Question

For the Spurs basketball team, scores for the last 50 games since 01/02/2018 game are listed below. By using only scores with two digits, construct a stem and leaf plot for the data:
100	106	103	110	107	81	112	99	100	83	86	114	108	78	113	106	91	111	129	105
99	109	119	110	116	112	100	107	94	93	108	98	117	89	98	124	103	106	103	100
110	112	116	98	98	92	101	97	103	91	(Scores extracted from Spurs.com)
f. By using all 50 scores, what is the standard deviation?
g. By using all 50 scores, find the value that is 2 standard deviations below the mean?
h. By using only scores with 2 digits from your plot, what is the mean?
i. By using only scores with 2 digits from your plot, what is the standard deviation?
j. By using only scores with 2 digits from your plot, find the value that is 1 standard deviation above the mean?
7	8
8	1369
9	12347888899

Answer 1

By using all 50 scores, what is the standard deviation?

Answer is 10.61

Formula in excel : =STDEV(A1:T2,A3:J3)

By using all 50 scores, find the value that is 2 standard deviations below the mean?

2nd standard deviation below = mean - 2standard deviation = 103.3 - 10.61 - 10.61 = 82.08

MEan = 103,3

By using only scores with 2 digits from your plot, what is the standard deviation?

Stem	Leaf
7	1
8	1 3 6 9
9	1 1 2 3 4 7 8 8 8 8 9 9
10	0 0 0 0 1 3 3 3 3 5 6 6 6 7 7 8 8 9
11	0 0 0 1 2 2 2 3 4 6 6 7 9
12	4 9

MEan value with 2 digit is 108.88

By using only scores with 2 digits from your plot, what is the standard deviation?

Answer is 6.95

By using only scores with 2 digits from your plot, find the value that is 1 standard deviation above the mean

1st standard deviation above = mean + standard deviation = 108.88+ 6.95 = 115.83