Mean/Median
Shawn kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Shawn ran each of the five weeks?
A) 18, 20, 20, 22, 25
B) 20, 20, 20, 25, 25
C) 16, 19, 21, 22, 22
D) 20, 20, 21, 22, 22
A) 18, 20, 20, 22, 25
Which of the following is NOT true about the box plot below?
[Insert Picture]
A) The range is 15 hot dogs.
B) The median is 7 hot dogs.
C) The minimum is 5 hot dogs.
D) The IQR (interquartile range) is 10 hot dogs.
C) The minimum is 5 hot dogs.
The median number of points scored by 9 players in a basketball game is 12. The range of the number of points scored by the same basketball players in the same game is 7. Which statement is true based on the given information? A) At least one player scored 12 points.
B) The greatest number of points scored is less than 19 points.
C) The mean number of points scored is greater than 12 points.
D) If the greatest number of points scored is 16, then the least number of points scored is 4.
A) At least one player scored 12 points.
Use the graph below to answer both questions.
Cosmic, Inc. is a software company with 30 employees. The ages of the employees are displayed in the histogram.
1. How old is the youngest employee?
A) 10
B) 15
C) 19
D) Cannot be determined
[Insert Picture]
2. How many employees are older than 39 years of age?
A) 11
B) 6
C) 5
D) 4
1: D) Cannot be determined
2: C) 5
Which questions are statistical questions? Select each correct answer.
A. How tall is Ms. Kramer?
B. How many movies did Mr. Bhatia see during Spring Break?
C. How many students ride the bus to school each day?
D. How many points did LeBron score in last night’s game?
E. How many siblings does each student at your school have?
C. How many students ride the bus to school each day?
E. How many siblings does each student at your school have?
Jonathan played in 7 basketball games. In each game he scored a different amount of points. The median amount of points was 14 points. Which of the following is true?
A) In less than half of the games he scored 14 points or more.
B) In more than half the games he scored 14 points or more.
C) In exactly half the games he scored 14 points or more.
D) He scored 14 points or more in all of his games.
C) In exactly half the games he scored 14 points or more.
Find the range of the data in the box plot below.
A) 5.5 kg
B) 5 kg
C) 2.5 kg
D) 2 kg
[Insert Picture]
A) 5.5 kg
Deb recorded the number of cups of water she drank each day for 7 days. The median daily number of cups of water she drank was 6. The range of the number of cups of water she drank was 4. Which statement can be made from the given information?
A) At least one day, she drank exactly 6 cups of water.
B) The least amount of water she drank could have been 1 cup.
C) The mean daily number of cups of water she drank is greater than the median daily number of cups of water.
D) If the least amount of water she drank was 3 cups, then the greatest amount of water she drank was 9 cups.
A) At least one day, she drank exactly 6 cups of water.
If the mean of the data set is 6 coins, how many coins did Julia find? Fill in the blank below.
[Insert Picture]
Julia found _________________ gold coins.
5
Decide if each question is Categorical or Numerical data.
“What are the math grades of students in the 6th grade?” ____________________
“What is your favorite subject in school?” ____________________
“What genres of music do the students in Stanford listen to?” _____________________
Numerical
Categorical
Categorical
The data set below shows the amounts of money made by five students from a car wash.
Student Keziah Lynn Jada Tiana Makenzie
Amount of $ Raised $20 $88 $90 $92 $85
Determine the median and the mean of the data set:
Median: 88
Mean: 75
You need to decide which of two brands of chocolate chip cookies to buy. You really love chocolate chip cookies. The numbers of chocolate chips in each of five cookies from the two brands (ChocFull and AllChoc) is shown in the table below.
Cookie ChocFull AllChoc
1 17 22
2 19 15
3 18 14
4 18 21
5 18 18
Draw a dot plot for each set of data that shows the distribution of the number of chips for that brand.
*Check Dot Plot*
The managers of 21 supermarkets counted the number of cars in their parking lots at noon on the same day. The results are shown in the list.
98, 100, 101, 102, 108, 109, 111, 118, 129, 132, 133, 135, 135, 145, 146, 146, 156, 170, 176, 180, 180
What is the range range of the number of cars in the parking lots at noon at the 21 supermarkets?
