consider the data set given below 22, 40, 11, 50, 34, 55, 24, 22, 29, 43, 26 a)

Question

consider the data set given below 22, 40, 11, 50, 34, 55, 24, 22, 29, 43, 26 a) Find the minimum value or the data set: b) Find the maximum value of the data set: c) Find the arithmetic mean of the data set: d)Find the median of the data set: Let's include one more data point in the data set. Suppose this new data value lies between the values 11 and 55, inclusively. e)Find the smallest possible value of the mean of the new data set: f)Find the largest possible value of the mean of the new data set: g)Find the smallest possible value of the median of the new data set: h)Find the largest possible value of the median of the new data set:

Explanation / Answer

a) from above data minimum value=11

b)maximum value =55

c)arithmatic mean =sum of above numbers/total numbers =356/11 =32.36

d)after putting data into ascending order

median =(n+1)/2 th value =(11+1)/2 th value =6th value =29

e) for smallest value ; new point should be 11

mean =367/12=30.58

f) for largest value ; new data point should be 55.

hence mean =411/12=34.25

g)for smallest median value ; new data point should be 29.

hence median =29

h) for largest median =(29+34)/2 =.31.5

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