Learning Objective
Name __________________________
Today, we will compute the mean, median, and mode.
CFU
What are we going to do today? Today, we will compute the mean, median, and mode of data
What are we going to compute? We will compute the mean, median, and mode of data sets.
sets.
Activate (or provide) Prior Knowledge
CFU
Students, you have all seen an average, for example on a baseball card. On one side they have a picture of the player, and on the reverse
side they have statistics that tell how well a player has played that year. The averages are determined by finding the mean. Today, we will
compute the mean, median, and mode.
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5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Concept Development
Mean is the average number from a set of data.
 Mean is found by adding all the values in the data set and then dividing by the number of items in the set.
Median is the middle number in a set of data.
 Median is found by ordering the numbers in the data set from least to greatest and circling the middle number.
Mode is the most frequent number in a set of data.
 Mode is found by determining which number in the set is listed most frequently.
Examples:
Data set: 45, 42, 43, 47, 58, 65, 43
Order from least to greatest: 42, 43, 43, 45, 47, 58, 65
Mean
Add all values in the data set.
Divide the sum by the number of items.
42 + 43 + 43 + 45 + 47 + 58 + 65 = 343
343 ÷ 7 =49
The mean of the data set is 49.
Median
Circle the middle value.
--------------------------------------------------------------------Note: If there is an even number of values, find the
sum of the middle two values and divide by 2.
42, 43, 43, 45, 47, 58, 65
The median of the data set is 45.
--------------------------------------------------------------------------42, 43, 43, 45, 47, 55, 58, 65
45 + 47 = 92 ÷ 2 = 46
The median of the data set is 46.
Mode
Determine the most frequent number in the data set.
42, 43, 43, 45, 47, 58, 65
The mode of the data set is 43.
CFU
In your own words, what is the mean? The mean is _____________________.
In your own words, what is the median? The median is ___________________.
In your own words, what is the mode? The mode is ___________________.
For which do you add all the values and divide by the number of items? How do you know? For which do you circle the most frequent
number? How do you know? For which do you order the numbers and circle the middle value? How do you know?
a. mean
b. median c. mode
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5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. Miguel priced iPods at five different stores. The
prices are listed here: $58, $60, $55, $60, and $67.
55, 58, 60, 60, 67
Mean____________
60
Median____________
60
Mode____________
60
2. Videos ‘R’ Us keeps track of how many videos they
sell each day. Here are the totals for this week: 85,
100, 98, 85, and 102.
85, 85, 98, 100, 102
55 + 58 + 60 + 60 + 67 = 300
300 ÷ 5 = 60
3. Mr. and Mrs. Rodriquez collected donations of $50,
$125, $76, $10, $210, $50, $24, and $175 for charity.
10, 24, 50, 50, 76, 125, 175, 210 10 + 24 + 50 + 50 + 76 +
Mean____________
90
63
Median____________
50
Mode____________
125 + 175 + 210 = 720
720 ÷ 8 = 90
50 + 76 = 126
126 ÷ 2 = 63
Mean____________
94
Median____________
98
Mode____________
85
85 + 85 + 98 + 100 + 102 = 470
470 ÷ 5 = 94
4. The temperatures for 8 days in January are listed
here: 7°, 12°, 8°, 13°, 19°, 13°, 11°, and 13°.
7, 8, 11, 12, 13, 13, 13, 19
7 + 8 + 11 + 12 + 13 + 13 + 13 + 19 = 96
96 ÷ 8 = 12
12
Mean____________
12.5
Median____________
13
Mode____________
12 + 13 = 25
25 ÷ 2 = 12.5
CFU
How did I know which numbers to add together? How did I know what number to divide the sum by? How did I find the median? How did I
find the mode? Do Step #1 and show. How did you know what numbers to add? Do Step #2… How did you know what number to divide
the sum by? Do Step #3… How did you find the median? Do Step #4… How did you find the mode? Which step was the hardest for you?
Why?
StepEducational
#___ was the
hardest for me because _________________.
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5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice (continued)
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
5. The temperatures for this week are listed here: 72°,
75°, 74°, 74°, 79°, 77°, and 74°.
72, 74, 74, 74, 75, 77, 79
6. The high temperatures for 7 days in August are
listed here: 107°, 102°, 102°, 108°, 99°, 114°, and
110°.
