To find the interquartile range (IQR) of the kittens' weights, we first need to organize the data and identify the first quartile (Q1) and the third quartile (Q3).
The weights of the kittens are:
- 100 g
- 120 g
- 140 g
- 160 g
- 180 g
- 200 g
Step 1: Organize the data
The given weights are already sorted in ascending order.
Step 2: Find the quartiles
- Q1 is the median of the first half of the data.
- Q3 is the median of the second half of the data.
Divide the data into two halves:
- First half: 100 g, 120 g, 140 g
- Second half: 160 g, 180 g, 200 g
Finding Q1:
The first half consists of three values: 100, 120, and 140. The median of this half (Q1) is the middle value: \( Q1 = 120 , \text{g} \)
Finding Q3:
The second half consists of three values: 160, 180, and 200. The median of this half (Q3) is the middle value: \( Q3 = 180 , \text{g} \)
Step 3: Calculate the IQR
The interquartile range (IQR) is calculated as follows: \[ IQR = Q3 - Q1 \] \[ IQR = 180 , \text{g} - 120 , \text{g} \] \[ IQR = 60 , \text{g} \]
Thus, the interquartile range of the kittens' weights is 60 grams.
1 answer