Question

The following data represents the ages at which people received their first colonoscopy.

30	35	43	44	47	48	54	55	56	57
59	62	63	65	66	68	69	69	71	72
72	73	74	76	77	77	78	79	80	81
81	82	83	85	89	92	93	94	97	98

Provide a well-written statistical write-up about this sample of patients, and should be no longer than 2 paragraphs. Your write-up should include at minimum: 1 measure of central tendency, 1 measure of spread, a table, and some sort of graph. Extra points for detail and creativity.

Answer 1

For the given data, a descriptive statistics for the ages at which people received their first colonoscopy is given as below:

Age
Mean	69.85
Standard Error	2.658452895
Median	72
Mode	69
Standard Deviation	16.8135324
Sample Variance	282.6948718
Kurtosis	-0.252008166
Skewness	-0.445414714
Range	68
Minimum	30
Maximum	98
Sum	2794
Count	40

It is observed that the average age at which people received their first colonoscopy is given as 69.85 years with a standard deviation of 16.81 years. The median age at which people received their first colonoscopy is given as 72 years. A mode is given as 69 which means most of the patients requires colonoscopy at the age of 69 years. The minimum age at which people received their first colonoscopy is given as 30 years and the maximum age at which people received their first colonoscopy is given as 98 years. Given data is skewed at the left side or it is negatively skewed.

The box plot for this data is given as below:

From this box plot, it is observed that data is skewed at left side.

The histogram for this data is given as below:

Above histogram also shows small negative skewed nature and this data follows an approximately normal distribution.