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Worksheet - Mathematics

Name:_____________________

Date: __________ Start Time: _________ Finish Time: _________

 
Calculate Mean, Median, Mode

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[ Examples with steps ]: 
Calculate Mean for 1, 1, 2, 4, 7 (Sample A) Calculate Median for 1, 1, 2, 4, 7 (Sample C-1)
Step 1: Compute the sum of all the terms.
i.e. 1 + 1 + 2 + 4 + 7  = 15

Step 2:
Count the terms. i.e. 5

Step 3:
Compute the Mean or Average by dividing the sum with the count. i.e. 15 / 5 =
3
 
Step 1: Count the terms and find if the count is even or odd. Here Count is 5 and its odd.

Step 2:
Make sure that the terms are properly sequenced.

Step 3:
For odd count, Median is the middle term i.e.
2
Calculate Mode for 1, 1, 1, 2, 4, 7, 7 (Sample B) Calculate Median for 1, 1, 2, 4, 7, 8 (Sample C-2)
Step 1: Find the terms that repeat more than one time. i.e 1 repeats three times and 7 repeats 2 times.

Step 2:
Mode is the term that repeat the most from these terms. i.e. since 1 repeats that most times, mode is
1

Note:
If no term repeats, there is no mode.
Step 1: Count the terms and find if the count is even or odd. Here Count is 6 and its even.

Step 2:
Make sure that the terms are properly sequenced.
Step 3:
For even count, Median is the sum of the middle pair divide by 2
   (a)
Find the middle pair i.e. 2, 4
   (b) Add the numbers in the middle pair i.e. 2 + 4  = 6
   (c) Median is
i.e. 6 / 2 =
3

(a) 1, 2, 3, 3, 3, 4, 5
 
Mean = Median = Mode =
     

(b) 1, 2, 3, 3, 4, 5
 
Mean = Median = Mode =
     

(c) 1, 2, 2, 4, 4, 5
 
Mean = Median = Mode =
     

(d) 1, 2, 3, 4, 5
 
Mean = Median = Mode =
     
 
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(a)
Mean:     3
Median:     3
Mode: 3

(b)
Mean:     3
Median:   3 
Mode: 3
(c)
Mean:     3
Median:   3 
Mode: 2, 4
(d)
Mean:     3
Median:   3 
Mode: None

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