Here is what they answered. 15, 14, 12, 7, 15, 5, 6, 5 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth. (a) Mean: (b) Median:

Question

The 

students in Mrs. Anderson's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered.15, 14, 12, 7, 15, 5, 6, 5

Find the mean and median travel times for these students.

If necessary, round your answers to the nearest tenth.

(a) Mean:
(b) Median:

Answer 1

median = middle two numbers averaged = (12+7)/2 = 19/2 = 9.5

mean = sum/# of numbers = sum/n = (15+15+14+12+7+6+5+5)/8 = 79/8 = 9.875

mean > median as distribution is skewed slightly to the right

it's bimodal with 2 modes: 5 and 15

midrange = 1/2 range = 5

midway = min+5 = 5+5 = max-5 = 15-5 = (15+5)/2 = 10 = average of max & min

Answer 2

Okay, let's calculate the mean and median for the given travel times:

Data Set: 15, 14, 12, 7, 15, 5, 6, 5

(a) Mean:

1. Sum of the values: 15 + 14 + 12 + 7 + 15 + 5 + 6 + 5 = 79
2. Number of values: 8
3. Mean: 79 / 8 = 9.875
4. So, the mean travel time is 9.875 tminutes.

(b) Median:

1. Arrange the values in ascending order: 5, 5, 6, 7, 12, 14, 15, 15
2. Since there are an even number of values (8), the median is the average of the two middle values: The two middle values are 7 and 12.
3. Median: (7 + 12) / 2 = 19 / 2 = 9.5
4. So, the median travel time is 9.5 minutes.