Question

.1.28-E E Question Help Refer to the data set of birth weights (grams) of the 44 babies given in the accompanying table and use software or a calculator to find the mean and median. Examine the list of birth weights to make an observation about those numbers. How does that observation affect the way that the results should be rounded? EEB Click the icon for the birth weight data The mean of the data set is grams. Round to one decimal place as needed.) Birth Weights (grams) 3000 3300 1900 3600 2700 2400 2800 2600 2900 2900 3200 3400 3200 2800 2900 3300 4600 2400 4600 3400 2900 3400 1500 3600 4900 3400 3700 2900 1600 2600 3400 3700 1700 2900 3100 2900 4100 2700 3600 3600 2800 3100 2200 3200

Answer 1

a) Since we know that
$Mean(\bar{x}) = \frac{\sum_{i=1}^n x_i}{n}$
Where n is the number of data points
Now
$\sum_{i=1}^n x_i = 135400.0$
and n = 44
This implies that
$\\Mean(\bar{x}) = \frac{135400.0}{44} \\Mean(\bar{x}) = 3077.2727$
b) Since we know that
Median for a list of even number of data point is the mean of 2 middle most values if we sort the list in increasing order while for a list of odd number it is the middle most value if the list is sorted in increasing order.
Since our list have even number of data points, this implies that
Median = 3050.0
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Answer 2

The mean of the data set is

 

grams.