All Statistical
Which is an example of a statistical question?
A. What is your favorite color?
B. How many trophies does each person on my soccer team have?
C. How many laps do you need on the track to run 1 mile?
D. What is the record for the fastest mile?
What is B. How many trophies does each person on my soccer team have?
Sssstatistical questions get lotsssss of answers (varied data)
Look at graph A on the side board (histogram).
How can you describe the data distribution?
A. skewed left
B. symmetrical
C. uniform
D. skewed right
What is B. symmetrical
10, 1, 4, 5, 6, 7, 8, 2, 0, 3, 9
What is the Median?
What is 5
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
What is a lower extreme and an upper extreme?
*another word to describe them/another name for them*
What is:
lower extreme- smallest data piece, minimum, etc.
upper extreme- biggest data piece, maximum, etc.
Which set of data has the SMALLEST range?
A. 15, 25, 7, 80
B. 2, 6, 6, 29
C. 100, 97, 45, 90
D. 0, 3, 7, 2, 2
What is D. The range is from 0 to 7= 7
a. 7 to 80 = 73
b. 2 to 29 = 27
c. 45 to 100 = 55
Look at graph C (box plot) on the side board.
Which statement is TRUE?
A. 25%, or 1/4 of the students, score an 85% or higher
B. half the students scored an 85 exactly
C. the IQR, interquartile range, is 20 points
D. the average (mean) score was a 55
What is C. the IQR, interquartile range, is 20 points
the range IN the box is from 75 to 95, which =20.
a: 25% scored a 95% or higher
b: half the students scored an 85 and higher, or an 85 or less, since 85 is the median
d: the lower extreme, or minimum, was 50. since we don't know allllll the values in a box plot, we don't know the mean
Look at graph B (dot plot) on the side board.
Which statement is NOT TRUE?
A. there are a total of 20 students in the class
B. exactly 7 students read at least 10 books
C. the mode is 12
D. the data is skewed left
What is C. the mode is 12
there are 2 modes= 8 & 10
30+40+80+100+20+30+30
What is the range?
What is 80
100-20 =80
1+2+3+5+6+2+5
What is the upper extreme?
What is 6?
the highest number, or maximum
2, 2, 0, 12, 6, 9, 19
Which of the following measures of central tendency (center) will give the highest number?
A. mean
B. median
C. mode
D. range
What is A. mean
mean= 50/2 = 25
median= 0, 2, 2, 6, 9, 12, 19
mode= 2
range= 0 to 19= 19
Look at graph C (box plot) on the side board.
Which statement is NOT TRUE?
A. the highest score on the test was a 100%
B. the median score was an 85%
C. 75% of the scores are between 75-95%
D. 25% of the scores are a 95% or more
C. 75% of the scores are between 75-95%
half, or 50% of the scores are between 75-95 since each section is 25%, and the IQR is half the data
Look at graph B (dot plot) on the side board.
What is the median amount of books read?
What is 8 books
each x is a person who read books. either start from the outside x and work your way to the center, or add up all the x (20) and divide by 2 to find the middle (10). the 10th person is the median
1+5+6+8+4+3+2+10+2+40+43+5
What is the mean?
What is 10.75
mean means average. Add them all up (=129) then divide by 12 since there are 12 numbers
5+6+3+2+8+9+5+5+2
What is the mode?
What is 5?
5 is the number repeated the most
2, 0, 2, 19, 12, 6, 9
If another 12 is added to this list, which measure is affected (changed) by the new number?
A. range
B. lower extreme
C. maximum
D. median
What is the D. median
median was 6, but when you add an extra 12, the median is 7.5
0, 2, 2, 6, 9, 12, 19
0, 2, 2, 6, 9, 12, 12, 19
a. range = 0 to 19 both times = 19
b. lower extreme= 0 both times
c. maximum= 19 both times
Look at graph A (histogram) on the side board.
Which statement is TRUE?
A. a total of 40 students are included in the data
B. half the students score a 71 or higher
C. 6 students score a 70 or below
D. there are exactly 6 students who scored a 95
What is B. half the students score a 71 or higher
a: there are 38 students, not 40
c: 6 students scored a 60 or below
d:we don't know what the 6 students in the last bar scored since it just says 91-100
Which number is always changed by an outlier?
A. mean
B. median
C. mode
D. nothing will change
What is A. mean
remember how an outlier will change your grade average
b. the median/middle will stay the middle
c. an outlier doesn't fit in with the rest of the data, so it won't be repeated more than once (mode)
d. your average will always change when you get a much higher score, or much lower score
With a box and whisker plot what do the whiskers symbolize?
What is the upper and lower extremes
(or minimum/maximum)
Find the missing number when given the mean:
mean = 90
100, 95, 80, ___
What is 85.
to find mean: add all, then divide by how many numbers
do the INVERSE to find the missing number: multiply by how many numbers, then subtract all
90x4 = 360
360 - 100 - 95- 80 = 85
Look at graph A (histogram) on the side board.
Which describes the data?
A. there are 6 people who scored exactly a 50
B. the median, mode and mean are all 71-80
C. 6 students scored between a 61-70
D. 1/4 of the students scored a 91 or above
What is B. the median, mode and mean are all 71-80 since it is a perfectly symmetrical graph, those measures will all be in the center.
a: we don't know exactly what those 6 people scored since it is a range between 50-60
c: 8 people scored between a 61-70
d: there are 38 people. 38 divided by 4 = 9.5 people. only 6 scored a 91 or above
A data set consists of the numbers : 3, 3, 4, 7, and 11
Which statement is true for this data?
A. mean = mode
B. median < mode
C. mean > median
What is C. mean > median
mean = 28/5 = 5.6
median= 4
mode = 3
20+30+80+40+100+30+30
What is the lower quartile/lower median/Q1?
What is 30
20, 30, 30, 30, 40, 80, 100
find the median= 30
the lower quartile is the median of the lower numbers: 20, 30, 30,