<u>Answer:</u>
• Equation =
• length = 56 ft
• width = 32 ft
<u>Step-by-step explanation:</u>
The ratio of the length to width is 7:4.
∴
⇒ [Equation 1]
We know that the perimeter of the garden is 176 feet.
∴
⇒
⇒ [From Equation 1]
⇒
⇒
⇒
⇒
We know from Equation 1 that:
∴
⇒
The measures of central tendency for this data set are as follows:
In Mathematics, there are three (3) main measures of central tendency and these include the following:
For the mean, we have:
Mathematically, the mean for this data set would be calculated by using this formula:
Mean = [F(x)]/n
For the total number of data, we have:
F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7
F(x) = 71
Substituting the parameters into the formula, we have:
Mean = [F(x)]/n
Mean = 71/20
Mean = 3.55.
For the median, we have:
First of all, we would order the data from lowest to highest and then determine the median as follows:
Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}
Median = {3 + 4}/2
Median = 7/2
Median = 3.5.
<h3>How to calculate the mode?</h3>A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.
In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.
Read more on mean here: brainly.com/question/9550536
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