Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name:
This data set gives pulse rates, in beats per minute, for a group of 30 students.
68
60
76
68
64
80
72
76
92
68
56
72
68
60
84
72
56
88
76
80
68
80
84
64
80
72
64
68
76
72
1) Make a dot plot of the data
2) Make a histogram using the intervals given
Intervals
frequency
56-60
64-68
72-76
80-84
88-92
3) Show work for IQR, range, mean and mean absolute deviation.
Find: Q2 = _________
Min = _________
Range = _________
Outliers = _________
4) Make a Box Plot
Q1 = _________
Q3 = _________
IQR= _________
Max = _________
Mode = _________
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Use the data: 8
12
13
15
15
Name:
20
5) Show work for IQR, range, mean and mean absolute deviation. Round to tenths.
Find: Q2 = _________
Q1 = _________
Q3 = _________
Max = _____
Range = _________
X = _________
Outliers = _________
Mean Absolute Deviation = _________
Mode = _________
Min = _____
IQR = _________
6) Make a Box Plot
Use the data:
22
35
37
38
41
42
44
7) Show work for IQR, range, mean and mean absolute deviation. Round to tenths.
Find: Q2 = _________
Q1 = _________
Q3 = _________
Max = _____
Range = _________
X = _________
Outliers = _________
Mean Absolute Deviation = _________
Mode = _________
Min = _____
IQR = _________
8) Make a Box Plot
Suppose the median for a set of data is 15 and IQR = 6.
9) What range of values does Q1 lie in?
10) What range of values does Q3 lie in?
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name:
For each of the following, tell whether the distribution is symmetrical, positively skewed, or
negatively skewed.
11) the weights of football players compared to other men.
12) the heights of jockeys compared to other people.
13) the monthly average temperatures in Atlanta over the course of one year.
Describe the mode of each histogram.
14)
15)
Describe the mean, median, and skewness of each histogram.
16)
17)
18)
Tammy is trying to find a good nursing home for her grandmother. The age of the residents is
an important factor, so Tammy determined the median age and IQR for two homes under
consideration.
Median
IQR
Shady
Rest Home
75
6
Pebblebrook
70
9
19) If both homes have the same Q3, what range of values include
all possible Q3 ages of residents for both homes?
20) If both homes have the same Q1, what range of values include
all possible Q1 ages of residents?
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name:
21) How many students are in Ms. A’s class?
22) How many students are in the school?
23) Find the Q2 of each. Which was higher?
24) Find the Q1 of each. Which was higher?
25) Find the Q3 of each. Which was higher?
26) Find the mean of each histogram. Which
was higher?
27) How many are in each group?
28) Find the Q2 of each.
29) Find the Q1 of each.
30) Find the Q3 of each.
31) Find the mean of each.
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name:
The following box plots show the test scores for boys and girls on the same assessment.
Girls' scores
Boy's scores
x
5
10
15
20
32) Find the median of each group. Which had the higher median and by how much?
33) Find the range of each group. Which group was overall less consistent in their grades?
34) Find the IQR of each group. So which group showed more consistency for the middle 50% of
scores?
Sasha and Barbara have played against each other in 5 games of basketball. The number of
points scored by each girl is listed.
Game
Sasha’s
Points
Barbara’s
Points
1
15
18
2
9
12
3
15
9
4
5
9
5
12
12
35) What is the difference of their medians?
36) What is the difference of their interquartile ranges?
37) What is the difference of their means?
Mike and his sister, Chrissy, competed for the most number of consecutive jumps with a jump
rope. The winner had to have the highest average on 4 tries.
Mike
2
12
22
56
Chrissy
7
9
32
44
38) Find the mean for each. Who had the greatest mean?
39) Find the mean absolute deviation for each. Who had the least mean absolute deviation and what
was the difference?
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name:
40) There are 6 residents living on a hall at Pebblebrook. If Tammy’s grandmother moves in, the
mean age on that hall will be 75 years with a mean absolute deviation of 3 years. How old is
Tammy’s grandmother if the other 5 residents are 75, 81, 77, 69, and 72?
Which is better? Fill in each blank with high or low.
Central Tendency
41) Test Scores
____________
42) Your golf scores
____________
43) Your opponent’s golf scores
____________
Variability
___________
___________
___________
Classify each type of study as observational or experimental.
44) Mr. Turner has two Math 2 classes. With one class, he lectured and the students took notes. In the
other class, the students worked in small groups to solve math problems. After the first test, he compared
the test grades of each class.
45) Mr. Turner noticed that some students took notes in class while others just listened without taking
notes. After the first test, he compared the test grades of the two types of students.
Key:
1)
2)
3) 72, 68, 80, 92, 56, 36, 12, 68, none
4)
56
60
64
68
72
76
80
84
88
92
5) 14, 12, 15, 20, 8, 12, 13.8, 15, 3, 20, 2.8
6)
7) 38, 35, 42, 44, 22, 22, 37, NONE, 7, 22, 4.9
8)
9) 9  Q1  15 10) 15  Q3  21 11) negatively
12) positively
13) symmetrical
14) bimodal
15) multimodal
16) Positively skewed median<mean
17) negatively skewed mean<median 18) symmetrical mean=median 19) 75 – 79 20) 69 – 70
21) 24 22) 160 23) A: 600-700 S:600-700 same
24) A: 600-700 S: 500-600 A
25) A: 700-800 S: 600-700 A 26) A: 679.2 S: 612.5 A
27) A 16 B 20 C 18
28) A 4-5 B 1-2 C 2-3 29) A 2-3 B 0-1 C 2-3 30) A 5-6 B 3-4 C 3-4
31) A 3.9 B 2.3 C 3
32) G: 13 B: 11 Girls higher by 2
33) G: 16 B: 15 Girls were less consistent
34) G:3 B: 4 Girls were more consistent in the middle 50% 35) S:12 B: 12; 0 36) S: 8 B: 6; 2
37) S: 11.2 B:12; .8
38) both 23; neither
39) M: 16.5 C: 15 Chrissy by 1.5 jumps
40) 76
41) high; low
42) low; low
43) high; low
45) experimental
46) observational
Honors Coordinate Alg/Geom Unit 4 Task 1 Review
Name: