Answer:

To find the mean, median, mode, and range of the given data (106, 102, 115, 101, 120, 102, 115, 116, 102), we can use the following methods:

Mean:

To find the mean, we need to sum up all the values and divide by the total number of values.

(106 + 102 + 115 + 101 + 120 + 102 + 115 + 116 + 102) / 9 = 99.89 (approximately)

Median:

The median is the middle value in a dataset when arranged in numerical order.

First, let's arrange the data in numerical order:

101, 102, 102, 102, 106, 115, 115, 116, 120

Since there are 9 values, the middle value will be the (9 + 1) / 2 = 10 / 2 = 5th value.

The median is 106.

Mode:

The mode is the value(s) that appear(s) most frequently in a dataset.

In this case, the values 102 and 115 appear most frequently (3 times each). Therefore, the mode is 102 and 115.

Range:

The range is the difference between the largest and smallest values in a dataset.

In this case, the smallest value is 101 and the largest value is 120.

The range is 120 - 101 = 19.

Mean: 99.89

Median: 106

Mode: 102 and 115

Range: 19