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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
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.

Solution:

Given, a total of 25 patients admitted to a hospital are tested for levels of blood sugar.

We have to find the mean, median and mode of the given data.

Arranging all the observations in ascending order.

54 69 75 78 85

65 70 76 80 85

67 71 77 81 85

68 73 77 81 85

68 73 78 83 87

Mean = sum of all observations / total number of observations

Sum of all observations = 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

= 1891

Total number of observations = 25

Mean = 1891/25 = 75.64

Given, n = 25 which is odd

Median = [(n + 1)/2]th observation

= (25 + 1)/2

= 26/2

= 13 th observation

So, median = 77

Mode is defined as the highest frequency of an observation.

Maximum repeated number of the observation = 85

Mode = 85

Therefore, the mean, median and mode of the observations are 75.64, 77 and 85.

✦ Try This: 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 :
86 70 82 66 85
76 60 75 65 86
84 53 70 69 86
72 76 65 83 73
80 74 83 75 78

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

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.4 Problem 12

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.

Summary:

A total of 25 patients admitted to a hospital are tested for levels of blood sugar. The mean, median and mode (mg/dl) of the given data are 75.64, 77 and 85 respectively

☛ Related Questions:

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.

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.

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.