Write a short note on compute mean, median and mode for the following data : 46, 22, 22, 32, 41, 50, 10.

To compute the mean, median, and mode for the given data set: 46, 22, 22, 32, 41, 50, 10, we follow these steps:

Mean:
To find the mean, we sum up all the values in the data set and divide by the total number of values.

Mean = (46 + 22 + 22 + 32 + 41 + 50 + 10) / 7
= 223 / 7
= 31.86 (rounded to two decimal places)

So, the mean of the given data set is approximately 31.86.

Median:
To find the median, we arrange the data set in ascending order and find the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

Arranging the data set in ascending order: 10, 22, 22, 32, 41, 46, 50

Since there are 7 values in the data set, the median is the fourth value, which is 32.

So, the median of the given data set is 32.

Mode:
To find the mode, we identify the value(s) that occur most frequently in the data set.

In the given data set, the value 22 occurs twice, which is more frequent than any other value.

So, the mode of the given data set is 22.

In summary, for the data set 46, 22, 22, 32, 41, 50, 10:

• Mean ≈ 31.86
• Median = 32
• Mode = 22