Following is the shooting results of the Trailblazers\' 11 games. The key for ea
ID: 3317020 • Letter: F
Question
Following is the shooting results of the Trailblazers' 11 games. The key for each game is: made shots/attempted shots /27 6/23 10/21 10/24 -FG-- 42/77 31/77 39/79. 44/86 [35/72.130/83 FT- 8/18-20/26 10/13 21/29-19/22121/26 42/88 39/93 36/93 32/89-34/78 15/19 7/12 14/18 18/24 2328 Pick one of the categories: 3-point shots, field goals, or free throws. 3. For the made shots find the a) mean, b) standard deviation, c) What percent of the results are within one st. dev. of the mean? Comments? 4. For the attempted shots find the a) mean, b) standard deviation, c) What percent of the results a within one st. dev. of the mean? 5. Now write out the attempted shots in order. a) What number is the 55th percentile? b) Find the z-score and use the table to calculate the percent that would be below this number. Is this close to the actual percentage?Explanation / Answer
Let us pick up the 3-point-shot category
Made Attemped 11 25 5 19 9 22 7 17 14 27 6 23 10 21 10 24 5 22 9 26 8 20 1) For Made Option Mean 8.55 Standard Deviation 2.73 Range for one standard deviation Min Max 5.81 11.28 Percentage of Readings lying within 1 standard deviation= 8/11 72.73% 2) For Attempted Option Mean 22.36 Standard Deviation 3.04 Range for one standard deviation Min Max 19.32 25.41 Percentage of Readings lying within 1 standard deviation= 7/11 63.64% Now in Statistics,A percentile is a measure indicating the value below which a given percentage of observations in a group of observations fall 3) For attemped option 55 Percentile All the left option of symmitrical Normal curve will be covered and we need to consider just 5%(0.05) of the right curve Now( X value for 0.05 Z value =) Z=X bar - MU/Sigma X Bar= 22.36+0.05*3.04 22.512