Answer:
Range = 29
Variance= (X₁- U) ² / N= 973/10 = 97.3
Standard Deviation= √variance= √97.3= 9.864
Step-by-step explanation:
Range = Difference between the highest and lowest value = 97-68= 29
Variance
X₁ X₁-U (X₁- U) ²
80 0 zero
68 -12 144
71 -9 81
72 -8 64
95 15 225
89 9 81
97 17 289
72 -8 64
75 -5 25
81 1 1
∑ 800 ZERO 973
u= ∑X₁ /10=800/10=80
Variance= (X₁- U) ² / N= 973/10 = 97.3
Standard Deviation= √variance= √97.3= 9.864
(b) The important feature of the data is not revealed through the different measures of variation is that the variability of two or more than two sets of data cannot be compared unless a relative measure of dispersion is used .
Answer:
X = -4
Step-by-step explanation:
There are a couple of ways to look at this.
1) Set up a ratio: 2 cups sugar to 5 cups flour = 5 cups sugar to x cups flour
2/5 = 5/x
cross multiply
2x = 25
x = 12 1/2 cups flour
2) Look at the factor by which the cups of sugar was increased and increase
the cups of flour by the same factor.
2x = 5
x = 2.5
The sugar was increased by a factor of 2.5 so increase flour by same factor.
5(2.5) = 12 1/2 cups flour