Range, Sun of Squares, Variance & Stdev
Item 1
Calculate the range of the following scores:
19
15
8
5
5
2
High Score _____
Low Score _____
Range _____
Item 2
Calculate the range and SS of the following scores:
11
9
8
7
5
7
High Score _____
Low Score _____
SumX _____
SumX2 _____
(SumX)2 _____
N _____
SS _____
variance _____
Item 3
Calculate the variance of the following population:
18
9
7
5
4
2
SumX _____
SumX2 _____
(SumX)2 _____
N _____
SS _____
variance _____
Item 4
Calculate the SS, variance and stdev of the following population:
3
18
9
6
10
6
4
SumX _____
SumX2 _____
(SumX)2 _____
N _____
SS _____
variance _____
Item 5
Calculate the range, SS, variance and stdev of the following sample:
12
3
9
5
5
5
7
11
14
– 1
Range _____
N _____
SS _____
variance _____
Item 6
Calculate the SS of the following scores:
2
2
2
5
5
5
7
SS =
Item 7
Calculate the range and SS of the following scores:
2
5
7
3
3
13
19
4
range =
SS =
Item 8
Calculate the SS and stdev. of the following population scores:
11
10
12
2
4
7
SS =
variance =
Item 9
Calculate the stdev. of the following population:
14
3
5
8
6
9
stdev. =
Item 10
Calculate the SS of the following sample:
5
7
7
6
3
2
SS =
ANSWERS
Item 1
Calculate the range of the following scores:
19
15
8
5
5
2
High Score 19
Low Score 2
Range 17
Item 2
Calculate the range and SS of the following scores:
11
9
8
7
5
7
High Score 11
Low Score 5
SumX 47
SumX2 389
(SumX)2 2209
N 6
SS 20.83
variance 3.47 (if a population) or 4.17 (if a sample)
Item 3
Calculate the variance of the following population:
18
9
7
5
4
2
SumX 45
SumX2 499
(SumX)2 2025
N 6
SS 161.50
variance 26.92
Item 4
Calculate the SS, variance and stdev of the following population:
3
18
9
6
10
6
4
SumX 56
SumX2 602
(SumX)2 3136
N 7
SS 154
variance 22
stdev 4.69
Item 5
Calculate the range, SS, variance and stdev of the following sample:
12
3
9
5
5
5
7
11
14
– 1
Range 15
N 10
SS 186
variance 20.67 (it is a sample, so it is Sum of Squares divided by N-1)
The standard deviation would be 4.55
Item 6
Calculate the SS of the following scores:
2
2
2
5
5
5
7
SS = 24
Item 7
Calculate the range and SS of the following scores:
2
5
7
3
3
13
19
4
range = 17
SS = 250
Item 8
Calculate the SS and stdev of the following population scores:
11
10
12
2
4
7
SS = 81.33
variance = 13.56
Item 9
Calculate the stdev. of the following population:
14
3
5
8
6
9
SumX = 45
SS = 73.50
variance = 12.25
stdev. = 3.50
Item 10
Calculate the SS of the following sample:
5
7
7
6
3
2
SS = 22.00
