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Question 7 of 15 (1 point) | Question Attempt: 1 of Unlimited
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1.)
A group of 5 students was asked, “How many hours did you watch television last week?” Here are their responses.
Find the mean and median number of hours for these students.
If necessary, round your answers to the nearest tenth.
(a) Mean: hours
(b) Median: hours
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(2)
Mar 12
11:22

Ask by Schmidt Donnelly. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Mean: 12.4 hours
Median: 12.0 hours

Solution

To find the mean and median number of hours for the students, we need to follow these steps:
  1. Calculate the mean:
    • Add up all the hours watched by the students.
    • Divide the total hours by the number of students.
  2. Calculate the median:
    • Arrange the hours watched in ascending order.
    • If the number of students is odd, the median is the middle value.
    • If the number of students is even, the median is the average of the two middle values.
Given responses:
  1. Calculate the mean:
    • Total hours = 19 + 10 + 12 + 15 + 6 = 62
    • Mean = Total hours / Number of students = 62 / 5 = 12.4 hours
  2. Calculate the median:
    • Arrange the hours in ascending order: 6, 10, 12, 15, 19
    • Since the number of students is odd, the median is the middle value, which is 12 hours
Therefore, the mean number of hours is 12.4 hours and the median number of hours is 12 hours.

Answered by UpStudy AI and reviewed by a Professional Tutor

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Mind Expander

To find the mean, add all the hours watched: . Divide this by the number of students, : hours. So the mean is hours! For the median, arrange the responses: . The middle value (third in a list of five) is hours. Therefore, the median is hours.
Now that you’ve tackled mean and median, let’s break the record of common mistakes! A frequent error is to confuse the mean with the median, especially when outliers skew the average. Always remember to check your data organization when calculating the median; if it’s not sorted, you’ll end up with a wrong value. It’s like trying to find a lost sock in a messy drawer—organization is key!
If you’re keen on elevating your statistical skills, dive into “How to Measure Anything” by Douglas W. Hubbard. This fun read not only demystifies statistics but also illustrates their relevance in decision-making, making numbers less daunting! Plus, you’ll gain insight into how quantifying seemingly unmeasurable things can lead to profound discoveries.

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