Answer:
median = 27
range = 29
mode = 32
maximum value = 41
interquartile range = 21
minimum = 12
upper quartile = 35
mean = 25
lower quartile = 14
Step-by-step explanation:
hope i helped
Median = 27,Range = 29,Mode = 32,Maximum value = 41,Interquartile range = 21,Minimum Value= 12,Upper quartile = 35,Mean = 25,Lower quartile = 14
Median:
Median of any series is the middle no when the series contains odd number of elements,where it is the average of the two middle numbers when the series has even no of terms.
Range:
In any distribution,range is basically the spread of the number from the lowest value to the highest value.
Mode:
Mode is the most frequently occuring element in any distribution.
Upper Quartile:
It is the value under which 75% of the data values are found when they are arranged in increasing order.
Lower quartile:
It is the value under which 25% of the data values are found when they are arranged in increasing order.
Interquartile Range:
The difference between the upper quartile and lower quartile is termed as inter quartile range.
First arranging the given no in increasing order,
12,13,15,18,27,32,32,38,41
Now, since median is the middle no of the series
since we have 9 numbers in the series so the middle number must be the 5th number which is 27
Range is given by the difference between the maximum and minimum number.
So Range = 41-12
Range = 29
Mode is basically the number with highest frequency and in this series it is 32
Maximum value = 41
Inter quartile range = 21
Minimum value = 12
Upper quartile = 35
Mean is given by, mean = sum of all the elements÷total no of elements
Sum of all the elements = 12+13+15+18+27+32+32+38+41
Sum = 228
total no of elements = 9
So,mean = 218÷9
since we have to round the values to nearest whole no,so mean = 25
lower quartile = 14
Learn more about statistics here,
https://brainly.ph/question/297307,#SPJ2
