Grade Six Mathematics
Answers to last week’s exercise
Hello, students! Welcome to our weekly Mathematics Corner. I hope you all are doing fine! In this week’s session, we will be examining the concept of calculating the average of data sets, also known as the mean. Without any more delay, let’s get started!
Top of Form Average
Average
In mathematics, the average is a measure that represents the central tendency of a set of values. It is also known as the arithmetic mean.
The arithmetic mean is calculated by adding up all the values in a set and then dividing the sum by the number of values. The formula for the arithmetic mean (average) is:
Average= Sum of values Number of values
Here’s a step-by-step explanation of how to find the average:
Add up all the values: Sum all the numbers in the set.
Count the number of values: the set.
Determine how many numbers are in
Divide the sum by the number of values: Divide the sum obtained in step 1 by the number of values obtained in step 2.
Let’s examine two examples:
Example 1
Suppose you have the following set of numbers: 2, 4, 6, 8, 10.
Add up all the values: 2+4+6+8+10=30
Count the number of values: There are 5 values in the set.
Divide the sum by the number of values: Average = 30 ÷ 5 = 6. So, the average of the set {2, 4, 6, 8, 10} is 6.
Example 2
Suppose you have the following grades for a student in four different subjects:
85, 90, 78, and 92.
Step 1: Add up all the grades. 85+90+78+92 = 345
Step 2: Count the number of grades. There are 4 grades.
Step 3: Calculate the average. Average= 345 ÷ 4 = 86.25
So, the average grade for the student is 86.25.
Now, boys and girls, it’s your time to work!
Complete the exercises below:
Exercise 1
Calculate the mean of each data set. 9, 3, 6 15, 8, 10, 5, 7 4, 20, 16, 4 17, 8, 3, 12, 15, 5, 2, 0, 1 14, 12, 17, 9 18, 19, 11 12, 11, 12, 20, 15 10, 18, 8, 1, 3 3, 9, 5, 16, 7
Exercise 2
Directions:
Find the average for each problem below:
I kept track of all of my Science test scores this year. Calculate the average. Here are my test scores:
89, 90, 95, 72, 83, 100, 94
My average Science test score is: .............................
For each trip we take as a family, my dad records the mileage.
I found the average number of miles we drove. Here are the miles we drove:
345m, 279m, 583m, 404m, 556m, 702m, 631m
Our average miles were: ...............................................
Whenever I purchase new DVDs, I record the amount I paid. Calculate the average amount spent on my DVDs. Here are the prices:
$24, $20.99 $25.59 $26.90, $27.10, $22.36
Average price: ..............................................................
Our class recorded the daily temperatures in Fahrenheit for 8 days.
What was the average temperature? 78°F, 82°F, 84°F, 74°F, 98°F, 90°F, 80°F, 62°F
Shipping containers arrive by carrier and the weight data is collected.
Find the average weight, in pounds, for the following shipping containers
45 lbs ,824 lbs, 56 lbs, 187 lbs, 71 lbs, 291 lbs, 219 lbs, 331 lbs
That’s all for today. Thank you for being receptive.
Check back next week for the answers to this week’s questions.
Have a safe and productive week at school!
Boys and Girls.