How does $100 gift card affect the measure of center of the data?

Mathematics

1 answer:

Nataly [62]2 years ago

3 0

Answer:

It increases the mean value of the prizes

Step-by-step explanation:

If you order the numbers from the lowest to the highest, the median is the number placed in the middle of the ordered list. In this case, there are values repeated many times (there are 100 values, $1 is repeated 44 times and $5 is repeated 25 times, so $5 is the mean), then the presence of a high value with only one presence doesn't modify this median.

On the other hand, the mean is always affected but all data set, given that $100 is the highest value, the mean will increase.

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$4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
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It's the sum for term 4 through term 15.

$\boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}$