40,50,60,70,80,90,100,110,120,130
according to the box and whisker plot shows above what are the following:
1.the median?
2.the 25th percentile?
3.the value of the third quartile?
4.the minimum value?
5.the maximum value?
My answer
1.85
2.40
3.112.5
4.40
5.130
Can you check my answer to see if im correct please
Agree with 1, 4 & 5.
Disagree with 2 and 3.
To determine the correct answers, we need to understand how to interpret a box and whisker plot. The box and whisker plot visualizes the distribution of a dataset by displaying key values such as the median, quartiles, minimum, and maximum.
Given the dataset [40, 50, 60, 70, 80, 90, 100, 110, 120, 130], let's calculate the correct values:
1. The median is the middle value of the dataset when it is sorted in ascending order. Since we have 10 values, the median will be the average of the 5th and 6th values. Hence, the median is (80 + 90) / 2 = 85.
2. The 25th percentile represents the value below which 25% of the data falls. In our dataset, 25% of 10 values is 2.5, meaning it falls between the 2nd and 3rd values. Therefore, the 25th percentile is 50.
3. The third quartile, or the 75th percentile, represents the value below which 75% of the data falls. In our dataset, 75% of 10 values is 7.5, meaning it falls between the 8th and 9th values. Therefore, the third quartile is 120.
4. The minimum value is simply the smallest value in the dataset, which is 40.
5. The maximum value is the largest value in the dataset, which is 130.
Therefore, the correct answers are:
1. The median: 85
2. The 25th percentile: 50
3. The third quartile: 120
4. The minimum value: 40
5. The maximum value: 130
Based on the given dataset, your answers are correct. Well done!