Draw a picture to show how to find 12+37
1 answer:
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Susannah's data are illustration of measure of central tendencies
<u>(a) The mean</u>
To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.
The total is:
The number of days is:
So, the mean is:
Hence, the mean number of turkey sandwiches sold is 99.4
<u>(b) The median</u>
To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.
In ascending order, we have: 73, 85, 88, 88, 99, 129, 134
The middle item is 88
So:
Hence, the median number of turkey sandwiches sold is 88
<u>(c) The mode</u>
This is the data that occurs most.
From the dataset, 88 appears twice (more than others).
So:
Hence, the mode number of turkey sandwiches sold is 88
<u>(d) The range</u>
This is the difference between the highest and least data
From the dataset,
The highest is 134, and the least is 73
So:
Hence, the range of turkey sandwiches sold is 61
The measure that would be most helpful is the median, because it is not affected by outliers.
Read more about measures of central tendencies at:
Answer:
A quadratic function.
Step-by-step explanation:
If you plot the points given in the table, you obtain the graph shown in the figure attached.
As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.
By definition, the parent function of a quadratic function is:
You can compress or stretch it in the y-direction by multiplying the function by a constant :
If , then the function is compressed.
If , then the function is stretched.
You can find the constant of the function asked as following:
- Substitute x=1 into the parent function to obtain the y-coordinate:
Then the point is (1,1)
- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:
Then the function is:
