MATH 225N WEEK 5 DISCUSSION THE
NORMAL DISTRIBUTION 2026 CERTIFICATION
EVALUATION TEST PAPER QUESTIONS
SOLUTIONS GRADED A PLUS
◉ Exponential DECAY graphs.
Answer: Exponential decay graphs curve down
◉ Exponential GROWTH graph.
Answer: Exponential growth graphs curve up
◉ Midpoint formula.
Answer: The point in the middle of a line segment
◉ Parallel lines and slope.
Answer: Have the same or equal slopes
◉ Perpendicular lines & slope.
Answer: Have opposite reciprocal slopes (flipped and sign changed)
Ex. 3/2--> -2/3
,◉ Domain of a relation.
Answer: Domain: the x coordinates, input values, independent
variables, on x axis
◉ Range of a relation.
Answer: Range: the y coordinates, output values, dependent
variable, on the y axis
◉ "adding or subtracting by the same amount" means....
Answer: The equation is an LINEAR function
◉ "multiplying by the same amount" means....
Answer: The equation is an EXPONENTIAL function
◉ No Solution vs. Infinitely Many Solutions (all real #'s).
Answer: When solving if all variables disappear,
"No Solution": when 5=21
"Infinitely Many Solutions": when 5=5
◉ To graph data on calc..
Answer: To enter data: STAT, edit, input#s, ENTER
To make scatterplot: turn on Plot 1, graph, ZOOM 9
, ◉ Normal Distribution.
Answer: Mound of data in the middle
High in the middle, even on each side
◉ Standard Deviation (what does it mean?).
Answer: 2/3 of data or 67% of data is under the mountain
◉ Positively Skewed.
Answer: Long tail on the right
◉ Negatively Skewed.
Answer: Long tail on the left
◉ Line of best fit.
Answer: Also called "regression line", "linear model", "prediction
equation", or "trend line".
Use calculator to find
STAT, edit, input L1 and L2,
Stat, -> CALC,
#4 LinReg
NORMAL DISTRIBUTION 2026 CERTIFICATION
EVALUATION TEST PAPER QUESTIONS
SOLUTIONS GRADED A PLUS
◉ Exponential DECAY graphs.
Answer: Exponential decay graphs curve down
◉ Exponential GROWTH graph.
Answer: Exponential growth graphs curve up
◉ Midpoint formula.
Answer: The point in the middle of a line segment
◉ Parallel lines and slope.
Answer: Have the same or equal slopes
◉ Perpendicular lines & slope.
Answer: Have opposite reciprocal slopes (flipped and sign changed)
Ex. 3/2--> -2/3
,◉ Domain of a relation.
Answer: Domain: the x coordinates, input values, independent
variables, on x axis
◉ Range of a relation.
Answer: Range: the y coordinates, output values, dependent
variable, on the y axis
◉ "adding or subtracting by the same amount" means....
Answer: The equation is an LINEAR function
◉ "multiplying by the same amount" means....
Answer: The equation is an EXPONENTIAL function
◉ No Solution vs. Infinitely Many Solutions (all real #'s).
Answer: When solving if all variables disappear,
"No Solution": when 5=21
"Infinitely Many Solutions": when 5=5
◉ To graph data on calc..
Answer: To enter data: STAT, edit, input#s, ENTER
To make scatterplot: turn on Plot 1, graph, ZOOM 9
, ◉ Normal Distribution.
Answer: Mound of data in the middle
High in the middle, even on each side
◉ Standard Deviation (what does it mean?).
Answer: 2/3 of data or 67% of data is under the mountain
◉ Positively Skewed.
Answer: Long tail on the right
◉ Negatively Skewed.
Answer: Long tail on the left
◉ Line of best fit.
Answer: Also called "regression line", "linear model", "prediction
equation", or "trend line".
Use calculator to find
STAT, edit, input L1 and L2,
Stat, -> CALC,
#4 LinReg
