Answer: The value of the center increases and the distribution has a smaller spread.
Step-by-step explanation:
Re - arranging the first value in ascending order , we have :
12 ,14, 16 , 19, 21 , 22 , 28 , 32
Median = 19 + 21 / 2
= 40/2
= 20
Also calculating the standard variation in order to know the spread , we need to first of all calculate the mean
Mean = 12 + 14 + 16 + 19 + 21 + 22 + 28 + 32 / 8
Mean = 164/8
Mean = 20.5
Therefore to calculate the standard deviation, we need to calculate the variance, which is
+
+
+
+
+
+
+
/ 8
Variance = 328/8
Variance = 41
Standard deviation =
S.D =
S.D = 6.4
Also re arranging the second values , we have :
20 , 24 , 25 , 31
Median = 24 + 25 / 2
Median = 49/2
Median = 24.5
Calculating the S.D using the same format , the S.D = 3.9
Comparing the two we can conclude that the value at the center increases and the distribution has a smaller spread