The standard deviation is proportional to the scale factor. Cutting each score in half will result in a standard deviation of
σ = 8/2 = 4
Lets check
1/6 ... 2/11
cross-multiply
1*11 ... 2*6
11 ... 12
12, which was on right side, is greater
hence 2/11 is greater.
cross-verify: 1/6 = 0.167
2/11 = 0.1818
yes, 2/11 is greater :)
Answer:
a) Discrete Variable
b) Discrete Variable
c) Discrete Variable
d) Continuous Variable
Step-by-step explanation:
We have to identify the given variable as discrete r continuous.
Discrete Variables:
- They are expressed in whole numbers.
- They are counted not measured.
- They cannot take any value within an interval.
Continuous Variables:
- They are expressed in decimal numbers.
- They are measured not counted.
- They cannot take any value within an interval.
a) The number of countries ever visited
Since number of countries will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
b) The number of sons
Since number of sons will always be expressed in whole numbers and not decimals. Also, they will always be counted and not measured. Thus, it is a discrete variable.
c) Shoe size
Shoe size are expressed in whole number. The underlying measure is length of feet which is a continuous variable but shoe size are always given in whole number. Thus, they cannot take any value within an interval. Thus, it is a discrete variable.
d) Body temperature
Body temperature can be expressed in decimal. A Body temperature of 42.5 makes sense. Thus, they can take any value within an interval. Also, it is measured not counted. Thus, it is a discrete variable.
