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  • A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows : 87 71 83 67 85

A total of 25 patients admitted to a hospital are tested for levels of blood sugar, (mg/dl) and the results obtained were as follows :

87 \; \; \; 71 \: \: \: 83 \; \; \; \;67 \; \; \; 85

77 \; \; \; 69 \; \; \; 76 \; \; \; 65 \; \; \; 85

\\85 \; \; \; 54 \; \; \; 70 \; \; \; 68 \; \; \; 80\\ 73 \; \; \; 78 \; \; \; 68 \; \; \; 85 \; \; \; 73\\ 81 \; \; \; 78 \; \; \; 81 \; \; \; 77 \; \; \; 75

Find mean, median and mode (mg/dl) of the above data.

Answers (1)

Answer :  The mean is 75.88, mode is 85, median is 77

Arrange the data in ascending order

54, 65, 67, 68, 68, 69, 70, 71, 73, 73, 75, 76, 77, 77, 78, 78, 80,

81, 81, 83, 85, 85, 85, 85, 87

\text {Mean}=\frac{\text {sum of all obseravations}}{\text {Total number of observations}}

=\frac{1891}{25}=75.88

The mean is 75.88

Mode is the value that occurs the most number of times in a given set of values

So, 85 is the mode, and its frequency is 4 times.

To calculate the median, arrange the given data in ascending order and then find the middle term. This middle term is called the median.

The data in ascending order is:

54, 65, 67, 68, 68, 69, 70, 71, 73, 73, 75, 76, 77, 77, 78, 78, 80,

81, 81, 83, 85, 85, 85, 85, 87

Number of terms, n=25

\left ( \frac{n+1}{2} \right )^{th}\text{ term is the median} 

=\left ( \frac{25+1}{2} \right )^{th}\text{ term}=\left ( \frac{26}{2} \right )^{th}\text{ term}

13th term is 77

Hence, median is 77

Posted by

infoexpert23

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