Answer:
In Data Set A mean , standard deviation are better measure of center as they give more information about the center of data.
In Data Set B mean , standard deviation are better measure of center as they give more information about thecenter of data.
Step-by-step explanation:
Data Set A Data Set B
1 3
3 5
3 5
2 4
4 6
0 1
4 6
3 6
3 6
5 6
2 5
Mean of Set A= 1+3+3+2+4+0+4+3+3+5+2/ 11= 30/11= 2.7272
Median of Set A= 0,1,2,2,3,3 ,3,3,4,4,5
Median ( the middle value)=3
Mode( the repeated value)= 3
Quartiles
1st Quartile= n/4 value= 30/4= 7.5 which lies between 4th and 5th value
3rd quartile= 3n/4= 90/4= 22.5 which lies between 10 th and 11th value
Range= highest value- lowest value= 5-0=5
Standard Deviation = 1.354
In this mean ,median, mode and standard deviation are better measure of center as they give more information about the data.
The range and quartiles are better measure of spread.
Mean of Set B= 3+5+5+4+6+1+6+6+6+6+5/11=53/11=4.81818
Median of Set B= 1,3,4,5,5,5,6,6,6,6,6
Median ( the middle value)= 5
Mode ( the repeated value)= 6
Quartiles
1st Quartile= n/4 value= 53/4= 13.25 which lies between 4th and 5th value
3rd quartile= 3n/4= 159/4= 39.75 which lies between 9 th and 10 th value
Range= highest value- lowest value=6-1= 5
Standard Deviation= 1.5266
In this mean , standard deviation are better measure of center as they give more information about the data.
The median mode quartiles and range are better measure of spread.
A smaller standard deviation indicates that most of the observations are close to the mean while a large value implies that the observations are scattered widely about the mean.
The quartiles must be having values near 25% and 75% of the data.
The center gives a value which is located around the center
Mean: It gives the average value.
Median:It is the middle value when data is ordered from least to greatest.
The spread gives the value showing where the data may variate.
Range: Total spread is given by the range.
Standard deviation: How far a data point is from the mean.
