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MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range , mean and standard deviation. { 13, 14, 13, 5, 5, 12, 9, 3 } (Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

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Page 1: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

Page 2: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - Minimum

Page 3: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

RANGE = 14 – 3 = 11

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - Minimum

Page 4: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

To find the mean and standard deviation, put values into the calculator.

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - MinimumRANGE = 14 – 3 = 11

Page 5: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

Here are the KEYSTROKES for entering the data 13 14 13 5 12 9 3

To find the mean and standard deviation, put values into the calculator.

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - MinimumRANGE = 14 – 3 = 11

Page 6: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

RANGE = 14 – 3 = 11

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

For the mean, enter to get .

Here are the KEYSTROKES for entering the data 13 14 13 5 12 9 3

To find the mean and standard deviation, put values into the calculator.

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - Minimum

Page 7: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

RANGE = 14 – 3 = 11

Determine the range , mean and standard deviation.{ 13, 14, 13, 5, 5, 12, 9, 3 }

(Round the mean to 3 decimal places as needed and round the standard deviation to 2 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

For the mean, enter to get .

Here are the KEYSTROKES for entering the data 13 14 13 5 12 9 3

To find the mean and standard deviation, put values into the calculator.

The range of a data set is the difference betweenthe largest and smallest data values in the set.

RANGE = Maximum - Minimum

And for the standard deviation, enter to get .

Page 8: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

The table shows the scores of 20 people who took a paramedics licensing test.

Find the mean and standard deviation

for these data. (Round to 3 decimal places as needed.)

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Score Frequency

71 572 175 579 681 282 1

Page 9: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

Here are the KEYSTROKES for entering the data 71 72 75

To find the mean and standard deviation, put values into the calculator.

The table shows the scores of 20 people who took a paramedics licensing test.

Find the mean and standard deviation

for these data. (Round to 3 decimal places as needed.)

Score Frequency71 572 175 579 681 282 1

79 81 82

Page 10: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

Here are the KEYSTROKES for entering the data 71 72 75

The table shows the scores of 20 people who took a paramedics licensing test.

Find the mean and standard deviation

for these data. (Round to 3 decimal places as needed.)

Score Frequency71 572 175 579 681 282 1

79 81 82

For the mean, enter to get 76.

To find the mean and standard deviation, put values into the calculator.

Page 11: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

Here are the KEYSTROKES for entering the data 71 72 75

The table shows the scores of 20 people who took a paramedics licensing test.

Find the mean and standard deviation

for these data. (Round to 3 decimal places as needed.)

Score Frequency71 572 175 579 681 282 1

79 81 82

For the mean, enter to get 76.

For the standard deviation, enter to get .

To find the mean and standard deviation, put values into the calculator.

Page 12: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

Page 13: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Page 14: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

Page 15: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49.

Page 16: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Page 17: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):

Page 18: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):𝟒𝟗−𝟒𝟔=𝟑

Page 19: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):𝟒𝟗−𝟒𝟔=𝟑To express this in standard deviations, divide 3 by the standard deviation (1.773)

Page 20: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):𝟒𝟗−𝟒𝟔=𝟑To express this in standard deviations, divide 3 by the standard deviation (1.773)

Page 21: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):𝟒𝟗−𝟒𝟔=𝟑To express this in standard deviations, divide 3 by the standard deviation (1.773)

692

Page 22: MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises Determine the range, mean and standard deviation. { 13, 14, 13,

MATH 110 Sec 14-3 Lecture: Statistics-Measures of Variation/Dispersion Practice Exercises

The table gives the annual income for 8 families, in thousands of dollars.

How many standard deviations is family B’s income from the mean?

(Round to 3 decimal places as needed.)

Family IncomeA 50B 46C 50D 49E 48F 49G 52H 48

To find the mean and standard deviation, put values into the calculator.

Here are the KEYSTROKES for entering the data 50 46 50 49 48 72 49 52 48

For the mean, enter to get 49. For the standard deviation, enter

to get 773.

Find how far Family B’s income (46) is from the mean (49):𝟒𝟗−𝟒𝟔=𝟑To express this in standard deviations, divide 3 by the standard deviation (1.773)

692 B’s income is 1.692 standard deviations from the mean.