers)
Find the indicated percentile or quartile for the given sample
data values
Q1=________Q4
P85 =________Q5
Q2=________Q6
(NOTE: THE FORMULA WILL DETERMINE HOW TO ROUND EACH ANSWER.)

A: 8 6
5 8 9 5
3 7 9 3
5 7 9 3
6 4 5 8
5 3 9
B: 3 7
9 3 5 7
9 6 8 3
5 9 6 7
8 3 7 9
5 2 8
C: 5 9
6 7 8 3
7 9 5 2
8 8 6 5
8 9 5 4
7 8 5
Using the data from the Production Run Population table what
type of graph is not appropriate to...

x
f
10
3
9
6
8
4
7
5
6
2
Find the Z score when X = 9, for the for the following Data

A researcher has collected the following sample data.
5
12
6
8
5
6
7
5
12
4
a)The sum of squares (sum of squared deviations from the mean)
is:
b)The variance is:
c)The standard deviation is:

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