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gregori [183]
3 years ago
7

Calculate the variance of the following set of data. 3, 33, 303, 233, 3, 73, 83, 63

Mathematics
2 answers:
andrew-mc [135]3 years ago
4 0

Answer:

12083.929

Step-by-step explanation:

First step: find the mean of the data.

mean = <u>3</u><u>+</u><u>3</u><u>3</u><u>+</u><u>3</u><u>0</u><u>3</u><u>+</u><u>2</u><u>3</u><u>3</u><u>+</u><u>3</u><u>+</u><u>7</u><u>3</u><u>+</u><u>8</u><u>3</u><u>+</u><u>6</u><u>3</u>

8

= <u>7</u><u>9</u><u>4</u>

8

= 99.25

Second step: Now we calculate each dog's difference from the Mean.

Example : 3–99.25=96.25

Answer: (-96.25)+(-66.25)+203.75+133.75+(-96.25)+(-26.25)+(-16.25)+(36.25)

Third step: To calculate the Variance, take each difference, square it, and then average the result.

s² = <u>(-96.25)</u><u>²</u><u>+(-66.25)</u><u>²</u><u>+203.75</u><u>²</u><u>+133.75</u><u>²</u><u>+(-96.25)</u><u>²</u><u>+(-26.25)</u><u>²</u><u>+(-16.25)</u><u>²</u><u>+(36.25)</u><u>²</u>

8–1

=<u> </u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>3</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>4</u><u>1</u><u>5</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>7</u><u>8</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>9</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>6</u><u>8</u><u>9</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>2</u><u>6</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u><u>+</u><u>1</u><u>3</u><u>1</u><u>4</u><u>.</u><u>0</u><u>6</u><u>3</u>

7

=<u> </u><u>8</u><u>4</u><u>5</u><u>8</u><u>7</u><u>.</u><u>5</u>

7

= 12083.929

Variance Formula:

<u> </u><u> </u>

Variance = s² =<u>Σ(</u><u>x</u><u>i−</u><u> </u><u>x</u><u> </u><u>)</u><u>²</u>

n−1

yawa3891 [41]3 years ago
4 0

Answer:

its 12084

Step-by-step explanation:

on my test

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