Question

Find the mean, median, and mode for the following data set:

$1.04, $1.91, $3.69, $0.89, $2.87, $2.38, $1.34, $1.29, $2.34, 53.27, $3.75, $1.91, 50.89,

Answer 1

To find the mean, median, and mode for the given data set, we first need to convert the values to numerical form:

1.04, 1.91, 3.69, 0.89, 2.87, 2.38, 1.34, 1.29, 2.34, 53.27, 3.75, 1.91, 50.89

Converted to numerical form:
1.04, 1.91, 3.69, 0.89, 2.87, 2.38, 1.34, 1.29, 2.34, 53.27, 3.75, 1.91, 50.89

1. Calculate the mean:
Mean = (1.04 + 1.91 + 3.69 + 0.89 + 2.87 + 2.38 + 1.34 + 1.29 + 2.34 + 53.27 + 3.75 + 1.91 + 50.89) / 13
Mean = 72.57 / 13
Mean ≈ 5.58

The mean of the data set is approximately $5.58.

2. Calculate the median:
First, we need to arrange the data set in ascending order:

0.89, 1.04, 1.29, 1.34, 1.91, 1.91, 2.34, 2.38, 2.87, 3.69, 3.75, 50.89, 53.27
Since there are 13 values in the data set, the median is the middle value:
Median = 2.38

The median of the data set is $2.38.

3. Calculate the mode:
The mode is the value that appears most frequently in the data set.
In this case, the mode is 1.91, as it appears twice.

Therefore, the mode of the data set is $1.91.