Consider the data set given below: a)Find the minimum value of the data set: b)F

Question

Consider the data set given below:

a)Find the minimum value of 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 13 and 50, 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. Minimum value is 13

b. Maximum value is 50

c. Mean is 26.45455

d. Meadian is 23

e. Smallest mean can be obtained by adding 14 as new number lies between 13 to 50. So smallest mean value is 25.41667

f. Largest mean can be otained by adding 49 as new number lies between 13 to 50. So largest mean value is 28.333

g. Smallest median is possible by adding 14, so smallest median is (21+23)/2=22

h. Largest median is possible by adding 49, so median is (23+25)/2=24

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