Consider the data set given below: 42, 35, 47, 13, 23, 54, 38, 23, 26, 29, 31 a)
ID: 3043046 • Letter: C
Question
Consider the data set given below:
42, 35, 47, 13, 23, 54, 38, 23, 26, 29, 31
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 54, 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
The given data set is
42, 35, 47, 13, 23, 54, 38, 23, 26, 29, 31
a)Find the minimum value of the data set:
Ans:Minimum value is 13
b)Find the maximum value of the data set:
Ans:Maximum value is 54
c)Find the arithmetic mean of the data set:
Ans:=(42+35+47+13+ 23+ 54+ 38+ 23+ 26+ 29+31)/11
=29.6363
Arithmetic mean is 29.6363
d)Find the median of the data set:
Ans:13,23,23,26,29,31,35,38,42,47,54
median is 31