The monthly rents (in dollars) paid by 9 people are given below.(Note that these are already ordered from least to greatest.)940, 960, 975, 1005, 1035, 1045, 1120, 1130, 1195Suppose that one of the people moves. His rent changes from $940 to $1075.Answer the following.(a)   What happens to the median? It decreases by$.It increases by$.It stays the same.(b)   What happens to the mean? It decreases by$.It increases by$.It stays the same.

he weekly salaries (in dollars) for 8 employees of a small business are given below.(Note that these are already ordered from least to greatest.)449, 689, 758, 782, 809, 847, 940, 1046Suppose that the $449 salary changes to $665. Answer the following.(a)   What happens to the median? It decreases by$.It increases by$.It stays the same.(b)   What happens to the mean? It decreases by$.It increases by$.It stays the same.

The numbers of students in the 7 schools in a district are given below.(Note that these are already ordered from least to greatest.)193, 244, 252, 263, 277, 335, 389Suppose that the number 389 from this list changes to 340. Answer the following.(a)   What happens to the median? It decreases by.It increases by.It stays the same.(b)   What happens to the mean? It decreases by.It increases by.It stays the same.

The numbers of trading cards owned by 9 middle-school students are given below.(Note that these are already ordered from least to greatest.)270, 414, 417, 434, 437, 444, 466, 474, 514Suppose that the number 270 from this list changes to 369. Answer the following.(a)   What happens to the mean? It decreases by.It increases by.It stays the same.(b)   What happens to the median? It decreases by.It increases by.It stays the same.

Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by 10.(a) Does the mean change? Explain.No, the sum of the data does not change.Yes, the number of data values changes.    No, the number of data values does not change.Yes, changing the extreme data values affects the mean.Yes, the sum of the data changes.(b) Does the median change? Explain.Yes, the sum of the data changes.No, changing the extreme data values does not affect the median.    Yes, the number of data values changes.No, the sum of the data does not change.No, the number of data values does not change.(c) Is it possible for the mode to change? Explain.Yes, depending on the range of the data values.No, all values will still occur at the same frequency.    Yes, depending on which data value occurs most frequently after the data are changed.No, the only change is an increased frequency of 1 for the extreme values.Yes, depending on the number a data values.

The weight of 12 students(in kg) are:40, 61, 54, 50, 59, 37, 51, 41, 48, 62, 46 and 34.(i) Calculate the mean weight and the median weight.(ii) After 6 months the weight of each student increases by 4 kg, find thenew mean weight.(iii) If the weight of one students was misread as 34 instead of 28, findthe correct median weight.