Question

rhonda will calculate the mean, median, mode, and range of the data for the first 7 days. she will then recalculate the mean, median, mode, and range of the data for all 8 days. which two measures will change the least or not at all? a. mean and median b. median and range c. mode and range d. median and mode e. mode and mean

Explanation:

Step1: Understand mean

The mean is the sum of all data - points divided by the number of data - points. Adding one more data - point can significantly change the sum and thus the mean.

Step2: Understand median

The median is the middle value when the data is arranged in ascending or descending order. For a set of 7 data - points, the median is the 4th value. For 8 data - points, it is the average of the 4th and 5th values. If the new data - point is not an extreme value, the median may change very little or not at all.

Step3: Understand mode

The mode is the most frequently occurring value. If the new data - point is not the same as the existing mode or does not create a new mode with higher frequency, the mode may change very little or not at all.

Step4: Understand range

The range is the difference between the maximum and minimum values. Adding one new data - point can potentially change the maximum or minimum value, thus changing the range.

Answer:

D. Median and mode