Unit 1 Posttest Review
Name:
SHOW ALL WORK in the space provided. Circle your final answer. Take a picture of your completed review
worksheet and submit it online, then check out an answer key from Mrs. Campbell.
1) The dot plot depicts the English scores of a group of students. Which score has a frequency of 3?
2) What is the central tendencies- mean, median, and mode of this data set?
{3,13,7,5,21,23,39,28,40,26,14,12,56,25,29,31}
3) During summer vacation, Courtney’s family drove through seven different states.
The gasoline prices in the seven states were $1.96, $2.09, $1.79, $1.61, $1.75, $2.11, and $1.84. Find
the central tendencies- mean, median, and mode.
4) What does point A represent in this box plot?
5) If the data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a box plot, find the range
and interquartile range?
6) The histogram shows the number of vacation days taken by employees in the past year. Based on the
histogram, how many employees took between 20 – 25 vacation days?
7) What is the value of the third quartile of the data set represented by this box plot?
8) Draw a histogram that correctly represents the data in this frequency table. Describe the shape of the
histogram – positively skewed, symmetric, etc.
Number of Words Students Can Type in One Minute
Number of Words
Frequency
0-15
15-30
30-45
45-60
60-75
75+
5
10
8
9
6
2
9) Draw a box plot that represents a symmetrically distributed data set?
10) What is the first quartile of this data set?
{6, 47, 49, 15, 43, 41, 7, 36}
11) Which data set has a greater spread? Why?
A: {38, 12, 23, 48, 55, 16, 18}
B: {44, 13, 24, 12, 56}
12) What are the range and the interquartile range of the data represented by the box plot?
13) Find the central tendencies of the two data sets? Compare each measure of central tendency.
A: {7, 6, 3, 1, 6, 2, 4, 6, 3, 5}
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}
14) Draw a histogram that represents a negatively skewed set of data, positively skewed set of data, and
symmetric set of data. For each graph, approximate where your mean, median, and mode would be located.
15) Which data set has the greatest spread for the middle 50% of its data?
{19, 13, 22, 17, 21, 24}
{17, 19, 22, 26, 17, 14}
{13, 17, 12, 21, 18, 20}
{18, 21, 16, 22, 24, 15}
16) The data set gives the number of hours it took each of the 10 students in a cooking class to master a
particular technique. Which is the best measure of the central tendency of the data?
{3, 3, 4, 4, 4, 5, 5, 5, 5, 30}
17) Find the five-number summary (min, 1st quartile, median, 3rd quartile, and max) needed for a box plot of
this data? { 5, 6, 1, 27, 2, 7, 12, 15, 9, 18, 19}
18) Which histogram represents the data with the largest spread?
19) A comic-strip writer churns out a different number of comic strips each day. For 16 days, the writer logged
the number of comic strips written each day (sorted low to high): {1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6,
7}. What type of skew can be observed in this distribution?
20) What type of skew is observed in this histogram?
21) The number of defective bulbs a company produces varies with each batch. Based on the table, draw a
histogram of the data? What is the shape of the histogram – symmetric, left skewed, etc.?
Batch Size
100199
200299
300399
400499
500599
600699
700799
Number of Defective
Bulbs
5
6
7
6
5
5
5
22) Jeremy is a snowboarder. One of his best tricks is catching big air, jumping off the ramp while holding on
to the snowboard. Jeremy did this trick 20 times, the heights (in meters) of which were {18, 23, 15, 16, 15, 17,
22, 16, 19, 11, 24, 14, 12, 16, 20, 18, 14, 13, 21, 11}. Based on this data, what is the difference between the
median and the mean of Jeremy’s big air trick?
23) A car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram (from # 28) shows the
distribution of the numbers of cars he expects to sell over the next 10 years. What is the median of the car
price range?
24) What is the interval for 68% of a data set that follows a normal distribution with a standard deviation of 4
and a mean of 14?
25) If the weights of 1,000 adult men in a county are plotted on a histogram, the histogram is most likely to fit
what shape or curve?
26) What are the 68% and 95% intervals for a data set that follows a normal distribution with a standard
deviation of 2 and a mean of 12?
27) Alice has measured the hemoglobin levels of 200 people. If the data follows a normal distribution with a
mean of 10 and a standard deviation of 1, how many people have a hemoglobin less than 9?
28) Which phrase accurately describes a distribution that's bell-shaped but not symmetric?
29) The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24
beads and standard deviation is 4 beads. How many necklaces have more than 28 beads?
30) The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is
180 and the standard deviation is 30 pages, what percentage of books has less than 150 pages?