Based on the following calculator output, determine the mean of the dataset, rounding to the nearest 100th if necessary.
1-Var-Stats1-Var-Stats
x, with, \bar, on top, equals, 63, point, 1, 4, 2, 8, 5, 7, 1, 4, 2, 9
x
ˉ
=63.1428571429
\Sigma, x, equals, 442Σx=442
\Sigma, x, squared, equals, 28266Σx
2
=28266
S, x, equals, 7, point, 7, 1, 2, 0, 8, 0, 8, 1, 3, 6, 4Sx=7.71208081364
sigma, x, equals, 7, point, 1, 3, 9, 9, 9, 9, 4, 2, 8, 3, 4σx=7.13999942834
n, equals, 7n=7
minX, equals, 48minX=48
Q, start subscript, 1, end subscript, equals, 58Q
1
​
=58
Med, equals, 66Med=66
Q, start subscript, 3, end subscript, equals, 69Q
3
​
=69
maxX, equals, 69maxX=69

The mean (average) of the dataset is represented by \(\bar{x}\) in the calculator output, which is already given as:

\[
\bar{x} = 63.1428571429
\]

Since the problem asks to round the mean to the nearest hundredth, we round \(63.1428571429\) to two decimal places.

\[
\bar{x} \approx 63.14
\]

Thus, the mean of the dataset, rounded to the nearest hundredth, is \(63.14\).

Do you want more details or have any questions?

Here are 5 follow-up questions for further exploration:
1. How do you calculate the mean of a dataset manually?
2. What is the difference between the mean and median of a dataset?
3. How does standard deviation relate to the spread of the data?
4. What does the first quartile (\(Q_1\)) represent in a dataset?
5. How would rounding to different decimal places affect the accuracy of the mean?

**Tip:** Always double-check your rounding by considering the digit immediately after the place value you're rounding to.

Learn how to calculate the mean (average) of a dataset rounded to the nearest hundredth. Understand the concept of rounding in mathematical calculations with an example dataset. Suitable for students in Grades 6-8.

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