Answer:
174.5
Step-by-step explanation:
You want the median of the given distribution.
Median
There are 22 scores given. When they are sorted into increasing order, the middle two scores are 174 and 175. The median is the average of these two scores:
median = (174 +175)/2 = 349/2 = 174.5
The median of the distribution is 174.5.
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Additional comment
When the number of scores is even, the median is the average of the middle two of the ordered list. When the number is odd, the median is the middle one of the ordered list.
The sorted list is ...
{110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198}
