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An animal shelter takes cats and dogs - Leaving Cert Mathematics - Question 7 - 2022
Question 7
An animal shelter takes cats and dogs. (a) The staff record the weight of each animal in the shelter on two different days: the day they are taken into the shelter ... show full transcript
Worked Solution & Example Answer:An animal shelter takes cats and dogs - Leaving Cert Mathematics - Question 7 - 2022
Step 1
Draw a back-to-back stem-and-leaf plot to show this information.
Answer
To create a back-to-back stem-and-leaf plot for the weights of the dogs on Day X and Day Y, we will divide the values into stems (tens and units).
Stem-and-leaf plot:
| 4 5 5 | 6 7 7 | 8 (Day Y)
| 4 5 5 | 5 6 (Day X)
4 | 5 6 (Day X)
Each stem represents the integer part of the weight, while the leaves represent the decimal. This clearly shows the distribution of both sets of weights.
Step 2
What does the stem-and-leaf plot show about the weights of the dogs on Day X and Day Y?
Answer
The stem-and-leaf plot reveals that:
- The overall weight of the dogs has increased from Day X to Day Y.
- Most weights on Day Y are slightly higher than those on Day X, indicating a general upward trend.
- There are more dogs in the higher weight range on Day Y compared to Day X.
Step 3
What is the most likely value of r?
Answer
The most likely value of is . This suggests a strong positive linear relationship between the weights on Day X and Day Y.
This conclusion is based on the observed trend in the stem-and-leaf plot, where weights increase consistently from Day X to Day Y.
Step 4