Write a short note on compute mean, median and mode for the following data : 28, 32, 40, 37, 38, 10, 12.

To compute the mean, median, and mode for the given data set {28, 32, 40, 37, 38, 10, 12}, we follow these steps:

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 = (28 + 32 + 40 + 37 + 38 + 10 + 12) / 7
Mean = 197 / 7
Mean ≈ 28.14

Median:
The median is the middle value of the data set when arranged in ascending order. If the number of values is odd, the median is simply the middle value. If the number of values is even, the median is the average of the two middle values.

Arranging the data set in ascending order:
10, 12, 28, 32, 37, 38, 40

Since the number of values is odd (7), the median is the middle value, which is the fourth value: 32.

Mode:
The mode is the value that appears most frequently in the data set. A data set may have one mode (unimodal), two modes (bimodal), or more than two modes (multimodal).

In this data set, there is no value that appears more than once. Therefore, the data set is considered to have no mode.

In summary:

• Mean: Approximately 28.14
• Median: 32
• Mode: None

These measures provide different insights into the central tendency of the data set. The mean represents the average value, the median represents the middle value, and the mode represents the most frequently occurring value. In this case, the data set has a mean close to 28, indicating that the values are approximately centered around this value, while the median confirms that 32 is the middle value. Since no value appears more than once, the data set has no mode.