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Romashka [77]
3 years ago
12

Consider the data set on the number line. Determine the mean absolute deviation. Round to the nearest tenth.

Mathematics
1 answer:
gregori [183]3 years ago
8 0

Answer:

7.1

Step-by-step explanation:

First add up all the numbers and divide by amount of numbers

Then subtract the average from all the numbers  and add them up again

and then divide by amount of numbers

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Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
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4 years ago
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Answer:

1 \frac{1}{5} centimeters

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To solve this you must do \frac{3}{5} × 2.

This equals \frac{6}{5}, or 1 \frac{1}{5} cm.

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2. David practices the most hours of soccer.

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