Question

15. For what value of x, is the mode of the following data is 17?
15, 16, 17, 14,17 16, 13, x, 17, 16, 15, 15​

Answer 1

Answer:

• The value of x is 17.

Step-by-step explanation:

Given that:

• The mode of the following data is 17.
• Data: 15, 16, 17, 14, 17, 16, 13, x, 17, 16, 15, 15

To Find:

• The value of x.

• Number of 13 in the data = 1
• Number of 14 in the data = 1
• Number of 15 in the data = 3
• Number of 16 in the data = 3
• Number of 17 in the data = 3

∴ The value of x should be 17 for making the mode of the following data as 17.

Q: What is mode?

The most common value among the given set of data is known as mode.

Example: Data: 3, 3, 3, 4, 5, 5, 6, 7, 8, 8

In this set of data the most common value is 3.

Therefore, The mode of this set of data is 3.

Answer 2

Question:-

• For what value of x, is the mode of the following data is 17 , 15 , 16 , 17 , 14 , 17 , 16 , 13 , x , 17 , 16 , 15 , 15

To Find:-

• Find the value of x

Solution:-

Given ,

• The mode of data is 17

• Data is 17 , 15 , 16 , 17 , 14 , 17 , 16 , 13 , x , 17 , 16 , 15 , 15

Here ,

• 15 , 16 , 17 are repeating 3 times and given that 17 is the mode then atleast more than one time 17 should repeat.

Hence ,

• $\sf \: The \: value \: of \: x \: is \: 17$