Answer:
Florida: The weight range = 10
Tennessee: The interquartile range = 4
Tennesse: Median Weight = 76
Florida: Median Weight = 80
Florida: Weight of the heaviest child = 84
Tennesse: Weight of the smallest child = 71
Step-by-step explanation:
<u>Florida: How to find the weight range</u>
The range of a data set is the difference between the minimum and maximum. To find the range, calculate xn minus x1.
R = xn − x1
Therefore, the weight range in Florida is 10
<u>Tennessee: How to find the interquartile range</u>
To find the interquartile range (IQR), first, find the median (middle value) of the lower and upper half of the data set. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
71, 72, 73, 74, 75, 76, 77, 78, 79, 80
Q1 = 74
Q2 = 78
78 - 74 = 4
Therefore, the interquartile range in Tennesse is 4
<u>Tennesse: Median Weight</u>
The median x˜ is the data value separating the upper half of a data set from the lower half.
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
x˜ = 75.5
Therefore, the median weight of Tennesse is 76
<u>Florida: Median Weight</u>
The median x˜ is the data value separating the upper half of a data set from the lower half.
Arrange data values from lowest to the highest value
The median is the data value in the middle of the set
If there are 2 data values in the middle the median is the mean of those 2 values.
x˜ = 79
Therefore, the median weight of Florida is 80
<u>Florida: Weight of the heaviest child</u>
Since the smallest number in Florida is 84,
Therefore, the weight of the heaviest child in Florida is 84
<u>Tennesse: Weight of the smallest child</u>
Since the smallest number in Tennesse is 71,
Therefore, the weight of the smallest child in Tennesse is 71