72 + 74 + 74 + 74 + 75 + 77 + 79 = 525 99, 102, 102, 107, 108, 110, 114
525 ÷ 7 = 75
99 + 102 + 102 + 107 + 108 + 110 + 114 = 742
75
Mean____________
Median____________
74
Mode____________
74
106
Mean____________
107
Median____________
102
Mode____________
7. In Mr. Porter’s math class, 2 students are 64” tall, 1
is 60”, 3 are 66”, and 1 is 69” tall.
60, 64, 64, 66, 66, 66, 69
8. In Mrs. Torres’s math class, 3 students got 95 on the
test, 1 got 85, and 1 got 80 on the test.
80, 85, 95, 95, 95
60 + 64 + 64 + 66 + 66 + 66 + 69 = 455
65
Mean____________
455 ÷ 7 = 65
66
Median____________
66
Mode____________
742 ÷ 7 = 106
80 + 85 +95 + 95 + 95 = 450
90
Mean____________
95
Median____________
95
Mode____________
450 ÷ 5 =
90
CFU
How did I know which numbers to add together? How did I know what number to divide the sum by? How did I find the median? How did I
find the mode? Do Step #1 and show. How did you know what numbers to add? Do Step #2… How did you know what number to divide
the sum by? Do Step #3… How did you find the median? Do Step #4… How did you find the mode? Which step was the easiest for you?
Why?
StepEducational
#___ was the
easiest for me because _________________.
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Research
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5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Importance
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
1. Computing mean, median, and mode will help you organize values and
determine the average or the most frequent value.
2. Computing mean, median, and mode will help you determine things
like batting averages or test scores.
3. Computing mean, median, and mode will help you do well on tests
CFU
Does anyone else have another reason why it is important to compute the mean, median, and? (pair-share) Why is it important to
compute the mean, median, and mode? You may give me one of my reasons or one of your own. Which reason is most important to you?
Why?
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5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
The mean is the average number from a set of data.
The median is the middle number in a set of data.
1. What is the mean? Median? Mode?
2. Compute the mean, median, and mode below. The mode is the most frequent number in a set of data.
Closure
3. What did you learn today about computing mean, median, and mode? Why is that important to you? (pair-share)
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. The total number of books sold at The Book Nook is recorded every day. Here are the numbers for this
week: 65, 45, 66, 65, and 49.
45, 49, 65, 65, 66
58
Mean____________
65
Median____________
65
Mode____________
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45 + 49 + 65 + 65 + 66 = 290
290 ÷ 5 = 58
5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Name ___________________________
Independent Practice
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. The temperatures for this week are listed here: 35°,
32°, 33°, 35°, 34°, 35°, and 34°.
2. The scores on the math test are listed here: 75, 77,
72, 89, 91, 89, and 95.
32, 33, 34, 34, 35, 35, 35
72, 75, 77, 89, 89, 91, 95
32 + 33 + 34 + 34 + 35 + 35 + 35 = 238
238 ÷ 7 = 34
72 + 75 + 77 + 89 + 89 + 91 + 95 = 588
Mean____________
34
Median____________
34
Mode____________
35
84
Mean____________
89
Median____________
89
Mode____________
3. The recycling yard records the number of pounds of
aluminum they receive each day. The values are listed
here: 25, 34, 30, 15, 23, 31, 25, and 17.
4. Sam priced hamburgers at 8 restaurants in town.
The prices are listed here: $5, $12, $6, $3, $7, $4, $3,
and $8.
15, 17, 23, 25, 25, 30, 31, 34
Mean____________
25
Median____________
25
Mode____________
25
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15 + 17 + 23 + 25 + 25 +
30 + 31 + 34 =
200
200 ÷ 8 = 25
25 + 25 = 50
50 ÷ 2 = 25
3, 3, 4, 5, 6, 7, 8, 12
Mean____________
6
Median____________
5.5
Mode____________
3
588 ÷ 7 = 84
3 + 3 + 4 + 5 + 6 + 7 + 8 + 12 = 48
48 ÷ 8 = 6
5 + 6 = 11
11 ÷ 2 = 5.5
5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Name ___________________________
Periodic Review 1
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. Michelle’s first four test scores are listed here: 45,
55, 43, and 45.
2. The temperatures for last week are listed here: 54°,
65°, 57°, 59°, and 65°.
43, 45, 45, 55
54, 57, 59, 65, 65
47
Mean____________
45
Median____________
45
Mode____________
43 + 45 + 45 + 55 = 188
188 ÷ 4 = 47
60
Mean____________
59
Median____________
65
Mode____________
45 + 45 = 90
90 ÷ 2 = 45
3. The prices for six different kinds of cereal are listed
here: $5, $4, $3, $2, $3, and $1.
