We included HMH Into Math Grade 6 Answer Key PDF Module 15 Review to make students experts in learning maths.
HMH Into Math Grade 6 Module 15 Review Answer Key
Vocabulary
Choose the correct term from the Vocabulary box.
Vocabulary
measures of center
mean
median
mode
outlier
Question 1.
The ___________ is the number or numbers that occur most frequently in a set of data.
Answer: The Mode is the number or numbers that occur most frequently in a set of data.
Question 2.
The ___________ is the sum of the items in a data set divided by the number of items in the set.
Answer: The Mean is the sum of the items in a data set divided by the number of items in the set.
Question 3.
A value much greater or much less than the others in a data set is called an __________.
Answer: A value much greater or much less than the others in a data set is called an Outlier.
Question 4.
The middle number or mean of the two middle numbers in an ordered data set is called the ____________.
Answer: The middle number or mean of the two middle numbers in an ordered data set is called the Median.
Question 5.
The ___________ are used to describe the middle of data set.
Answer: The measures of center are used to describe the middle of the data set.
Concepts and Skills
Question 6.
Use Tools The table shows the weights of 8 boxes on a postal truck. If the weights of the items in the boxes were shared equally among the boxes, how much would a box weigh? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
The table shows the weights of 8 boxes on a postal truck.
Given data,
3, 7, 4, 10, 9, 5, 12, 8
There are 8 values in the data.
Mean = sum of observations/number of observations
Mean = (3+7+4+10+9+5+12+8)/8 = 58/8 = 7.25
For Problems 7-9, use the following information.
A city bus driver counts the number of passengers that board the bus at each bus stop. The table shows the numbers of passengers.
Question 7.
What is the median of the numbers of boarding passengers?
Answer:
Given data,
8, 10, 11, 8, 13
Arrange from least to the greatest
8, 8, 10, 11, 13
10 is the median of the number of boarding passengers.
Question 8.
What is the mode of the numbers of boarding passengers?
Answer:
Given data,
8, 10, 11, 8, 13
8 – 2 times
So, 8 is the mode of the number of boarding passengers.
Question 9.
What is the mean number of passengers that board per stop?
Answer:
Given data,
8, 10, 11, 8, 13
Mean = sum of observations/number of observations
Mean = (8+8+10+11+13)5 = 50/5 = 10
10 is the mean number of passengers that board per stop.
Question 10.
George works with his dad in a yard to help get it ready for a new patio. The times, in minutes, he works each day are listed:
45, 58, 34, 65, 30, 46, 51
What is the mean of the times George worked in the yard?
Answer:
Given data,
45, 58, 34, 65, 30, 46, 51
Mean = sum of observations/number of observations
Mean = (45+58+34+65+30+46+51)/7 = 329/7 = 47
47 is the mean of the times George worked in the yard.
For Problems 11-13, use the following information.
For a beach trip, D’Marion spends $9 on sunscreen, $18 on beach towels, $22 on food, $9 on a first aid kit, and $11 on sand toys.
Question 11.
Which measure of center is represented by $9?
(A) mean
(B) median
(C) mode
(D) outlier
Answer: mode
The measure of center is represented by $9 is mode because it is repeated two times
Option C is the correct answer.
Question 12.
Which measure of center will help D’Marion determine the average cost of the types of items he bought?
(A) mean
(B) median
(C) mode
(D) outlier
Answer: (B) median
Median will help D’Marion determine the average cost of the types of items he bought.
Option B is the correct answer.
Question 13.
What is the median cost of the different types of items that D’Marion purchased?
Answer:
Given data,
D’Marion spends $9 on sunscreen, $18 on beach towels, $22 on food, $9 on a first aid kit, and $11 on sand toys
9, 18, 22, 9, 11
Arrange from least to the greatest
9, 9, 11, 18, 22
11 is the median cost of the different types of items that D’Marion purchased.
For Problems 14-17, use the dot plot shown.
Question 14.
What is the mode of the data?
Answer:
Given data,
15, 15, 16, 17, 17, 18, 18, 18, 20, 20.
15 – 2 times
17 – 2 times
20 – times
18 – 3 times
18 is the mode of the data.
Question 15.
What is the median of the data?
Answer:
Given data,
15, 15, 16, 17, 17, 18, 18, 18, 20, 20.
There are 10 values in the data.
Median = (17 + 18)/2 = 17.5
Thus the median of the data is 17.5
Question 16.
What is the mean of the data?
Answer:
Given data,
15, 15, 16, 17, 17, 18, 18, 18, 20, 20.
There are 10 values in the data.
Mean = sum of observations/number of observations
Mean = (15+15+16+17+17+18+18+18+20+20)/10
Mean = 174/10 = 17.4
So, the mean of the data is 17.4
Question 17.
Suppose one more data point is added to the dot plot at 19. Which statement best describes how this would change the measures of center?
(A) The measures of center would be unchanged by the addition of the data point at 19.
(B) The only measure of center that would change is the mean, which would increase.
(C) The median is the only measure that would change.
(D) The mean and median would both increase.
Answer: (A) The measures of center would be unchanged by the addition of the data point at 19.