find the data 1 5 7 x+1 9 x-23 if the mean is 4 find the value of x and find the mode
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Given data is 1,5,7,x + 1, 9, x - 2 and 3.
Here, Total number of observations = 7.
Given mean = 4.
We know that mean = (sum of observations)/(Total number of observations).
⇒ 4 = (1 + 5 + 7 + x + 1 + 9 + x - 2 + 3)/7
⇒ 4 = (2x + 24)/7
⇒ 28 = 2x + 24
⇒ 2x = 4
⇒ x = 2.
So,
⇒ x + 1 = 3
⇒ x - 2 = 0.
Now,
The new data is 1,5,7,3,9,0,3.
We know that mode is the number which appears often in a set of numbers.
In the above list, the number 3 occurs most often.
Therefore, the mode is 3.
Hope this helps!
Explanation:
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