Standard Deviation Quiz.docx
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Name: _________________________________ Direction: Calculate the standard deviation of the given ungrouped data
Name: _________________________________ Direction: Calculate the standard deviation of the given ungrouped data
1. 2, 5, 6, 3, 1, 4
1. 2, 5, 6, 3, 1, 4
a. Find the mean
a. Find the mean
𝛴𝑓𝑥
mean =
𝑛 2+5+6+3+1+7
=
𝛴𝑓𝑥
mean =
𝑛 2+5+6+3+1+7
=
6
= =
6
= =
b. Complete the table of values. x
b. Complete the table of values. d2(squared deviation) 4 1
d(deviation) (x – x ) –2
2 5 6 3 1 7
2 –1
x 2 5 6 3 1 7
1 9
3
2 –1
Σd2 =
c. Calculate the standard deviation.
c. Calculate the standard deviation.
Σd2
Σd2
SD = √ 𝑛
SD = √ 𝑛
=√
=√
=√ =
=√ =
2. 5, 10, 15, 20, 25 a. Find the mean
2. 5, 10, 15, 20, 25 a. Find the mean
𝛴𝑓𝑥
=
𝑛 5+10+15+20+25
=
5
𝑛 5+10+15+20+25 5
= = 15
b. Complete the table of values. d(deviation) (x – x )
5 10 15 20 25
𝛴𝑓𝑥
mean =
= = 15 x
-5 0
b. Complete the table of values. d2(squared deviation) 100 25 0 100
x
d(deviation) (x – x )
5 10 15 20 25
-5 0
c. Calculate the standard deviation. SD = 𝑛
d2(squared deviation) 100 25 0 100
Σd2 =
Σd2
1 9
3
Σd2 =
mean =
d2(squared deviation) 4 1
d(deviation) (x – x ) –2
Σd2 =
c. Calculate the standard deviation. Σd2
SD = 𝑛
=√
=√
=√
=√
Name: _________________________________ Direction: Calculate the standard deviation of the given ungrouped data
1. 2, 5, 6, 3, 1, 4
1. 2, 5, 6, 3, 1, 4
a. Find the mean
a. Find the mean
𝛴𝑓𝑥
mean =
𝑛 2+5+6+3+1+7
=
𝛴𝑓𝑥
mean =
𝑛 2+5+6+3+1+7
=
6
= =
6
= =
b. Complete the table of values. x
b. Complete the table of values. d2(squared deviation) 4 1
d(deviation) (x – x ) –2
2 5 6 3 1 7
2 –1
x 2 5 6 3 1 7
1 9
3
2 –1
Σd2 =
c. Calculate the standard deviation.
c. Calculate the standard deviation.
Σd2
Σd2
SD = √ 𝑛
SD = √ 𝑛
=√
=√
=√ =
=√ =
2. 5, 10, 15, 20, 25 a. Find the mean
2. 5, 10, 15, 20, 25 a. Find the mean
𝛴𝑓𝑥
=
𝑛 5+10+15+20+25
=
5
𝑛 5+10+15+20+25 5
= = 15
b. Complete the table of values. d(deviation) (x – x )
5 10 15 20 25
𝛴𝑓𝑥
mean =
= = 15 x
-5 0
b. Complete the table of values. d2(squared deviation) 100 25 0 100
x
d(deviation) (x – x )
5 10 15 20 25
-5 0
c. Calculate the standard deviation. SD = 𝑛
d2(squared deviation) 100 25 0 100
Σd2 =
Σd2
1 9
3
Σd2 =
mean =
d2(squared deviation) 4 1
d(deviation) (x – x ) –2
Σd2 =
c. Calculate the standard deviation. Σd2
SD = 𝑛
=√
=√
=√
=√
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