CR Prob And Stats - Trimester 1 Final

Question 0

Interpreting graphs (4)

Answer 0

Shape (skewed, symmetrical)
Outlier (1.5 x IQR)
Center
Spread (range)

Question 1

Bar graphs (5)

Answer 1

Represent each category as a bar

Easier to make and read than pie charts

Often better to order bars in order of height (helps see what occurs most)

Compares any set of quantities that are measured in the same units

Represents multiple categories

Question 2

Skewed to the left (2)

Answer 2

➡️↗️↘️

Mean is to left of median

Question 3

Skewed to the right (2)

Answer 3

↗️↘️➡️

Mean is to the right of median

Question 4

stemplots and Histograms (3)

Answer 4

Histograms and stemplots graph the distribution of a quantitative variable

Histograms shows shape of distribution and represents ONE quantitative variable

Stemplots present exact

Question 5

Density curve

Answer 5

Has a total area of 1

Question 6

Mean (2)

Answer 6

μ

Balance point of curve

Question 7

For symmetric curves…

Answer 7

Mean and median are equal

Question 8

Normal curve (5)

Answer 8

N(μ, σ)

Has normal curve N(0,1)

All normal curves have the same overall shape: symmetric, single-peaked, bell shaped

2nd–> distr –> normalcdf(low, high, mean, std dev) ((find percentiles, proportion))

2nd –> distr –> invnorm(area, mean, std dev) ((find score))

Question 9

How do you find the z score? (2)

Answer 9

Z = x - μ / σ

X = random point

Question 10

68-95-99.7 rule (3)

Answer 10

68%- μ±σ

95%- μ±2σ

99.7%- μ±3σ

Question 11

Resistant measures (3)

Answer 11

Median

Quartiles

Mean and standard deviation are not resistant

Question 12

Measure of spread (4)

Answer 12

Std deviation - if I used mean

IQR - if I used median

Range - (max-min) very sensitive to outliers

Variance

Question 13

How to determine if a number is an outlier? (3)

Answer 13

1.5 x IQR = #

Q1 - # = anything below is outlier

Q3 + # = anything above is outlier

Question 14

Measures of center (2)

Answer 14

Mean - use if symmetrical

Median - use if data is skewed w/ outliers

Question 15

Standard deviation (4)

Answer 15

S = 0 –> no spread

S>0 –> S gets larger

S = always > or = 0

Not resistant to outliers

Question 16

P(A and B) =

Answer 16

P(A and B) = P(A) x P(B|A)

Question 17

Binomial probability (6)

Answer 17

nCr = (p^k)(q^n-k)

N = # of trials 
K = # of successes 
n-k = # of failures 
P= probability of success in one trial 
Q = 1-P = probability failure in one trial