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#12 Apr 30 Standard Deviation

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1.

Find the Standard Deviation of the following data set: (round to the nearest whole number)

1, 3, 5, 5, 7, 9

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2.

Find the Standard Deviation of the following data set: (Round to the nearest whole number)

2, 5, 5, 8, 8, 11, 11, 14

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3.

Find the Standard Deviation of the following data set: (Round to nearest whole number)

3, 7, 7, 7, 9, 9, 13, 17

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4.

Coach Gabe recorded the number of points scored by two players over 6 games this season:

Gideon: {8, 10, 12, 12, 14, 16}

Luke: {4, 8, 12, 12, 16, 20}

Both players have the same mean score. Calculate the standard deviation for each player.

What is the standard deviation of Gideon's points? (Round answer to the nearest hundredths place)

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5.

Coach Gabe recorded the number of points scored by two players over 6 games this season:

Gideon: {8, 10, 12, 12, 14, 16}

Luke: {4, 8, 12, 12, 16, 20}

Both players have the same mean score. Calculate the standard deviation for each player.

What is the standard deviation of Luke's points? (Round answer to the nearest hundredths place)

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6.

If Coach Gabe was debating who to start and was looking for the most consistency, who would he pick?

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7.

Based on his standard deviation, how many points does Luke score roughly 68% of the time?(Example Answer: 10-15)

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8.

Mr. Lindner recorded the high temperatures (°F) in Houston for one week:

{78, 80, 82, 84, 86, 88, 90}

Find the standard deviation of the temperatures. Round to the nearest whole number.

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9.

Based on the standard deviation of temperatures in Houston, how many deviations from the mean is the temperature if tomorrow it will be 89 degrees?

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10.

What temperatures range 95% of the data? (Example Answer: 81-94)