The numbers of students in the 7 schools in a district are given below.(Note that these are already ordered from least to greatest.)213, 220, 251, 252, 306, 320, 370Suppose that the number 213 from this list changes to 115. 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.

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.

The monthly rents (in dollars) paid by 7 people are given below.(Note that these are already ordered from least to greatest.)905, 930, 935, 960, 985, 1025, 1190Suppose that one of the people moves. His rent changes from $1190 to $1015.Answer the following.(a)   What happens to the median? It decreases by$.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 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.

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 sum of the data changes.    Yes, the number of data values changes.Yes, changing the extreme data values affects the mean.No, the number of data values does not change.(b) Does the median change? Explain.Yes, the sum of the data changes.No, the sum of the data does not change.    No, the number of data values does not change.No, changing the extreme data values does not affect the median.Yes, the number of data values changes.(c) Is it possible for the mode to change? Explain.Yes, depending on the range of the data values.No, the only change is an increased frequency of 1 for the extreme 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.Yes, depending on the number a data values.