Answer:

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Answer:

To find the mean, median, mode, and range of the given data set [12, 15, 25, 18, 15, 12, 23, 40, 65], we can perform the following calculations:

1. Mean:

The mean (or average) is calculated by summing up all the values in the data set and then dividing by the total number of values.

Mean = (12 + 15 + 25 + 18 + 15 + 12 + 23 + 40 + 65) / 9

= 225 / 9

= 25

Therefore, the mean of the given data set is 25.

2. Median:

The median is the middle value of a sorted data set. To find the median, we first need to arrange the values in ascending order.

Arranged data set: [12, 12, 15, 15, 18, 23, 25, 40, 65]

Since there are 9 values in the data set, the median will be the middle value, which is the 5th value.

Median = 18

Therefore, the median of the given data set is 18.

3. Mode:

The mode is the value(s) that appear(s) most frequently in the data set.

In the given data set, the mode is 12 and 15 because both values appear twice, while the other values appear only once.

Therefore, the mode of the given data set is 12 and 15.

4. Range:

The range is the difference between the maximum and minimum values in the data set.

Maximum value = 65

Minimum value = 12

Range = Maximum value - Minimum value

= 65 - 12

= 53

Therefore, the range of the given data set is 53.

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