This year, the year is 2021
First, let's calculate the mean and the mean absolute deviation of the first bowler.
FIRST BOWLER: <span>8,5,5,6,8,7,4,7,6
Mean = (Sum of all data)/(Number of data points) = (8+5+5+6+8+7+4+7+6)/9
<em>Mean = 6.222</em>
Mean absolute deviation or MAD = [</span>∑(|Data Point - Mean|]/Number of Data Points
MAD = [|8 - 6.222| + |5 - 6.222| + |5 - 6.222| + |6 - 6.222| + |8 - 6.222| + |7 - 6.222| + |4 - 6.222| + |7 - 6.222| + |6 - 6.222|]/9
<em>MAD = 1.136</em>
SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
</span>Mean = (Sum of all data)/(Number of data points) = (<span>10+6+8+8+5+5+6+8+9</span>)/9
<em>Mean = 7.222</em>
Mean absolute deviation or MAD = [∑(|Data Point - Mean|]/Number of Data Points
MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
<em>MAD = 1.531
</em>
The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>
Answer:
x = 19
Step-by-step explanation:
(5x+4)+(x-2)+(3x+7) = 180
5x+4+x-2+3x+7 = 180
9x+9 = 180
9x = 171
x = 171/9
x = 19
First change 0.8 to a fraction which is 4/5. Then find a common denominator between 5/8, 4/5, and 3/5. The common denominator is 40. So then you multiply the numerator by the same number you multiply the denominator by. I'll do 5/8 as an example; to get 40 as your denominator multiply 8 by 5, and then multiply 5 by 5. The fraction you'll get is 25/40. The rest of the fractions are 4/5 - 32/40 and 3/5 - 24/40. Then order them either from smallest to largest (24/40, 25/40, 32/40) or largest to smallest (32/40, 25/40, 24/40).
