Practice questions available in McGraw Hill Math Grade 6 Answer Key PDF Lesson 25.1 Measures of Central Tendency (Mean, Median, Range) will engage students and is a great way of informal assessment.
McGraw-Hill Math Grade 6 Answer Key Lesson 25.1 Measures of Central Tendency (Mean, Median, Range)
Exercise
CALCULATE
Question 1.
What is the range for this set of numbers?
1, 8, 14, 22, 13, 19
Answer:
Given data is 1, 8, 14, 22, 13, 19
lowest number = 1
highest number = 22
range = high – low
range = 22 – 21
So, the range of the number is 21
Question 2.
What is the average for this set of numbers?
2, 2, 3, 3, 4, 6, 6, 10
Answer:
Given data is 2, 2, 3, 3, 4, 6, 6, 10
lowest number = 2
highest number = 10
Range = 10 – 2 = 8
So, the range of the number is 8.
Question 3.
What is the mode of this set of numbers?
2, 5, 10, 15, 6, 5, 6, 2, 5
Answer:
Given data is 2, 5, 10, 15, 6, 5, 6, 2, 5
2 – 2 times
5 – 3 times
6 – 2 times
10 – 1 time
15 – 1 time
The number 5 is repeated 3 times.
So, the mode is 5.
Question 4.
What is the median for this set of numbers?
3, 7, 2, 8, 9, 4, 6
Answer:
Given data 3, 7, 2, 8, 9, 4, 6
Set the numbers in the ascending or descending order.
2, 3, 4, 6, 7, 8, 9
The Median is the middle number.
Here 6 is in the middle.
So, the median is 6.
Question 5.
What is the range for this set of numbers?
2, 4, 9, 34, 35, 42, 15, 14
Answer:
Given data is 2, 4, 9, 34, 35, 42, 15, 14
Low number = 2
Highest number = 42
Range = 42 – 2
Range = 40
So, the range of the numbers is 40.
Question 6.
What is the mean for this set of numbers?
10, 20, 30, 69, 79, 89, 3
Answer:
Given data is 10, 20, 30, 69, 79, 89, 3
Mean = sum of observations/number of observations
Mean = (10 + 20 + 30 + 69 + 79 + 89 + 3)/7
Mean = 42.8
So, the mean of the set of numbers is 42.8
Question 7.
George earns tips of $10 for Sunday, $15 for Monday, and $35 for Tuesday. What is the average of his tips for the three days?
Answer:
Given data,
George earns tips of $10 for Sunday, $15 for Monday, and $35 for Tuesday.
Average = (10 + 15 + 35)/3
Average = 60/3
Average = 20
Therefore the average of his tips for the three days is $20.
Question 8.
If a group of 20 students in a class has an average age of 13 years, what would happen to the average if a student who was 12 years old was replaced with a student who was 14 years old?
Answer:
The average age of 20 students is 13.
sum/20 = 13
sum = 13 × 20
sum = 260
average = (12 + 14)/2 = 13
If 12 years old was replaced with a student who was 14 years old
average = (14 + 14)/2 = 14
So, the average becomes 14.