Answer:
The mean length is 3 ft
while the median length is 2.5 ft
Step-by-step explanation:
The mean length is the sum of the lengths divided by the count of the lengths.
Mathematically, that is;
(2 + 3 + 6 + 1.5 + 4.5 + 1)/6 = 18/6 = 3 ft
To calculate the median length, we first need to rearrange the lengths in increasing order
1, 1.5, 2, 3, 4.5, 6
Now, looking at these lengths, the middle lengths are 2ft and 3ft
we can add both together and divide by 2
That would be (2+3)/2 = 5/2 = 2.5 ft
Answer:
Step-by-step explanation:
Given the lengths of the pieces of lumber that a carpenter has as shown;
2 ft, 3 ft, 6 ft, 1.5 ft, 4.5 ft, 1 ft
3) The mean length is expressed as the ratio of the sum total of the lengths to the total amount of pieces of lumber given.
Mathematically; Mean ([tex]\overline x[/tex]) = [tex]\frac{\sum Xi}{N}[/tex]
Xi is the individual length
N is the total amount of pieces of lumber = 6pieces
[tex]\overline x = \frac{2+3+6+1.5+4.5+1}{6} \\\overline x = \frac{18}{6} \\\overline x = 3ft[/tex]
4) Median is the value at the middle of the given lengths after rearrangement. Rearrangement can either be ascending or descending.
Rearranging the data in ascending order we have;
1ft, 1.5ft, 2ft, 3ft, 4.5ft, 6ft
The two lengths at the middle are 2ft and 3ft. Taking the average of the two values since we cannot have 2 median values.
Median = 2+3/2
median = 2.5ft
