The heights, in cm, of some pupils are: 149 111 171 166 152 129 162 144 a) Find the mean height of the pupils. b) Find the median height of the pupils. c) Find the range of the heights of the pupils.
Mathematics · Middle School · Mon Jan 18 2021
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Given the data:
149 111 171 166 152 129 162 144
Determine the mean, median and range
Solution:
In order to determine the mean of the pupil's height, we simply needed to solve for the summation of the values divided by the number of values.
Mean = Summation of Values/Number of Values
Mean = (149 + 111 + 171 + 166 + 152 + 129 + 162 + 144)/8
Mean = 148
To find for the mode, simply list the values from least to greatest then determine the middle value.
111, 129, 144, 149, 152, 162, 166, 171
It can be seen that the middle value is 149 and 152, now to have one median, we need to add the two values and divide by 2.
= (149 + 152)/2
= 150.5
Median = 150.5
To solve for the range simply subtract the lowest value to the highest value.
= 171 - 111
= 60
Range = 60
Final answer:
Mean = 148
Median = 150.5
Range = 60