How do you find the range and the mean of a data set?
Range of First Player: 0.062 Mean of First Player: 0.300 Range of Second Player: 0.029 Mean of Second Player: 0.302
Practice makes perfect
We are asked to compare the batting skills of two baseball players by comparing the mean and range of their batting averages. Let's find these quantities for each player.
First Player
Let's look at the set of batting averages of the first player.
0.265, 0.327, 0.294, 0.316, 0.281, 0.318
To find the range of the set we need to find the difference of the greatest value and the least value. We can see that the greatest value in the set is 0.327, and the least is 0.265.
Range: 0.327 - 0.265= 0.062
The range is 0.062. We can see that there are 6 values in the set. To find the mean we will add all the values and divide the sum by 6. Let's do it!
Mean:0.265+0.327+0.294+0.316+0.281+0.318/6
⇓
Mean: 0.300166...
Therefore, the mean is about 0.300.
Second Player
Now let's look at the set of batting averages of the second player.
0.304, 0.285, 0.312, 0.291, 0.303, 0.314
To find the range of the set we need to find the difference of the greatest value and the least value. We can see that the greatest value in the set is 0.314, and the least is 0.285.
Range: 0.314 - 0.285= 0.029
The range is 0.029. Let's find the mean!
Mean:0.304+0.285+0.312+0.291+0.303+0.314/6
⇓
Mean:0.3015
Therefore, the mean is about 0.302.
Comparing the Players
We can see that the mean of the second player is a little bit higher than the mean of the first player. We can also see that since the range of the second player is smaller that they are more consistent. Therefore, the second player has better batting skills.
