Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set.
Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain.
Find the mean and median of the data set using a calculator or similar data analysis technology.
2.53 1.33 0.64 2.55 0.67 0.57 1.61 0.69 2.06 1.84
2.01 2.74 1.98 0.99 1.01 2.59 1.52 1.41 1.53 0.92
0.14 1.15 0.01 2.02 0.81 1.48 0.08 1.16 0.74 0.24
1.77 2.74 0.35 0.65 2.77 1.04 0.01 2.31 1.62 2.91
2.77 2.41 1.45 2.06 2.66 1.73 1.58 0.82 2.03 1.78
Find the mean and median of the data set using a calculator or similar data analysis technology.
2.53 1.33 0.64 2.55 0.67 0.57 1.61 0.69 2.06 1.84
2.01 2.74 1.98 0.99 1.01 2.59 1.52 1.41 1.53 0.92
0.14 1.15 0.01 2.02 0.81 1.48 0.08 1.16 0.74 0.24
1.77 2.74 0.35 0.65 2.77 1.04 0.01 2.31 1.62 2.91
2.77 2.41 1.45 2.06 2.66 1.73 1.58 0.82 2.03 1.78
2 answers:
Answer:
Step-by-step explanation:
When sorted, your data are:
0.01, 0.01, 0.08, 0.14, 0.24, 0.35, 0.57, 0.64, 0.65, 0.67, 0.69, 0.74, 0.81
0.82, 0.92, 0.99, 1.01, 1.04, 1.15, 1.16, 1.33, 1.41, 1.45, 1.48, 1.52
1.53, 1.58, 1.61, 1.62, 1.73, 1.77, 1.78, 1.84, 1.98, 2.01, 2.02, 2.03, 2.06
2.06, 2.31, 2.41, 2.53, 2.55, 2.59, 2.66, 2.74, 2.74, 2.77, 2.77, 2.91
I entered the data into a statistical and box plot generator.
The results were:
mean = 1.49
Median = 1.52
Q1 = 0.81
Q2 = 1.525
Q3 = 2.06
IQR = 1.25
One test for an outlier is if the value is greater than the upper fence: Q3 + 1.5IQR.
The box-and-whisker plot shows that a value of 7.0 is well above the upper fence (in red).
You might be interested in
Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
Let me know if you have any questions!