Question

The data from the image you provided is as follows:

0.34, 0.31, 0.58, 0.34, 0.67, 0.70, 0.63, 0.32, 0.43, 0.32, 0.46, 0.66, 0.54, 0.38, 0.31, 0.68, 0.31, 0.62, 0.55, 0.34

Let’s calculate the mean, median, and mode of this data set.

Mean: The mean is calculated by adding all the numbers in the data set and then dividing by the number of values in the set.

Median: The median is the middle value when a data set is ordered from least to greatest.

Mode: The mode is the number that occurs most frequently in a data set.

Answer 1

Mean = (0.34 + 0.31 + 0.58 + 0.34 + 0.67 + 0.70 + 0.63 + 0.32 + 0.43 + 0.32 + 0.46 + 0.66 + 0.54 + 0.38 + 0.31 + 0.68 + 0.31 + 0.62 + 0.55 + 0.34) / 20
Mean = 0.49

To find the median, we need to first order the data set:
0.31, 0.31, 0.32, 0.32, 0.34, 0.34, 0.34, 0.38, 0.43, 0.46, 0.55, 0.58, 0.62, 0.63, 0.66, 0.67, 0.68, 0.70

Since there are 20 values, the median is the average of the 10th and 11th data points:
Median = (0.46 + 0.55) / 2
Median = 0.505

The mode is the number that occurs most frequently:
Mode = 0.31

Therefore, the mean of the data set is 0.49, the median is 0.505, and the mode is 0.31.