Section 5.5 Part 1: Finding the Mean, Median, and Mode of a Set of Numbers

The number of units being taken by students in one class is 22, 30, 29, 31, 26, 24, 42, 28, 36, 31, 24, 25, 45, 43, 21, 23, 44, 43, 27, and 32. Identify the mode.(If there is more than one mode use a comma to separate each mode. If there is no mode, enter ∅ as your answer.)

31,24,43 List each number with its frequency. Number2122232425262728293031323642434445 Frequency11121111112111211 Now, look for the highest frequency. The highest frequency is2, which corresponds to the numbers 24, 31, and 43. So the modes of this set are 24,31,43.

Find the mode of the numbers 3, 7, 6, 4, 7, 3, 4, 3, 5, 4, 4, 6, 7, 5, 7, and 4.(If there is more than one mode use a comma to separate each mode. If there is no mode, enter ∅ as your answer.)

4 List each number with its frequency. Number34567 Frequency35224 Now, look for the highest frequency. The highest frequency is 5, which corresponds to the number 4. So the mode of this set is 4.

For the past six workdays, Mia recorded how much she spent on lunch each day. She spent $10.35, $8.97, $9.59, $11.20, $8.44, and $10.63. Find the median.(Round to the nearest cent.)

$9.97 List the numbers in order from smallest to largest. 8.44,8.97,9.59,10.35,10.63,11.2 The number of amounts in the set is n=6. Since n is even, the median is the mean of the two middle values. 8.44,8.97,9.59 (3 BELOW) 10.35,10.63,11.2 (3 above) mean=9.59/+10.35/2 mean=9.97 mean=$9.97 The median amount of money Mia spent on lunch is $9.97.

For the past six workdays, Renee recorded how much she spent on lunch each day. She spent $11.68, $11.62, $12.61, $12.08, $11.63, and $7.72. Find the median.(Round to the nearest cent.)

11.66 List the numbers in order from smallest to largest. 7.72,11.62,11.63,11.68,12.08,12.61 The number of amounts in the set is n=6. Since n is even, the median is the mean of the two middle values. 7.72,11.62,11.63 (3 below,) 11.68,12.08,12.61 (3 above) mean=11.63+11.68/2 mean=11.655 mean=$11.66 Notice that we round our mean to the nearest cent since we are dealing with money. The median amount of money Renee spent on lunch is $11.66.

The number of minutes it took Gail to ride her bike to school for each of the past six days was 14, 23, 18, 17, 22, and 18 minutes. Find the mean number of minutes.(Round to one decimal place.)

18.7 min The formula for the mean is mean=sum of all the numbers/n, MEAN=SUM OF ALL NUMBERS DIVIDED BY N where n is how many values are in the set. If we count the number of values in the set given we find that n=6. Substituting the given values and n into the formula we find mean=14+23+18+17+22+18/6 mean=112/6≈18.7 The mean is 18.7.

The number of units being taken by students in one class is 35, 30, 43, 42, 45, 32, 28, 22, 24, 42, 22, 44, 34, 41, 32, 38, 34, and 41. Identify the mode.(If there is more than one mode use a comma to separate each mode. If there is no mode, enter ∅ as your answer.)

42, 32, 22, 34,41 List each number with its frequency. Number22242830323435384142434445 Frequency2111221122111 Now, look for the highest frequency. The highest frequency is 2, which corresponds to the numbers 22, 32, 34, 41, and 42. So the modes of this set are 22,32,34,41,42.

The number of units being taken by students in one class is 26, 19, 18, 36, 29, 26, 45, 43, 37, 43, 21, 45, 17, 34, 43, 43, 37, 43, 34, and 21. Identify the mode.(If there is more than one mode use a comma to separate each mode. If there is no mode, enter ∅ as your answer.)

43 List each number with its frequency. Number1718192126293436374345Frequency11122121252 Now, look for the highest frequency. The highest frequency is5, which corresponds to the number43. So the mode of this set is43.

Find the median of the numbers 47, 54, 4, 52, 3, 17, 49, 39, 8, 60, 19, 57, 17, and 94.

43 List the numbers in order from smallest to largest. 3,4,8,17,17,19,39,47,49,52,54,57,60,94 The number of values in the set is n=14. Since n is even, the median is the mean of the two middle values. 3,4,8,17,17,19,39 (7 BELOW) 47,49,52,54,57,60,94 (7 ABOVE) mean= 39+47/2 mean=43 The median of the data is 43.

The number of units being taken by students in one class is 22, 45, 34, 38, 31, 20, 43, 35, 18, 43, 30, 34, and 27. Identify the mode.(If there is more than one mode use a comma to separate each mode. If there is no mode, enter ∅ as your answer.)

43,34 List each number with its frequency. Number1820222730313435384345Frequency11111121121 Now, look for the highest frequency. The highest frequency is2, which corresponds to the numbers 43 and 34. So the modes of this set are43,34.

Find the median of the numbers 48, 61, 11, 59, 29, 57, 66, 50, 37, and 27.

49 List the numbers in order from smallest to largest. 11,27,29,37,48,50,57,59,61,66 The number of values in the set is n=10. Since n is even, the median is the mean of the two middle values. 11,27,29,37,48 (5below) 50,57,59,61,66 (5 above) mean= 48+50/2 mean= 49 The median of the data is 49

For the past seven months, Renee's cell phone bills were $52.19, $96.16, $34.63, $48.02, $35.11, $59.84, and $44.13. Find the mean cost of Renee's cell phone bills.(Round to the nearest cent.)

52.87 The formula for the mean is mean=sum of all the numbersn, where n is how many values are in the set. If we count the number of values in the set given we find that n=7. Substituting the given values and n into the formula we find mean= 52.19+96.16+34.63+48.02+35.11+59.84+44.13/7 mean=370.08/7 mean=52.87.

Find the mean of the numbers 42.3, 68.6, 84.7, 83.9, 9.5, 26.2, 41.2, and 85.8.(Round to two decimal places.) Provide your answer below:

55.28 the formula for the mean is mean=sum of all the numbers/n where n is how many values are in the set. If we count the number of values in the set given we find that n=8. Substituting the given values and n into the formula we find mean=42.3+68.6+84.7+83.9+9.5+26.2+41.2+85.8/8 mean=442.2/8 mean≈55.28 The mean is 55.28.

For the past eight months, Sneha's cell phone bills were $63.96, $87.24, $75.95, $74.87, $54.17, $79.19, $86.70, and $41.00. Find the mean cost of Sneha's cell phone bills.(Round to the nearest cent.)

70.39 The formula for the mean is mean=sum of all the numbersn, where n is how many values are in the set. If we count the number of values in the set given we find that n=8. Substituting the given values and n into the formula we find mean= 63.96+87.24+75.95+74.87+54.17+79.19+86.7+41.0/8 mean=563.08/8 The mean is 70.39.