Question

) The values in data set are 95, 93, 91, 95, 100, 99, and 92. What value can be added to set so that mean mode and median remain same?​

Answer 1

The value that can be added to the data set (95, 93, 91, 95, 100, 99, 92) so that the mean, mode, and median remain the same is 95.

Step-by-step explanation:

First, let's calculate the mean, median and mode of the original data set: 95, 93, 91, 95, 100, 99, 92. The mean is the sum of all values divided by the number of values, the median is the middle value when the data is arranged in ascending or descending order, and the mode is the most frequently occurring value.

The sum of the numbers is 565 and there are 7 values so the mean is 565 ÷ 7 = 80.71. The numbers in ascending order are 91, 92, 93, 95, 95, 99, 100, and since there is an odd number of values, the median is the middle value, which is also 95. The mode is 95 as it appears twice while all other values appear once.

So, for the mean, median, and mode to remain unchanged after adding a new value, the new value should be 95. This preserves the mode, keeps the median in the middle and maintains the same average value.

Learn more about Mean, Median, Mode