The data 29,32,48,2x+4,72, 78,84 is in ascending order and has median 64. Find the value of x.
Answers
Answer:
If the median of the data 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 63, the value of x = 62.
Step-by-step explanation:
It can be observed that the total number of observations in the given data 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 10 (even number). Therefore, the median of this data will be the average of 10/2 i.e., 5th and 10/2 + 1 i.e., 6th observation.
Therefore, median of the data = (5th observation + 6th observation) / 2
⇒ 63 = (x + x + 2) / 2
⇒ 63 = (2x + 2) / 2
⇒ 63 = x + 1
∴ x = 62
x:62
Step-by-step explanation:
It can be observed that the total number of observations in the given data 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 is 10 (even number). Therefore, the median of this data will be the average of 10/2 i.e., 5th and 10/2 + 1 i.e., 6th observation.
Therefore, median of the data = (5th observation + 6th observation) / 2
⇒ 63 = (x + x + 2) / 2
⇒ 63 = (2x + 2) / 2
⇒ 63 = x + 1
x : 63