Consider the following data set: 4, 6, 8, 8, 10, 13 Without calculating the stat

Question

Consider the following data set: 4, 6, 8, 8, 10, 13 Without calculating the statistics, describe what would happen in each case.

(a) The 13 is replaced by a 26. The mean would increase, The median would stay the same, The standard deviation would increase or All of these are true.

(b) The 4 becomes a 2 and the 13 becomes a 15. The standard deviation would increase, The median would increase, The mean would increase or All of these are true.

(c) One of the 8's is replaced by a 15. The mode would disappear, The mean would change, The median would change or All of these are true.

Explanation / Answer

Mean :- sum of data divided by total size of data.

Median :- It is nothing but the middle value of data set.

Mode :- maximum time repeat the value is mode.

Given data set :- 4,6,8,8,10,13

a) The 13 is replaced by a 26 :- All of these are true.

b) The 4 becomes a 2 and the 13 becomes a 15 :- The standard deviation would be increase.

c) One of the 8's is replaced by a 15 :- All of these are true.

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