1, 2, 3, 3, 4, 5
1+2+3+3+4+5=
18
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3+3=6
6÷2=3
300 ÷ 5 = 60
4. Mrs. Guerrero priced CDs at music stores around
town. Here are the prices she found: $15, $10, $17,
$18, and $15.
10, 15, 15, 17, 18
18 ÷ 6 = 3
3
Mean____________
3
Median____________
3
Mode____________
54 + 57 + 59 + 65 + 65 = 300
10 + 15 + 15 + 17 + 18 = 75
75 ÷ 5 = 15
15
Mean____________
15
Median____________
15
Mode____________
5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Name ___________________________
Periodic Review 2
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. Freddy records how long each of his deliveries
takes. Here are the times for his last six deliveries: 25
min., 36 min., 17 min., 22 min., 34 min., and 22 min.
2. The scores for the eight finalists at the golf tourney
are listed here: 45, 36, 62, 34, 45, 50, 42, and 38.
17, 22, 22, 25, 34, 36
34, 36, 38, 42, 45, 45, 50, 62
Mean____________
26
23.5
Median____________
22
Mode____________
17 + 22 + 22 + 25 + 34 + 36 = 156
156 ÷ 6 = 26
22 + 25 = 47
47 ÷ 2 = 23.5
3. The class scores for the spelling test are listed here:
55, 65, 63, 50, 64, and 63.
50, 55, 63, 63, 64, 65
50 + 55 + 63 + 63 + 64 + 65 = 360
34 + 36 + 38 + 42 + 45 + 45 + 50 + 62 = 352
652 ÷ 8 = 44
44
Mean____________
43.5
Median____________
45
Mode____________
4. The temperatures for 7 days in February are listed
here: 4°, 6°, 7°, 12°, 7°, 8°, and 5°.
4, 5, 6, 7, 7, 8, 12
360 ÷ 6 = 60
60
Mean____________
63
Median____________
63
Mode____________
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63 + 63 = 126
126 ÷ 2 = 63
42 + 45 = 87
87 ÷ 2 = 43.5
4 + 5 + 6 + 7 + 7 + 8 + 12 = 49
49 ÷ 7 = 7
7
Mean____________
7
Median____________
7
Mode____________
5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.
Name ___________________________
Periodic Review 3
Mean is the average number from a set of data.
Median is the middle number in a set of data.
Mode is the most frequent number in a set of data.
Compute the mean, median, and mode.
Step #1: Order the numbers from least to greatest.
Step #2: (Mean) Add all the values in the data set and then divide by the number of items.
Step #3: (Median) Identify the middle number. (Hint: if there is an even number of values, find the sum of the two middle values and divide by 2.)
Step #4: (Mode) Identify the most frequent number in the data set.
1. The temperatures for the last week in September
were as follows: 90°, 98°, 85°, 94°, 96°, 94°, and 94°.
2. Alicia records how long it takes her to run 1 mile.
Here are the times for her last six runs: 14 min., 6
min., 10 min., 8 min., 16 min., and 6 min.
85, 90, 94, 94, 94, 96, 98
6, 6, 8, 10, 14, 16
Mean____________
93
94
Median____________
94
Mode____________
10
Mean____________
9
Median____________
6
Mode____________
85 + 90 + 94 + 94 + 94 + 96 = 650
651 ÷ 7 = 93
3. The class scores for their history finals are as
follows: 90, 78, 97, 90, and 75.
75, 78, 90, 90, 97
86
Mean____________
90
Median____________
90
Mode____________
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75 + 78 + 90 + 90 + 97 = 430
430 ÷ 5 = 86
6 + 6 + 8 + 10 + 14 + 16 = 60
60 ÷ 6 = 10
8 + 10 = 18
18 ÷ 2 = 9
4. The scores for the last six baseball games were: 5,
8, 7, 11, 8, and 15.
5, 7, 8, 8, 11, 15
5 + 7 + 8 + 8 + 11 + 15 =
54
54 ÷ 6 = 9
9
Mean____________
8
Median____________
8
Mode____________
8 + 8 = 16
16 ÷2 = 8
5th Grade Statistics, Data, and Probability 1.1 (1Q)
Compute the mean, median, and mode.
Lesson to be used by EDI-trained teachers only.