3 years ago

What is the median of the following data values? 108,102,43,100,22

Mathematics

2 answers:

DIA [1.3K]3 years ago

8 0

The median is <u>100.</u>

<h3>EXPLANATION</h3>

To find the median, we need to order the numbers from smallest to largest, and then select the middle number, giving us:

22, 43, <u>100</u>, 102, 108

<h3 />

PolarNik [594]3 years ago

6 0

<u>Answer:</u> 100

<u>Reasoning:</u> The median is the "middle value" and to find it put the numbers in order from least to greatest.

22, 43, 100, 102, 108.

now take a number from both sides

43, 100, 102

Once again.

100

So 100 is the median.

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Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2