Sr. no | X | (X - X̄)² |
1 | 1.4 | 43.12 |
2 | 2 | 35.60 |
3 | 2.5 | 29.88 |
4 | 3 | 24.67 |
5 | 3.3 | 21.78 |
6 | 3.7 | 18.20 |
7 | 3.7 | 18.204 |
8 | 4.2 | 14.188 |
9 | 4.4 | 12.721 |
10 | 4.6 | 11.334 |
11 | 4.8 | 10.028 |
12 | 6.7 | 1.604 |
13 | 6.8 | 1.361 |
14 | 7.1 | 0.751 |
15 | 7.3 | 0.444 |
16 | 8.8 | 0.694 |
17 | 9.1 | 1.284 |
18 | 9.4 | 2.054 |
19 | 9.4 | 2.054 |
20 | 10.2 | 4.988 |
21 | 10.4 | 5.921 |
22 | 10.6 | 6.934 |
23 | 11 | 9.201 |
24 | 11.7 | 13.938 |
25 | 12.6 | 21.468 |
26 | 12.9 | 24.3378 |
27 | 13.3 | 28.4444 |
28 | 14.2 | 38.8544 |
29 | 14.4 | 41.3878 |
30 | 15.5 | 56.7511 |
X | (X - X̄)² | |
total sum | 239 | 502.21 |
n | 30 | 30 |
a)mean = ΣX/n = 239.000 / 30 = 7.9667
b)sample std dev = √ [ Σ(X - X̄)²/(n-1)] = √ (502.2067/29) = 4.1614
c)Median=0.5(n+1)th value = 15.5th
value of sorted data
= 8.05
d)mode= highest frequency data = 3.7 , 9.4
e)range=max-min = 15.5 - 1.4 = 14.1
f) sample variance = Σ(X - X̄)²/(n-1)= 502.2067 / 29 = 17.317
g) mid range=(max + min)/2= ( 15.5 + 1.4 ) /2 = 8.45
h) D6 = 0.6*(n+1)th value = 18.6th value = 9.4
i) percentile of CA = number of values below CA/n = 23/30=0.7667
so, percentile = 76.76th
j) quartile , Q1 = 0.25(n+1)th value=
7.75th value of sorted data
= 4.075
Quartile , Q3 = 0.75(n+1)th value= 23.25th
value of sorted data
= 11.175
IQR = Q3-Q1 = 7.1
1.5IQR = 10.65
lower bound=Q1-1.5IQR= -6.58
upper bound=Q3+1.5IQR= 21.83
outlier =values outside lower bound and upper bound
total outlier below lower bound= 0
total outlier above upper bound= 0
total outlier = 0
can someone help with step by step answers to these problems Name: aux pobles Show all...
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). A MLR model has LIFE (y) as the response...