Answer:
Explanation:
Based on the given information, the stem-and-leaf plot represents the weight of f dogs in pounds. The stems range from 4 to 9, indicating the tens place of the weights. The leaves represent the ones place of the weights.
To determine the minimum and maximum values of the data, we look at the stems and the first and last leaves. The minimum weight is found in the stem 4, with a leaf of 0. Therefore, the minimum weight is 40 pounds. The maximum weight is found in the stem 9, with a leaf of 5. Therefore, the maximum weight is 95 pounds.
To find the quartiles, we need to determine the median as well. The median is the middle value of the data set. In this case, since there are an odd number of data points, the median is the middle value when the data is sorted in ascending order. Looking at the stems and leaves, we can see that the median weight is 68 pounds.
To find the first quartile, we need to find the median of the lower half of the data. From the stem-and-leaf plot, we can see that the lower half of the data consists of weights from 40 to 68 pounds. Taking the median of this lower half, we find that the first quartile is 54 pounds.
To find the third quartile, we need to find the median of the upper half of the data. From the stem-and-leaf plot, we can see that the upper half of the data consists of weights from 68 to 95 pounds. Taking the median of this upper half, we find that the third quartile is 79 pounds.
In summary:
- The minimum weight is 40 pounds.
- The first quartile is 54 pounds.
- The median weight is 68 pounds.
- The third quartile is 79 pounds.
- The maximum weight is 95 pounds.