00:01
Hello student, in the given question we have to calculate the average z score for each individual.
00:05
So, we have formula for z score which is equals to x minus mean divided by standard deviation.
00:14
So, for the given score of strength 40yd dash and vertical jumps.
00:19
So, first let's calculate for sara.
00:23
For sara the strength of z score which is equals to 100 minus mean strength divided by standard error.
00:43
Then for 40yd dash z which is equals to 5 .3 minus mean of 40yd dash divided by standard deviation and vertical jump z which is equals to 22 minus mean of vertical jump divided by standard deviation.
01:19
Now calculate the z score for each measurement.
01:23
So, we have first the strength.
01:27
Strength mean for the strength is mean strength is equals to 100 plus 120 plus 130 plus 95 plus 85 whole divided by 5 which is equals to 106.
01:48
Then standard deviation for strength which is equals to standard deviation for strength is equals to square root of 100 minus 106 bracket square plus up to the last value which is 85 minus 106 bracket square whole divided by 5.
02:11
So, which is equals to 17 .67.
02:16
Then strength for z score for sara strength z score for sara which is equals to 100 minus 106 divided by 17 .67.
02:38
So, which is equals to minus 0 .34.
02:41
Similarly, we have to calculate 40yd dash and vertical jump.
02:46
So, 40yd dash the second point in which we have calculated mean value is equals to 5 .28 and standard deviation value which is equals to 0 .10.
03:03
Therefore, 40yd dash of z score which is equals to 5...