The table shows the number of hours that a group of students spent studying for the SAT during their first week of preparation. The students each add 4 hours to their study times in the second week. What are the mean, median, mode, and range of times for the second week? Student Hours Bob 19 James 10 Karen 15 Rosario 17 Antoine 10 Julio 16 Maria 13 (1 point) Responses mean = 14 median = 19 mode = 18.3 range = 9 mean = 14 median = 19 mode = 18.3 range = 9 mean = 18.3 median = 19 mode = 14 range = 9 mean = 18.3 median = 19 mode = 14 range = 9 mean = 19 median = 18.3 mode = 14 range = 0.7 mean = 19 median = 18.3 mode = 14 range = 0.7 mean = 18.3 median = 19 mode = 14 range = 0.7

Question

The table shows the number of hours that a group of students spent studying for the SAT during their first week of preparation. The students each add 4 hours to their study times in the second week. What are the mean, median, mode, and range of times for the second week? Student Hours Bob 19 James 10 Karen 15 Rosario 17 Antoine 10 Julio 16 Maria 13 (1 point) Responses mean = 14 median = 19 mode = 18.3 range = 9 mean = 14 median = 19 mode = 18.3 range = 9 mean = 18.3 median = 19 mode = 14 range = 9 mean = 18.3 median = 19 mode = 14 range = 9 mean = 19 median = 18.3 mode = 14 range = 0.7 mean = 19 median = 18.3 mode = 14 range = 0.7 mean = 18.3 median = 19 mode = 14 range = 0.7

Answer 1

To determine the mean, median, mode, and range for the second week, each student's study time needs to be increased by 4 hours. Let's begin by adjusting each student's study hours:

Bob: 19 + 4 = 23
James: 10 + 4 = 14
Karen: 15 + 4 = 19
Rosario: 17 + 4 = 21
Antoine: 10 + 4 = 14
Julio: 16 + 4 = 20
Maria: 13 + 4 = 17

Now we can recalculate the statistics with the updated numbers:

Mean (average) is calculated by summing the study hours and dividing by the number of students:

Mean = (23 + 14 + 19 + 21 + 14 + 20 + 17) / 7
Mean = 128 / 7
Mean ≈ 18.3 hours

Median (middle value when arranged in ascending order):

Ascending order: 14, 14, 17, 19, 20, 21, 23
Since there are 7 values, the median is the fourth value:
Median = 19 hours

Mode (most frequent value):

14 appears twice, and all other values appear only once. Therefore, there is one mode:
Mode = 14 hours

Range (difference between the highest and lowest value):

Range = Maximum value - Minimum value
Range = 23 - 14
Range = 9 hours

The correct set of statistics for the second week of study times is:

- Mean = 18.3
- Median = 19
- Mode = 14
- Range = 9

Based on the options you provided, none of them exactly match the correct calculations. However, if we're going by approximation, the closest option is:

mean = 18.3
median = 19
mode = 14
range = 9

Please ensure that the list of options you provided is accurate and complete, as none exactly match our calculations. If you need the precise values, please refer to the calculated statistics above.