During an experiment, the temperature of a liquid was measured several

The sum has to be divisible by 5. We have 21 in the set which is not divisible by 5 rest all are divisible by 5. Only answer choice which when added to 21 is 34 to make both divisible by 5.

We can create the equation:

(21 + 25 + x + 40 + 50)/5 = x

136 + x = 5x

136 = 4x

34 = x

Answer: A

\(mean = median\)

\(21 + 25 + 40 + 50 + x = 5x\)

\(136 + x = 5x\)

\(136 = 4x\)

\(34 = x\)

Answer is A.

CONCEPT: Mean=sum of observations / Number of observations
Median= Middle value among a set of numbers

Mean here = 21+25+x+40+50 / 5
Median= x

According to the question;
21+25+x+40+50 / 5 = x
=>136+x=5x
=>x=34 (A)

Hope this helps. Keep studying:)
Devmitra Sen

To find the value of x, we need to determine the median of the temperatures. Since the arithmetic mean is equal to the median, the median will be the average of the two middle values when the temperatures are arranged in ascending order.

The temperatures in increasing order: 21, 25, x, 40, 50

Since we have an odd number of temperatures (5 in total), the median will be the middle value, which is x.

Therefore, x is the median of the temperatures.

To find the arithmetic mean, we sum up all the temperatures and divide by the total count:

Mean = (21 + 25 + x + 40 + 50) / 5

Since the mean is equal to the median, we can set up the equation:

(21 + 25 + x + 40 + 50) / 5 = x

Now we solve for x:

21 + 25 + x + 40 + 50 = 5x
136 + x = 5x
136 = 4x
x = 136 / 4 = 34

Therefore, the value of x is (A) 34.