Answer:
Step-by-step explanation:
Step 1. Calculate the measures of center (mean and median)
Mean= Average= All data values added together then divided by number of data values.
Median = middle of numbers
- 0: 1
- 4: 3
- 5: 8
- 6: 3
- 7: 1
- 8: 5
- 9: 2
So, number of data values = 3+2+5+1+3+8+3+1= 26
Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165
<u>165/26= 6.34615384</u>
<u>Average = 6.3</u>
Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:
0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10
<u>The median is 6</u>.
Step 2: Calculate range, IQR, and MAD
Range: Maximum- minimum
IQR: The IQR is the difference between Q3 and Q1.
Q1 is the middle value in the first half of the data set.
Q3 is the middle value in the second half of the data set.
MAD:
- Take the average.
- Find the distance of each value from that mean (difference between data values and mean) , then take absolute value of that distance.
- Find the mean of those distances.
Range: 10-0= 10
IQR: 3
MAD (population) : 1.9378698224852
MAD (sample) : 1.9378698224852
