Question

Match the questions with the correct answers about the given box plot below

Answer 1

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

Explanation:

Florida: How to find the weight range

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

Tennessee: How to find the interquartile range

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

Tennesse: Median Weight

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

Florida: Median Weight

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

Florida: Weight of the heaviest child

Since the smallest number in Florida is 84,

Therefore, the weight of the heaviest child in Florida is 84

Tennesse: Weight of the smallest child

Since the smallest number in Tennesse is 71,

Therefore, the weight of the smallest child in Tennesse is 71

Answer 2

1. D

2. E

3. B

4. C

5. A

5. F

Explanation:

The median can be found at the line inside of the box, the heaviest weight would be found at the right end of the line, and the smallest weight would be found at the left, the interquartile range is the difference of one end of the box to the other, and the range is the difference of the largest number of the entire diagram, from the smallest number.

Hope this helps you!