Question

Round your answers to the one decimal place.

What is the mean of the combined scores?

What is the standard deviation of the combined scores?

Data:

Race	Position	Oral exam results	Written exam results	Combined results
B	Lieutenant	45.83	46	45.932
B	Lieutenant	52.92	49	50.568
B	Captain	54.76	49	51.304
H	Lieutenant	48.33	58	54.132
B	Lieutenant	52.08	56	54.432
H	Lieutenant	40.83	64	54.732
B	Captain	60	53	55.8
W	Captain	53.81	58	56.324
B	Lieutenant	58.75	55	56.5
W	Lieutenant	54.58	58	56.632
B	Lieutenant	55.83	58	57.132
W	Lieutenant	45.42	65	57.168
H	Lieutenant	44.17	66	57.268
H	Captain	42.86	67	57.344
W	Lieutenant	44.58	66	57.432
W	Lieutenant	51.25	62	57.7
W	Lieutenant	57.92	58	57.968
B	Captain	70.48	50	58.192
B	Lieutenant	60.83	58	59.132
H	Lieutenant	46.25	68	59.3
H	Captain	57.14	61	59.456
W	Lieutenant	60	60	60
W	Lieutenant	49.58	67	60.032
B	Lieutenant	51.25	66	60.1
B	Lieutenant	55	64	60.4
B	Captain	67.62	56	60.648
H	Lieutenant	51.25	67	60.7
H	Lieutenant	42.5	73	60.8
W	Captain	48.57	69	60.828
B	Lieutenant	56.25	64	60.9
B	Lieutenant	56.67	64	61.068
W	Lieutenant	56.25	66	62.1
H	Captain	58.57	65	62.428
H	Lieutenant	50.42	71	62.768
W	Lieutenant	71.67	57	62.868
W	Captain	55.24	68	62.896
H	Lieutenant	51.67	71	63.268
B	Lieutenant	69.17	60	63.668
H	Lieutenant	57.5	70	65
W	Lieutenant	50.42	75	65.168
B	Lieutenant	66.25	65	65.5
W	Lieutenant	55	73	65.8
H	Captain	67.14	65	65.856
H	Lieutenant	56.25	73	66.3
W	Lieutenant	79.17	59	67.068
B	Captain	52.38	77	67.152
W	Lieutenant	64.58	69	67.232
B	Lieutenant	70.83	65	67.332
W	Captain	57.14	75	67.856
W	Lieutenant	51.67	79	68.068
H	Lieutenant	62.5	72	68.2
W	Lieutenant	51.25	80	68.5
W	Lieutenant	73.75	66	69.1
W	Lieutenant	58.75	76	69.1
H	Lieutenant	70.83	68	69.132
H	Captain	60.48	75	69.192
W	Captain	59.05	76	69.22
W	Captain	71.43	68	69.372
W	Captain	71.43	68	69.372
W	Lieutenant	64.58	73	69.632
W	Captain	78.57	64	69.828
W	Captain	62.38	75	69.952
W	Lieutenant	71.67	69	70.068
W	Lieutenant	73.75	68	70.3
B	Captain	70.95	70	70.38
W	Lieutenant	77.5	66	70.6
H	Lieutenant	53.75	82	70.7
W	Lieutenant	65.83	74	70.732
W	Lieutenant	58.33	79	70.732
H	Lieutenant	69.17	72	70.868
H	Lieutenant	55	82	71.2
W	Captain	56.67	81	71.268
W	Captain	82.38	64	71.352
B	Captain	68.57	74	71.828
W	Lieutenant	73.33	71	71.932
W	Lieutenant	72.5	72	72.2
B	Lieutenant	92.08	59	72.232
W	Lieutenant	66.67	76	72.268
B	Lieutenant	70.83	74	72.732
W	Lieutenant	78.33	70	73.332
W	Captain	70	76	73.6
W	Captain	73.33	74	73.732
B	Lieutenant	65.83	80	74.332
W	Lieutenant	87.5	66	74.6
B	Captain	82.38	70	74.952
W	Captain	76.67	74	75.068
W	Lieutenant	63.33	83	75.132
W	Captain	73.81	77	75.724
W	Lieutenant	74.17	77	75.868
B	Lieutenant	80.42	73	75.968
H	Captain	79.05	74	76.02
B	Lieutenant	61.25	86	76.1
W	Captain	80	74	76.4
W	Captain	87.62	69	76.448
B	Lieutenant	77.5	76	76.6
W	Lieutenant	58.75	89	76.9
W	Captain	84.29	72	76.916
W	Lieutenant	73.75	81	78.1
W	Captain	73.81	81	78.124
H	Captain	70	84	78.4
W	Lieutenant	69.58	86	79.432
W	Captain	76.19	82	79.676
H	Captain	76.19	82	79.676
W	Captain	76.19	84	80.876
W	Captain	88.57	76	81.028
W	Lieutenant	68.33	91	81.932
W	Lieutenant	63.75	95	82.5
W	Lieutenant	80.83	84	82.732
W	Lieutenant	73.33	89	82.732
W	Lieutenant	73.75	91	84.1
W	Lieutenant	80	87	84.2
W	Lieutenant	85	84	84.4
W	Captain	82.38	87	85.152
W	Lieutenant	77.5	91	85.6
W	Lieutenant	87.5	87	87.2
W	Captain	80	95	89
W	Lieutenant	88.75	91	90.1
W	Captain	89.52	95	92.808

Answer 1

Round your answers to the one decimal place.

What is the mean of the combined scores?

=69.20088

What is the standard deviation of the combined scores?

= 9.38758

Descriptive statistics
	Oral exam results	Written exam results	Combined results
count	118	118	118
mean	65.5234	71.65	69.20088
sample standard deviation	12.4219	10.62	9.38758
sample variance	154.3043	112.84	88.12657
minimum	40.83	46	45.932
maximum	92.08	95	92.808
range	51.25	49	46.876
sum	7,731.7600	8,455.00	8,165.70400
sum of squares	524,664.7236	619,025.00	575,384.72218
deviation sum of squares (SSX)	18,053.5990	13,202.75	10,310.80848