Question

Calculate ¯ x x¯ (x-bar) and the median for the data shown, to two decimal places x 16.7 2.2 2.1 7.9 1.6 14.5 21.5 19 26.9 29 7.2 28.3 6.3 23.9 25.6 16.1 6.4 15.2 19.1 4.5 22.5 13.7 11.4 16.9 ¯ x x¯ = Median

Answer #1

**Solution :**

We are given a data of sample size n = 24

16.7,2.2,2.1,7.9,1.6,14.5,21.5,19,26.9,29,7.2,28.3,6.3,23.9,25.6,16.1,6.4,15.2,19.1,4.5,22.5,13.7,11.4,16.9

Using this, first we find sample mean()

=

= (16.7 + 2.2.......+ 16.9)/24

**
= 14.94**

**The Median =**

Arrange all data in ascending order -

1.6, 2.1, 2.2, 4.5, 6.3, 6.4, 7.2, 7.9, 11.4, 13.7, 14.5, 15.2, 16.1, 16.7, 16.9, 19, 19.1, 21.5, 22.5, 23.9, 25.6, 26.9, 28.3, 29

Now, n + 1/ 2 = 24 + 1/ 2 = 12.5

The median = 12.5^{th} observation

= 15.2 + 16.1 /2

= 15.65

**The Median = 15.65**

7. Using Excel, find the mean and the standard deviation of the
AT&T speeds from the data set #32 Airport Data Speeds. Round
your answers to 3 decimal places. (Show your work!)
mean, x :
standard deviation:
AIRPORT
CODE
VERIZON
SPRINT
AT&T
T-MOBILE
ATL
77.8
0.4
33.9
27.3
AUS
28.5
0.5
29.0
5.1
BNA
1.9
2.3
4.6
9.5
BOS
6.2
1.0
11.7
9.6
BWI
43.0
3.4
12.7
3.2
CLE
15.1
0.5
7.6
24.7
CLT
7.9
1.1
9.1
4.4
CMH
25.7...

Census data was collected on the 50 states and Washington, D.C.
We are interested in determining whether average lifespan (LIFE) is
related to the ratio of males to females in percent (MALE), birth
rate per 1,000 people (BIRTH), divorce rate per 1,000 people
(DIVO), number of hospital beds per 100,000 people (BEDS),
percentage of population 25 years or older having completed 16
years of school (EDUC) and per capita income (INCO).
"STATE" "MALE" "BIRTH" "DIVO" "BEDS" "EDUC" "INCO" "LIFE"
AK...

Census data was collected on the 50 states and Washington, D.C.
We are interested in determining whether average lifespan (LIFE) is
related to the ratio of males to females in percent (MALE), birth
rate per 1,000 people (BIRTH), divorce rate per 1,000 people
(DIVO), number of hospital beds per 100,000 people (BEDS),
percentage of population 25 years or older having completed 16
years of school (EDUC) and per capita income (INCO), with LIFE (y)
as the response variable, and MALE...

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