Question

find the mode of the data 3,16,12,14,12,11​

Answer 1

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GiveN Data:

• 3, 16, 12, 14, 12, 11

To FinD:

• Mode of the given data.

Step-wise-Step Explanation:

Mode of a given data is the highest no. of times a particular event in a given data. Let's see the no. of times the numbers occurs:

• 3 - 1 time
• 16 - 1 time
• 12 - 2 times
• 14 - 1 time
• 11 - 1 time

The highest number of times 12 occured in the data i.e. 2 times and rest of them occured only once. Mode of the data is 12 (Answer).

Explore more!!

• Median is the middle of an data when the numbers are arranged in ascending and descending order.

• Mean is the average of all numbers in the data. It can be found by dividing the sum by total no. of numbers.

Answer 2

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Given:

• 3,16,12,14,12,11.

To find:

• Mode of given data.

Solution:

A set of data may have one mode, more than one mode, or no mode at all.

→ The mode is the value that appears most frequently in a data set.

So, let's find the value appearing most frequent in the given set.

Set: 3,16,12,14,12,11.

Let's count the number of times each value appearing:

• 3: 1 time.
• 16: 1 time.
• 12: 2 times.
• 14: 1 time.
• 11: 1 time.

So, we counted all the times of appearing of each value given in the data.

Thus, The value appearing most frequent times is 12.

→ Mode of data: 12.