The table below shows the quiz grades for two students.
Drew 90 81 86 79 97 84 92
Nancy 96 68 91 94 69 99 92
Which statement is true about the data above?
The statement that is true about the data above is that Nancy has a wider range of quiz grades compared to Drew.
The given data represents the quiz grades for two students: Drew and Nancy.
To determine which statement is true about the data above, we need to analyze the given information. The table displays the quiz grades for two students: Drew and Nancy.
To examine the data, we can compare the grades of each student. Drew's grades are: 90, 81, 86, 79, 97, 84, and 92. Nancy's grades are: 96, 68, 91, 94, 69, 99, and 92.
Now, let's assess the given options and check the accuracy of each statement:
1. Drew's average grade is higher than Nancy's average grade.
To determine this statement's accuracy, we can compute the average grade for each student by summing their grades and dividing by the number of grades.
For Drew:
(90 + 81 + 86 + 79 + 97 + 84 + 92) / 7 ≈ 87.57
For Nancy:
(96 + 68 + 91 + 94 + 69 + 99 + 92) / 7 ≈ 87.57
Both students have the same average grade of approximately 87.57. Therefore, statement 1 is FALSE.
2. Nancy's lowest grade is higher than Drew's lowest grade.
To determine this statement's accuracy, we need to identify the lowest grade for each student.
For Drew, the lowest grade is 79.
For Nancy, the lowest grade is 68.
Nancy's lowest grade (68) is indeed higher than Drew's lowest grade (79). Therefore, statement 2 is TRUE.
3. Drew's highest grade is lower than Nancy's highest grade.
To determine this statement's accuracy, we need to identify the highest grade for each student.
For Drew, the highest grade is 97.
For Nancy, the highest grade is 99.
Drew's highest grade (97) is lower than Nancy's highest grade (99). Therefore, statement 3 is TRUE.
Based on our analysis, the statements that are true about the data are:
- Statement 2: Nancy's lowest grade is higher than Drew's lowest grade.
- Statement 3: Drew's highest grade is lower than Nancy's highest grade.