Question

1. Eight individuals experienced an unexplained episode of vitamin D intoxication that required hospitalization. It was thought that these might be the result of excessive supplementation of dairy milk. Blood levels of calcium and albumin – a type or protein – for each subject at the time of hospital admission are provided below.

Calcium(mmol/l)	Albumin(g/l)
3.44	43
3.74	42
3.17	42
2.67	40
2.99	42
2.37	38
3.84	34
2.92	42

a) Find the mean, median, 10th percentile, 90th percentile, standard deviation and range of the recorded calcium levels. b) Find the mean, median, 10th percentile, 90th percentile, standard deviation and range of the recorded albumin levels. c) For healthy individuals, the normal range of calcium levels is 2.12 to 2.74 mmol/l, while the normal range of albumin levels is 32 to 55 g/l. Do you believe that patients suffering from vitamin D intoxication have normal blood levels of calcium and albumin?

Answer 1

a) Find the mean, median, 10th percentile, 90th percentile, standard deviation and range of the recorded calcium levels.

Mean	3.1425
Median	3.08
10th percentile	2.37
90th percentile	3.84
Standard deviation	0.510679
Range	1.47

b) Find the mean, median, 10th percentile, 90th percentile, standard deviation and range of the recorded albumin levels.

Mean	40.375
Median	42
10th percentile	34
90th percentile	43
Standard deviation	3.020761
Range	9

c) For healthy individuals, the normal range of calcium levels is 2.12 to 2.74 mmol/l, while the normal range of albumin levels is 32 to 55 g/l. Do you believe that patients suffering from vitamin D intoxication have normal blood levels of calcium and albumin?

The patients suffering from vitamin D intoxication do not have normal blood levels of calcium because the mean, median & 90th percentile is greater than 2.12 to 2.74 mmol/l.

The patients suffering from vitamin D intoxication have normal blood levels of albumin because the mean, median & 90th percentile is between than 32 to 55 g/l.