Statistics
Lower quartile / Q1
What is the median of the lower half of the data set?
a) Find the median of the entire data set
b) Find the median of the lower half of data
Ax+By=C
p2+14p-30=0
{−7+√87,−7−√87}
30b+53≥18b-83
b≥-34/3
Recursive formula
an=an-1+d
Upper quartile / Q3
What is the median of the upper half of the data set?
a) Find the median of the entire data set
b) Find the median of the upper half of data
Axis of symmetry
x=-b/2a
v2+6v−59=0
{−3+2√17,−3−2√17}
60a+64≥80a -92
a≥-34/5
Explicit formula
an=a+(n-1)d
Interquartile range
a) Find Q1 and Q3
b)Q3 - Q1
Parabola
y=ax2+bx+c
x2+6x+8=0
{−2,−4}
Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 105 GB available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs.
The cheapest memory cards she can find each hold 256 GB and cost $10. She wants to spend as little money as possible and still get the storage she needs.
Let C represent the number of memory cards that Nancy buys.
What is the inequality.
105+256C≥1000
Which ordered pair would not be a solution to y=x3-x?
(1) (-4,-60)
(2) (-3,-24)
(3) (-2,-6)
(4) (-1,-2)
4) (-1,-2)
Mean
Median
Mean - The average of the data?
a) Add all elements to data set
b) Divide by number of elements
Median - The middle element of the data set?
a) List elements in numerical order
b) If there is an odd number of elements, the median is the middle number
c) If there is an even number of elements, the median is the middle of the two.
Compound interest formula
A=P(1+r/n)^nt
8x2+16x=42
{3/2,−7/2}
-6x+14<-28 OR 9x+15≤-12
x≤-3 OR x>7
When solving the equation 12x2-7x=6-2(x2-1), Evan wrote 12x2-7x=6-2x2+2 as his first step. Which property justifies this step?
(1) subtraction property of equality
(2) multiplication property of equality
(3) associative property of multiplication
(4) distributive property of multiplication over subtraction
(4) distributive property of multiplication over subtraction
Mode
Range
Mode - The element that occurs the most times in the set?
a) If two different elements occur the same amount of times, they are both the mode
b) If all the elements occur the same amount of times there is no mode
Range - The difference between the largest and smallest number
a) Find max
b) Find min
c) Largest - smallest
Root formula
y=a(x-Root 1)(x-Root 2)
k2−12k+23=0
{6+√13,6−√13}
John needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. The plumber only charges for a whole number of hours. John would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
65+28H≤250
Solve by quadratic formula
8n2+7n-15=-7
{−7+√305/16,−7−√305/16}