Questions: Birth Weights (grams) 4000, 3300, 3400, 3100, 3600, 1500, 3500, 3200, 2800, 2900, 2700, 3700, 2900, 3800, 3200, 2700, 3300, 3700, 2400, 3500, 3500, 3400, 1800, 3500, 3100, 4000, 2600, 1600, 1800, 2400, 3300, 2900, 2400, 3700, 3600, 3700, 2700, 2800, 4200, 3600, 3400, 3600, 2800, 4300, 3300, 2800, 3900, 2600, 2600, 3400. Find the mean and median and round to one decimal place

Solution Steps

To find the mean and median of the given birth weights, we will first organize the data into a list. The mean is calculated by summing all the values and dividing by the number of values. The median is found by sorting the list and selecting the middle value (or the average of the two middle values if the list has an even number of elements). Finally, we will round both the mean and median to one decimal place.

The birth weights are given as a list of values. We will use this list to calculate the mean and median.

The mean is calculated by summing all the birth weights and dividing by the number of weights. The formula for the mean is:

\[ \text{Mean} = \frac{\sum_{i=1}^{n} x_i}{n} \]

where \( x_i \) are the individual birth weights and \( n \) is the total number of weights. For the given data:

\[ \text{Mean} = \frac{4000 + 3300 + 3400 + \ldots + 3400}{50} = 3130.0 \]

To find the median, we first sort the list of birth weights. Since there are 50 values (an even number), the median is the average of the 25th and 26th values in the sorted list. After sorting, the 25th and 26th values are both 3300.

\[ \text{Median} = \frac{3300 + 3300}{2} = 3300.0 \]

Final Answer