find the mode of the following data 8,10,15,10,12,8,15,10,8,10,12,13
Answers
Answer:
The mode is the value which occurs the most often in a given set of data.
In the data set provided here, the mode is 15, hence 15 should occur the most number of times.
10,11,12,10,15,14,15,13,12,x,9,7
Excluding x and arranging these numbers in ascending order,
7,9,10,10,11,12,12,13,14,15,15
Here 10, 12 and 15 are occurring twice.
Since 15 is the mode, it should occur more than twice.
Therefore, the value of x should be 15 if the value of mode is 15.
Explanation:
The mode of the given data will be 10.
Given,
Data:
8, 10, 15, 10, 12, 8, 15, 10, 8, 10, 12, 13.
To find,
Mode of the given data.
Solution,
The mode of a given data can be defined as a number or value which occurs most frequently or a maximum number of times.
So, the data given here is:
8, 10, 15, 10, 12, 8, 15, 10, 8, 10, 12, 13.
From the data, it can be observed that,
8 appears 3 times,
10 appears 4 times,
15 appears 2 times,
12 appears 2 times, and,
13 appears 1 time.
We can see from above that 10 appears a maximum number of times (4 times).
⇒ mode = 10.
Therefore, the mode of the given data will be 10.