Order of Operations
The correct solution for the following expression.
(4 + 5) - 2^2
What is 5?
9 - 4 = 5
In the data below, find the Median and the Mean. Are they the same?
3, 5, 6, 10
What is "No, the Median is 5.5 and the Mean is 6?
Median=middle number - 5.5 is between 5 and 6.
Mean = 5+3+6+10=24, 24 divided by 4 = 6.
Find the value of n in the following expression
5n=50
What is n=10?
Solution:
5 times what number = 50?
Or divide each side by 5 to make n by itself and 50/5 = 10.
Is the following question Statistical or Non-Statistical?
How do 6th graders like to spend their time?
What is Statistical?
Solution: You'd have a variety of answers, that's what makes this question statistical.
If 2 bottles of soda cost $2.00, how much does each soda cost?
What is $1.00 each?
Which solution is correct?
A. 5(10) + 20 divided by 4 = 17.5
B. 5(10) + 20 divided by 4 = 55
What is B?
B. 50 + 5 = 55
If they picked A...they did 50 +20 = 70, 70 divided by 4 = 17.5 (incorrect order).
What is the 5 Number Summary for the following data?
3, 5, 6, 10
What is...
Min. is 3 and Max. is 10
Median is 5.5
Quartile 1 = 4
Quartile 3 = 8
What is an equivalent value for...
3(10 + 5)
What is 45?
Solution:
30 + 15 = 45 (using distributive property 3 x 10 + 3 x 15) =
or 3(15) = 45 (using order of operations)
Statistical or Non Statistical?
Do dogs run faster than cats?
What is Non Statistical?
How many boys are in the class if the total number of students is 40 and the ratio is 3 girls to 1 boy?
What is 10 boys?
Solution:
1 boy:3 girls, multiply each by 10 and you get 10 boys and 30 girls.
Solve:
2^4 + 5(12) - 75
What is 1?
2^4 + 60 - 75
16 + 60 - 75
76 - 75 = 1
What is the mean of the following data?
70, 75, 90, and 99?
What is 83.5?
Add the 4 values = 334 and divide that by 4 which equals 83.5.
If x = 7, what is the value of 5x - 2x?
What is 21?
5(7) - 2(7) = 35 - 14
35 - 14 = 21
What does a 5 Number Summary include?
If you rode your bike for 3 hours and traveled 24 miles, what was your rate of speed?
What is 8 miles/hour?
24 miles/3 hours = 8 miles/hour.
Solve:
25/5 + (5-2) x 10
What is 35?
25/5 + 3 x 10
5 + 3 x 10
5 + 30 = 35
Are the Mean and the Median the same in the following data?
7, 4, 8, 5
What is Yes, the Mean and the Median are both 6.
4, 5, 7, 8
Median is 6 (in between 5 and 7)
Mean is 4 values added (24) divided by number of values (24/4 = 6).
What is the value of x if 20x - 30 = 150
What is 9?
Solution:
20(9) - 30 = 150
180-30 = 150
Explain how you find the Mean Absolute Deviation.
You find the mean and create a dot plot. Calculate how far each data point is from your mean. Add the values of how far the data points are to your mean and divide by the number of data values.
You went for a bike ride and rode at a rate of 10 miles/hour for 2.5 hours, how many miles did you travel?
What is 25 miles?
10 miles/hour x 2.5 hours = 25 miles
(1st hour = 10 miles, 2nd hour = 10 miles, .5 hour = 5 miles = a total of 25 miles).
30 + 12 divided by 3(4) - 10
What is 36?
30 + 4(4) - 10
30 + 16 -10
46 -10 = 36
What figures are incorrect using the following data?
15, 3, 9, 12, 22
Mean = 12.2
Min. 3, Q1 = 6, Median 9, Q3= 17, Max. 22
What is the Median = 12 and the Q3 = 17.5
If x=4 and y=6
What is the value of the expression
3x + 5 + 8y
What is 65?
Solution:
3(4) + 5 + 8(6)
12 + 5 + 48 = 65
Which measure of center is better, the mean or the median? Why?
What is the mean?
It's better because it is calculated with ALL of your data values instead of just finding the middle number of your data.
You ride 18 miles and travel at a rate of 12 miles/hour. How long did this take you?
What is 1.5 hours?
18 miles/12 miles per hour = 1.5 hours