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Data Analysis And Sampling – Q’s And A’s
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Data Analysis And Sampling – Q’s And A’sIn a high school league, there were 256 touchdowns made last year. If 64
games were played, what is the mean, or the average, number of touchdowns
made per game ✔️Ans - 4
Sasha wants to know her average grade on her math tests. She earned a score
of 70 on two tests, an 80 on one test, and a 90 on two tests. What is Sasha's
mean score? ✔️Ans - 80
Brian has 5 marbles, Sarah has 9 marbles, Jimi has 4 marbles, and Juan has 6
marbles. They want to redistribute the marbles so that each person has the
same number of marbles. If the marbles are redistributed, then how many
should each person get? ✔️Ans - Each person should get 6 marbles
Steven received scores of 70, 95, and 80 on his last three math tests. He needs
a mean test score of 80 to qualify for the math team. How many points does he
need on his last test to qualify for the team? ✔️Ans - - Steven needs 320
total points to have a mean score of 80.
- Steven has 245 points so far.
- Steven needs to score at least 75 points on his last test to qualify for the
team.
Dwight has 3 baseball cards, and Ellis has 9 baseball cards. If Dwight and Ellis
put their baseball cards together and then divide them up equally, how many
will each one of them have? ✔️Ans - 6
The table below shows the deliveries for Floral World for the week. What is
the mean, or average, number of deliveries per day? ✔️Ans - A. 16
The students in the cooking club brought sugar to class. They each brought 3,
4, 5, 3, and 5 cups of sugar, respectively. They divided the sugar evenly so that
each student received the same number of cups of sugar. How many cups of
sugar did each student get? ✔️Ans - 4
Monica bowled three games. Her scores were 175, 142, and 133. What was
her mean, or average, score? ✔️Ans - 150
,Four students found the mean of the data set 26, 31, 39, 30, 16, 16, 18, 38.
Which student found the correct mean? ✔️Ans - Ashrita's work
Maria scored 72, 97, and 82 on her first three math tests. She wants to have a
mean score of 82 for the quarter. How many points does she need on her last
test to earn an 82 for the quarter? ✔️Ans - 77
The table shows the attendance at the art show for the past week.
What does the attendance need to be on Saturday to have an average
attendance for the week of 30 people per day? ✔️Ans - 50
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven
months. He followed the steps below to determine the number of cars he
needs to sell in the next month to have a mean number of sales per month of
24. ✔️Ans - Step 1
Asa received scores of 72, 97, and 82 on her last three math tests. She needs a
mean test score of 82 to qualify for the math team. What is the first step in
determining how many points she needs on her next test to qualify for the
team? ✔️Ans - Determine how many total points are needed to have an
average of 82.
What is the mean of the data set?
17, 24, 26, 13 ✔️Ans - 20
Relatives gave Timothy $15, $50, $25, and $18 for his birthday. What is the
mean amount of money relatives gave Timothy for his birthday? ✔️Ans -
The mean amount of money relatives gave Timothy was $27
Which statements are true about the median? Check all that apply. ✔️Ans -
- Put the values in numerical order before trying to find the median.
- The median is the number in the middle of an ordered set of values.
- The median must be calculated by finding the mean of the two middle points
when there is an even number of data points.
Find the median of each set of data.
- 12, 8, 6, 4, 10, 1
- 6, 3, 5, 11, 2, 9, 5, 0
- 30, 16, 49, 25 ✔️Ans - - 7
, -5
- 27.5
Derrick needs to figure out how he's doing on his test scores so far this year.
You can help by calculating the mean and the median to get an overall picture
of his scores. Below are all of his scores:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100 ✔️Ans - What is Derrick's mean test
score so far? 74.4
What is Derrick's median test score so far? 81.5
Which gives a better picture of his scores? median
Journalists try to use shorter or simpler words in their news stories whenever
possible. The box below shows the number of letters in each word taken from
one sentence in a news article. What are the mean and median number of
letters per word? What is the outlier? ✔️Ans - The mean number of letters
per word = 5
The median number of letters per word = 4.5
The outlier = There is no outlier
Zahra was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 15, 19, 22, 26, 29
Data with an outlier: 15, 19, 22, 26, 29, 81
How is the median affected by the outlier? ✔️Ans - The outlier slightly
affected the median.
Which set of data contains two outliers? ✔️Ans - 101, 135, 131, 99, 138,
136, 140
Deepali was given two data sets, one without an outlier and one with an
outlier.
Data without an outlier: 15, 19, 22, 26, 29
Data with an outlier: 15, 19, 22, 26, 29, 81
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