Answer:
30
Step-by-step explanation:
median from the given data; 50, 60, 10, 5
arrange in order: 5, 10, 50, 60
The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.
therefore,
the median = (10 + 50) / 2
= 30
The median daily exercise class range is 30 minutes
Reason for the above range:
The median of the histogram is given as follows;
The width of each bar = 30
The total area of the histogram = 30×50 + 30×60 + 30×10 + 30×5 = 3,750
The median = 3,750/2 = 1,875
The area of the first class = 30×50 = 1,500
The area of the second class = 30×60 = 1,800
The difference between the median and the area of the first class = 1,875 - 1,500 = 375
The median is therefore larger than the first class but within the second class
The depth within the second class the median is located = 375/60 = 6.25
The median best estimate = (30 + 6.25) minutes = 36.25 minutes
Range =
The range of the median class interval = between 31 and 60 minutes = 30 minutes
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