Range: 82
Suppose that seven students have the following number of pets: 1, 1, 1, 2, 4, 4, 8.
The mean number of pets for these seven students is 3 pets. Use the following table to find the MAD for this distribution of number of pets.
[Insert Picture]
MAD = ____________________
2
Each student on a team had one bag of M&Ms. Each person counted the amount for each color before eating theirs. Which of the following is not a statistical question we could ask about a bag of M&Ms?
A) How many M&Ms were in each bag?
B) When looking at just the numbers of green M&Ms, how many green M&Ms were in each bag?
C) What percent of the M&Ms in Jonathan’s bag are green?
D) What is each person’s favorite color M&M?
C) What percent of the M&Ms in Jonathan’s bag are green?
James took 5 tests in science.
• Each test had a different score.
• The mean score of the tests was 90%
• The median score of the tests was 85%
Based on this information, select the two statements that must be true:
A) More than half of the scores were 85% or greater.
B) More than half of the scores were 90% or greater.
C) There were no scores less than 85%
D) There were no scores less than 90%
E) At least one score was exactly 85%
F) At least one score was exactly 90%
A) More than half of the scores were 85% or greater.
E) At least one score was exactly 85%
You need to decide which of two brands of chocolate chip cookies to buy. You really love chocolate chip cookies. The numbers of chocolate chips in each of five cookies from the two brands (ChocFull and AllChoc) is shown in the table below.
Cookie ChocFull AllChoc
1 17 22
2 19 15
3 18 14
4 18 21
5 18 18
Find the mean number of chocolate chips for each brand of cookies.
ChocFull ____________________ AllChoc ________________
Which brand would you choose? Why?
ChocFull: 18
All Choc: 18
Either because they have the same mean.
Use the data set below to answer.
21 30 39 43 52
The data set shows the number of minutes Nicholas practiced his trumpet on each of 5 days during a week. What is the mean number of number of minutes Nicholas practiced over these 5 days?
37
Find the mean absolute deviation (MAD) of the data in the dot plot below. (Round to the nearest tenths place)
[Insert Picture]
3.3 (repeating decimal)
Jasmine needs to collect data about how much television middle school students watch, so she comes up with the question: “How many hours of TV did you watch last night?”
Will the data from this question be numerical or categorical? How do you know?
Numerical, with a good explanation.
Ana played 4 rounds of golf and then played her lowest round of golf with a score of 80. The scores in the first 4 rounds and the lowest round are shown in the following dot plot.
[Insert Picture]
How did the lowest round affect the mean and median?
A) The median decreased and the mean increased.
B) The mean decreased, and the median increased.
C) Both the median and mean decreased, but the mean decreased by more than the median.
D) Both the median and mean decreased, but the median decreased by more than the mean.
Which of the following is not true about the dot plot below?
[Insert Picture]
A) The distribution has a peak at 41 years.
B) There is a cluster from 47-49 years.
C) There is a gap at 30-33 years.
D) The distribution has left skew.
D) The distribution has left skew.
On a scuba-diving trip, divers were asked to count the number of stingrays they saw over the course of the 40-minute dive.
The results were: 9, 5, 3, 8, 8, 6, 11, 9, 38, 7, 5.
Without calculating the mean and median, which measure of central tendency will best represent this data set? Why?
Median because there's an outlier.
The following table shows the number of classes that each teacher in the math department at Wilburton High School teaches. Find the mean absolute deviation (MAD) of the data set.
[See Picture]
1 1/2 or 1.5
Which of the following questions are statistical? Choose all that apply.
A) What is the distance between Madison, Wisconsin and Raleigh, North Carolina?
B) How much does a typical spider monkey weigh?
C) Does Miranda have a college degree?
D) What are the distances between the planets in our solar system?
Which of the following are non-statistical questions? Choose all that apply.
A) How many days are in March?
B) How old is your dog?
C) What proportion of the students at each school in town like watermelons?
D) Do you like watermelons?
E) How many bricks are in this wall?
F) What was the temperature at noon each day during February?
S -
D) What are the distances between the planets in our solar system?
NS -
A) How many days are in March?
B) How old is your dog?
D) Do you like watermelons?
E) How many bricks are in this wall?