1. 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.)

2. 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum

3. 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum

4. 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum RANGE = 14 – 3 = 11

5. 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum RANGE = 14 – 3 = 11

6. 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum

7. 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 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 between the largest and smallest data values in the set. RANGE = Maximum - Minimum

8. 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 ScoreFrequency 715 721 755 796 812 821

9. 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.) ScoreFrequency 715 721 755 796 812 821 79 81 82

10. 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.) ScoreFrequency 715 721 755 796 812 821 79 81 82 To find the mean and standard deviation, put values into the calculator.

11. 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.) ScoreFrequency 715 721 755 796 812 821 79 81 82 To find the mean and standard deviation, put values into the calculator.

12. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48

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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 To find the mean and standard deviation, put values into the calculator.

14. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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

15. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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

16. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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

17. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49): To determine the number of standard deviations 10.2 represents, just divide 10.2 by the standard deviation (5.98).

18. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49):

19. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49): To express this in standard deviations, divide 3 by the standard deviation (1.773)

20. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49): To express this in standard deviations, divide 3 by the standard deviation (1.773)

21. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49): To express this in standard deviations, divide 3 by the standard deviation (1.773)

22. 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.) FamilyIncome A50 B46 C50 D49 E48 F49 G52 H48 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 Find how far Family B’s income (46) is from the mean (49): To express this in standard deviations, divide 3 by the standard deviation (1.773) B’s income is 1.692 standard deviations from the mean.