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 is the upper quartile?
9
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
Solve: 6r + 7 = 13 + 7r
r = -6
Find the median of the set 40, 33, 47, 26, 39, 51, 60, 28, 55, 64, 46
46
Given the following values of a box plot:
min = 1
Q1 = 4
med = 5
Q3 = 9
max = 12
What is the lower quartile?
4
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 calculator notation, r, stands for what?
Correlation Coefficient
Solve: (x/3) - 5 = -6
x = -3
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
Given the following x: 8, 9.5, 10, 6, 7, 4
y: 120, 138, 147, 88, 108, 62
What is the equation of the line of best fit?
What is y = 14.1x + 5.8
Solve: 7(5a - 4) = 15
a = 47/35
What is the IQR of the set 69 71 90 100 75?
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%
Which situation does not describe a causal relationship?
1) The higher the volume on a radio, the louder the sound will be.
2) The faster a student types a research paper, the more pages the paper will have.
3) The shorter the distance driven, the less gasoline that will be used.
4) The slower the pace of a runner, the longer it will take the runner to finish the race.
The faster a student types a research paper, the more pages the paper will have.
Omar has apiece of rope. He ties a knot in the rope and measure s the new length of the rope after the knot.
Number of knots x: 4, 5, 6, 7, 8,
Length of Rope y: 64, 58, 49, 39, 31
What does the slope and y intercept represent in context of the problem?
The slope represents how much shorter the rope gets after each knot and the y intercept is the original length of the rope before any knots are tied.
Factor the Expression: 2x2 + 8x -10
2(x-1)(x+5)
Find the 25th percentile of the data 100 90 71 75 69
70
What percent of the values are contained within the Interquartile Range?
50%
The two sets of data below represent the number of runs scored by two different youth baseball teams over the course of a season. Team A: 4, 8, 5, 12, 3, 9, 5, 2 Team B: 5, 9, 11, 4, 6, 11, 2, 7 Which set of statements about the mean and standard deviation is true?
1) mean A < mean B standard deviation A > standard deviation B
2) mean A > mean B standard deviation A < standard deviation B
3) mean A < mean B standard deviation A < standard deviation B
4) mean A > mean B standard deviation A > standard deviation B
1) mean A < mean B standard deviation A > standard deviation B
The data given below shows the results of a study based on hight vs. weight
Weight x: 4.5, 4, 3.5, 5.5, 5, 5, 4
Height y: 41, 40, 35, 38, 43, 44, 37, 39
Write the equation for linear regression and state the correlation coefficient rounded to the nearest 10th.
y = 1.9x + 2938
r = 0.3
Factor Completly: 3y2 - 12y - 288
3(y - 12)(y+8)