FelixElliotte
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(PLEASE HELP!) Laila is training for a bike-a-thon. The list below shows the number of miles that Laila rode her bike on each of the nine consecutive days.
Day 1: 3. Day 2: 6. Day 3: 9. Day 4: 8. Day 5: 7. Day 6: 10. Day 7: 10. Day 8: 12. Day 9: 7.

Part A: Using the data above, create a box-and-whisker plot on the number line. Be sure to label all of the quartiles (Q1, Q2, Q3). (Image provided)

Part B: Calculate the mean (average) of the given list. Show your work.

Part C: If Laila rides 15 miles on the 10th day, how does that change the mean (average)? Explain your answer.

Respuesta :

AnsweringGod

Answer:

Part A: The box-and-whisker plot for Laila's bike-a-thon data is as follows:

- Q1 (Lower Quartile) = 7

- Q2 (Median) = 8

- Q3 (Upper Quartile) = 10

___________ 3.__ 6. __ 7. __7__ __8.__ __9.__ __10.__ __10.__ 12.

         |------------------------|----------------------|

         Lower Fence              Upper Fence

Part B: To calculate the mean (average) of the given list, you add up all the values and divide by the total number of days:

Mean = (3 + 6 + 9 + 8 + 7 + 10 + 10 + 12 + 7) / 9

Mean = 72 / 9 = 8 miles

Part C: If Laila rides 15 miles on the 10th day, you recalculate the mean by adding the new value and dividing by the increased total number of days:

New Total = 72 (previous total) + 15 (miles on the 10th day) = 87

New Mean = 87 / 10 = 8.7 miles

Step-by-step explanation:

By adding 15 miles on the 10th day, the average mileage per day increases significantly from 8 to 8.7 miles. This is because the new total distance ridden is higher, leading to a higher average. In essence, adding a larger value to the dataset increases the mean, reflecting the impact of the outlier on the overall average.

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