We have to determine the value of x, when the mode of given data is 17. Mode of the given data is 17 which is only possible when the value of x would be 17. So the value of x will be equal to 17 which gives the mode of given data as 17.
To find the mode, we count the frequency of each value:
15: 3 times
16: 3 times
17: 3 times
14: 1 time
13: 1 time
15/x - 1/2: 1 time
Here, we can see that the value 17 appears three times, which is the highest frequency among all the values.Therefore, the mode is 17.
Now, we need to find the value of x such that the mode is 17. From the given data, we can see that there are three occurrences of 17.
To have the mode as 17, we need to add at least one more occurrence of 17 to the data set. This means that the value 17 needs to appear four times in the data set.
Let's consider the term 15/x - 1/2. Since this term appears only once in the data set, we can set it equal to 17:
15/x - 1/2 = 17
To solve this equation for x, we can first simplify it:
15/x = 17 + 1/2
15/x = 17.5
Now, we can cross multiply:
15 = 17.5x
Dividing both sides by 17.5, we get:
x = 15/17.5
Simplifying this, we find:
x = 0.857
Therefore, the value of x for which the mode of the given data is 17 is approximately x = 0.857. It does not equal 28 as you mentioned. Please double-check your calculations.
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Answer:
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Step-by-step explanation:
We have to determine the value of x, when the mode of given data is 17. Mode of the given data is 17 which is only possible when the value of x would be 17. So the value of x will be equal to 17 which gives the mode of given data as 17.
Answer:
To find the value of x for which the mode of the given data is 17, we need to determine which value appears most frequently in the data set.
Given data: 15, 16, 17, 14, 17, 16, 13, 15/x - 1/2, 17, 16, 15, 15
To find the mode, we count the frequency of each value:
15: 3 times
16: 3 times
17: 3 times
14: 1 time
13: 1 time
15/x - 1/2: 1 time
Here, we can see that the value 17 appears three times, which is the highest frequency among all the values.Therefore, the mode is 17.
Now, we need to find the value of x such that the mode is 17. From the given data, we can see that there are three occurrences of 17.
To have the mode as 17, we need to add at least one more occurrence of 17 to the data set. This means that the value 17 needs to appear four times in the data set.
Let's consider the term 15/x - 1/2. Since this term appears only once in the data set, we can set it equal to 17:
15/x - 1/2 = 17
To solve this equation for x, we can first simplify it:
15/x = 17 + 1/2
15/x = 17.5
Now, we can cross multiply:
15 = 17.5x
Dividing both sides by 17.5, we get:
x = 15/17.5
Simplifying this, we find:
x = 0.857
Therefore, the value of x for which the mode of the given data is 17 is approximately x = 0.857. It does not equal 28 as you mentioned. Please double-check your calculations.
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