Name _________________________
Common Core Algebra 9H - Histograms, dot plots & box plots
Date ___________
HW #93
1. What is the value of the third quartile shown on the box-and-whisker plot below?
2. The histogram below shows how many students received certain test scores.
a. What is the total number of student
scores represented in the table?
# of
students
b. What range of scores was typical?
c. What percent of people scored an
80 or higher?
Scores (%)
3. The box-and-whisker plot below represents the math test scores of 20 students. What percentage
of the test scores are less than 72?
4. A random sample of eighty viewers of a television show was selected. The dot plot below shows the
distribution of the ages (in years) of these eighty viewers.
a. Give an approximate age range for the typical viewer.
b. Does this dot plot represent a symmetric or a skewed data distribution? Explain your answer.
c. Can you think of a reason why the data presented by this graph provides important information?
Who might be interested in this data distribution?
5. The test grades of 12 students are shown below. Create a histogram using the provided axes. Label
you axes.
42, 50, 67, 94, 88, 82, 75, 59, 91, 90, 80, 88
Does this histogram represent a symmetric or a skewed data distribution? Explain your answer.
6. Each person in a random sample of ten ninth graders was asked two questions:
-How many hours did you spend watching TV last night?
-What is the total value of the coins you have with you today?
Here are the data for these ten students:
a. Construct a dot plot of the data on hours of TV.
b.
Would you describe this data distribution as approximately symmetric or as skewed?
c. If you wanted to describe a typical number of hours of TV for these ten students, would you use
the mean or the median? Calculate both.
7. Here is a dot plot of the data on total value of coins.
a. Calculate the values of the mean and the median for this data set.
b. Why are the values of the mean and the median that you calculated so different? Which one
would you use to describe a typical value of coins for these ten students?
Mixed Review:
1) Compare the following 3 functions:
Function f represented as a graph:
Function 𝑔 is represented by the following
equation: g(𝑥) = (𝑥 −6)2 −36
Linear function h represented in a table:
a. Evaluate the three functions given at f(0), g(0), and h(0). Identify which expression has the
largest value and which has the smallest value.
b.
Evaluate the average rate of change for the interval [2,4] for each function. Show your work.
2) Factor completely
a) 4x2 + 8x
3) Simplify:
b) 5x2 – 13x – 6
a. √50
c) 3x3 + 24x2 – 27x
b. √72
c. √45