The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below.

100 Meter Backstroke 100 Meter Butterfly

53.7 51.9

54.1 51.3

52.8 49.9

52.4 51.4

52.2 50.4

Q 1. Find and interpret (report in context) the mean and standard deviation of the gold medal times for each stroke. Select the correct interpretation of the mean for the 100-meter backstroke below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.)

Q 2. Select the correct interpretation of the standard deviation for the 100-meter backstroke below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.)

Q 3. Select the correct interpretation of the mean for the 100-meter butterfly below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.)
Q 4. Select the correct interpretation of the standard deviation for the 100-meter butterfly below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.)

Q 5 b. Compare the mean and standard deviation for the two strokes. Which stroke tends to have a faster gold medal time? Which has more variation in winning times?

Transcribed Image Text:The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below. 100-Meter Butterfly O 51.9 51.3 49.9 100-Meter Backstroke 53.7 54.1 52.8 51.4 52.4 52.2 50.4 Select the correct interpretation of the mean for the 100-meter butterfly below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The mean gold medal time for the butterfly in the five recent competitions is seconds O B. The mean time for the 100-meter butterfly in the five recent competitions is seconds. O C. The mean gold medal time for the 100-meter butterfly in the five recent competitions is seconds. O D. The mean gold medal time for the 100-meter butterfly is seconds. Select the correct interpretation of the standard deviation for the 100-meter butterfly below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The standard deviation for the gold medal time for the 100-meter butterfly in the five recent competitions is seconds. O B. The standard deviation for the gold medal time for the 100-meter butterfly is seconds, O C. The standard deviation for the time for the 100-meter butterfly in the five recent competitions is seconds. O D. The standard deviation for the gold medal time for the butterfly in the five recent competitions is seconds.
Transcribed Image Text:The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below. TT 100-Meter Backstroke 53.7 100-Meter Butterfly O 51.9 51.3 49.9 54.1 52.8 52.4 51.4 52.2 50.4 a. Find and interpret (report in context) the mean and standard deviation of the gold medal times for each stroke. Select the correct interpretation of the mean for the 100-meter backstroke below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The typical gold medal time for the backstroke in the five recent competitions is seconds. O B. The typical gold medal time for the 100-meter backstroke in the five recent competitions is seconds. O C. The typical time for the 100-meter backstroke in the five recent competitions is seconds. O D. The typical gold medal time for the 100-meter backstroke is seconds. Select the correct interpretation of the standard deviation for the 100-meter backstroke below and fill in the answer box within your choice. (Type an integer or decimal rounded to the nearest hundredth as needed.) O A. The standard deviation for the gold medal time for the 100-meter backstroke in the five recent competitions is seconds. O B. The standard deviation for the time for the 100-meter backstroke in the five recent competitions is seconds. O C. The standard deviation for the gold medal time for the backstroke in the five recent competitions is seconds. O D. The standard deviation for the gold medal time for the 100-meter backstroke is seconds.

Question

The table shows the​ 100-meter backstroke and the​ 100-meter butterfly gold medal times​ (in seconds) for five recent competitions. Complete parts​ (a) and​ (b) below. 100 Meter Backstroke100 Meter Butterfly53.751.954.151.352.849.952.451.452.250.4Q 1. Find and interpret​ (report in​ context) the mean and standard deviation of the gold medal times for each stroke. Select the correct interpretation of the mean for the​ 100-meter backstroke below and fill in the answer box within your choice.  ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)Q 2. Select the correct interpretation of the standard deviation for the​ 100-meter backstroke below and fill in the answer box within your choice. ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)Q 3. Select the correct interpretation of the mean for the​ 100-meter butterfly below and fill in the answer box within your choice. ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)Q 4. Select the correct interpretation of the standard deviation for the​ 100-meter butterfly below and fill in the answer box within your choice. ​(Type an integer or decimal rounded to the nearest hundredth as​ needed.)Q 5 b. Compare the mean and standard deviation for the two strokes. Which stroke tends to have a faster gold medal​ time? Which has more variation in winning​ times? The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below.100-Meter Butterfly O51.951.349.9100-Meter Backstroke53.754.152.851.452.452.250.4Select the correct interpretation of the mean for the 100-meter butterfly below and fill in the answer box within your choice.(Type an integer or decimal rounded to the nearest hundredth as needed.)O A. The mean gold medal time for the butterfly in the five recent competitions issecondsO B. The mean time for the 100-meter butterfly in the five recent competitions isseconds.O C. The mean gold medal time for the 100-meter butterfly in the five recent competitions isseconds.O D. The mean gold medal time for the 100-meter butterfly isseconds.Select the correct interpretation of the standard deviation for the 100-meter butterfly below and fill in the answer box within your choice.(Type an integer or decimal rounded to the nearest hundredth as needed.)O A. The standard deviation for the gold medal time for the 100-meter butterfly in the five recent competitions isseconds.O B. The standard deviation for the gold medal time for the 100-meter butterfly isseconds,O C. The standard deviation for the time for the 100-meter butterfly in the five recent competitions isseconds.O D. The standard deviation for the gold medal time for the butterfly in the five recent competitions isseconds. The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below.TT100-Meter Backstroke53.7100-Meter Butterfly O51.951.349.954.152.852.451.452.250.4a. Find and interpret (report in context) the mean and standard deviation of the gold medal times for each stroke. Select the correct interpretation of the mean for the 100-meter backstroke below and fill in the answer box within your choice.(Type an integer or decimal rounded to the nearest hundredth as needed.)O A. The typical gold medal time for the backstroke in the five recent competitions isseconds.O B. The typical gold medal time for the 100-meter backstroke in the five recent competitions isseconds.O C. The typical time for the 100-meter backstroke in the five recent competitions isseconds.O D. The typical gold medal time for the 100-meter backstroke isseconds.Select the correct interpretation of the standard deviation for the 100-meter backstroke below and fill in the answer box within your choice.(Type an integer or decimal rounded to the nearest hundredth as needed.)O A. The standard deviation for the gold medal time for the 100-meter backstroke in the five recent competitions isseconds.O B. The standard deviation for the time for the 100-meter backstroke in the five recent competitions isseconds.O C. The standard deviation for the gold medal time for the backstroke in the five recent competitions isseconds.O D. The standard deviation for the gold medal time for the 100-meter backstroke isseconds.

Accepted Answer

Given table shows the​ 100-meter backstroke and the​ 100-meter butterfly gold medal times​ (in…

100 Meter Backstroke	100 Meter Butterfly
53.7	51.9
54.1	51.3
52.8	49.9
52.4	51.4
52.2	50.4

The table shows the​ 100-meter backstroke and the​ 100-meter butterfly gold medal times​ (in seconds) for five recent competitions. Complete parts​ (a) and​ (b) below. 100 Meter Backstroke 100 Meter Butterfly 53.7 51.9 54.1 51.3 52.8 49.9 52.4

The table shows the 100-meter backstroke and the 100-meter butterfly gold medal times (in seconds) for five recent competitions. Complete parts (a) and (b) below. 100 Meter Backstroke 100 Meter Butterfly 53.7 51.9 54.1 51.3 52.8 49.9 52.4