For the variable AGE, calculate the standard deviation. Respondent Marital Status Age Attitude on Abortion (high score= strong opposition) A Single 18 10 B Single 20 9 C Widowed 21 8 D Married 30 10 E married 25 7 F Married 26 7 G Divorced 19 9 H Widowed 29 6 I Divorced 31 10 J Married 55 5 K Widowed 32 4 L Married 28 3 M Divorced 23 2 N Married 24 1 O Divorced 32 9
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
- For the variable AGE, calculate the standard deviation.
Respondent |
Marital Status |
Age |
Attitude on Abortion (high score= strong opposition) |
A |
Single |
18 |
10 |
B |
Single |
20 |
9 |
C |
Widowed |
21 |
8 |
D |
Married |
30 |
10 |
E |
married |
25 |
7 |
F |
Married |
26 |
7 |
G |
Divorced |
19 |
9 |
H |
Widowed |
29 |
6 |
I |
Divorced |
31 |
10 |
J |
Married |
55 |
5 |
K |
Widowed |
32 |
4 |
L |
Married |
28 |
3 |
M |
Divorced |
23 |
2 |
N |
Married |
24 |
1 |
O |
Divorced |
32 |
9 |
Given sample data provides the information of respondents .
To find standard deviation , use the following formula :
Compute this formula in 4 steps :
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation
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