1 variable statistics
What do the following notations represent?
Q1, Q3, med, min, max
Q1 = lower quartile
Q3 = upper quartile
med = median
min = minimum
max = maximum
A box plot has the following values:
min = 1
Q1 = 4
med = 5
Q3 = 9
max = 12
What percent of the data is between 4 and 12?
75%
Given the explanation:
On average the cost of phones at Cell Phones R Us are $145.32.
Which measure of center was used to make this statement?
Mean
List the TI 84+ calculator steps to calculate a Linear Regression model.
Enter data in L1 and L2
Stat then Calc then 4 LinReg (ax +b)
Enter or go down to calculate and hit enter
The interior values of a 2 way frequency table are known as these (hint: three word name!)
Find the median of the set 40, 33, 47, 26, 39, 51, 60, 28, 55, 64, 46
46
What two values create the edge of the box?
Upper and Lower Quartile values
Given the statement:
More than half the students scored an 82 on the quiz.
Which measure of center was used to write the statement?
Median
The y-intercept of the following linear regression is this number. y=1.76x - 13
-13
The exterior values of a 2 way frequency table are known as these (hint: three word name!)
Marginal Relative Frequencies
Find the mean of the set 26 28 33 39 40 46 47 51 55 60 64
43.55
Given the following values of a box plot for test scores:
35 60 75 85 95
min Q1 med Q3 max
If 60 students took the test, how many made less than an 85?
45 students
Given the statement:
Typically the ages of high school students are 2.56 years from the mean.
What statistical measure was referenced when writing this statement?
Standard Deviation
The following linear regression model describes the amount of money a person saves each month based on their monthly income:
y = .09x - 42.50
Predict the amount saved if a person earns $1,424.
$85.66
Given the following data, what is the probability of a person with red hair having blue eyes?
Red hair total: 17
Blue eye total: 7
Green eye total: 13
Red hair/blue eyes: 5
Red hair/green eyes: 12
Total people asked: 20
1/4 or 25%
What is the interquartile range of the set 69 71 90 100 75?
20
Given the following values of a box plot:
10 24 35 51 70
min Q1 med Q3 max
What percent of the values are between 25 and 51?
50%
From the list below: Sort the terms into either "Measures of Center" or "Measures of Spread".
Mean
Range
Median
Interquartile Range
Mode
Standard Deviation
Measures of Center: Mean, Median, Mode
Measures of Spread: Range, Interquartile Range, Standard Deviation
This value of exponential regression is created when 7 is entered as the x-value. x=3 y=1.5(2.0)^x
y=12
Given the following data, what is the probability of a person with red hair having green eyes?
Red hair total: 17
Blue eye total: 7
Green eye total: 13
Red hair/blue eyes: 5
Red hair/green eyes: 12
Total people asked: 20
3/5 or 60%
What is the name of the term for the distance a majority of points are from the mean?
Standard deviation
The box and whisker plot of the following data: 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 8, 9, 9, 10
Lower value: 1
Q1: 4.5
Median: 7
Q3: 8
Upper value: 10
If the standard deviation of a data set is 0.45, what is the variance?
0.2025
Given the following linear regression: y = -15.43x + 805.33 which had a data domain between 5 and 39 do the following:
Predict y when x = 23
Predict y when x = 42
When x = 23 y = 450.44
When x = 42 y = 157.27
Is it more likely for a redhead to have green eyes or a green eyed person to have red hair?
redhead to have green eyes