Question

Obs.	Data	z-score	Obs.	Data	z-score
1	2	0.35649	26	2	0.35649
2	2	0.35649	27	3	1.48462
3	1.5	-0.2076	28	0.2	-1.6741
4	2.7	1.14618	29	1	-0.7716
5	1.6	-0.0948	30	1.6	-0.0948
6	2	0.35649	31	0.7	-1.1101
7	2	0.35649	32	1.4	-0.3204
8	2	0.35649	33	2	0.35649
9	0.7	-1.1101	34	0.6	-1.2229
10	2.3	0.69493	35	2	0.35649
11	0.3	-1.5613	36	2.6	1.03337
12	0.4	-1.4485	37	3	1.48462
13	0.2	-1.6741	38	2.8	1.25899
14	0.8	-0.9973	39	2	0.35649
15	2	0.35649	40	1	-0.7716
16	2	0.35649	41	3	1.48462
17	0.3	-1.5613	42	2.9	1.37181
18	2	0.35649	43	0.5	-1.3357
19	2	0.35649	44	1	-0.7716
20	3	1.48462	45	2	0.35649
21	3	1.48462	46	2	0.35649
22	2	0.35649	47	0.5	-1.3357
23	2	0.35649	48	0.5	-1.3357
24	3	1.48462	49	2	0.35649
25	2	0.35649	50	0.1	-1.787

Mean	1.684
Median	2
Mode	2
Range	2.9
Variance	0.80178
Std.D	0.886422

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Required Question:

1. According to the empirical rule how many observations are expected to be within ±1, ±2, ±3 standard deviation of the mean?
2. Describe the shape for the given set of data

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Note: All Data is here just i need the above answer from the above data

Answer 1

According to the empirical rule how many observations are expected to be within ±1, ±2, ±3 standard deviation of the mean?

According to the empirical rule 68% of observations to be within   ±1 standard deviation of the mean

According to the empirical rule 95 % of observations to be within   ±2 standard deviation of the mean

According to the empirical rule 99.7 % of observations to be within   ±3 standard deviation of the mean

Describe the shape for the given set of data

mean=1.684

median=2

mean <median

shape is skewed to left

Distribution is negatively skewed.