Question

Дистанция авторалли состояла из 6 этапов протяженностью 60 км, 120 км, 170 км, 85 км, 80 км, 55 км. найти среднюю длину этих периодов и стандартное отклонение выборочных данных

Answer 1

Ответ:

Находим среднею длину:

(60+120+170+85+80+55)/6=570/6=95.

находим отклонение:

95-60=35

95-125=-30

95-170=-75

95-85=10

95-80=15

95-55=40

Answer 2

Calculation of Average Length and Standard Deviation

To find the average length and standard deviation of the stages in the rally, we need to calculate the mean and standard deviation of the given distances: 60 km, 120 km, 170 km, 85 km, 80 km, and 55 km.

Let's calculate the average length first:

The sum of the distances is: 60 + 120 + 170 + 85 + 80 + 55 = 570 km.

To find the average length, we divide the sum by the number of distances, which is 6:

Average length = 570 km / 6 = 95 km.

Therefore, the average length of the stages in the rally is 95 km.

Now, let's calculate the standard deviation:

1. Calculate the deviation of each distance from the average length: - Deviation of 60 km = 60 km - 95 km = -35 km - Deviation of 120 km = 120 km - 95 km = 25 km - Deviation of 170 km = 170 km - 95 km = 75 km - Deviation of 85 km = 85 km - 95 km = -10 km - Deviation of 80 km = 80 km - 95 km = -15 km - Deviation of 55 km = 55 km - 95 km = -40 km

2. Square each deviation: - Squared deviation of -35 km = (-35 km)^2 = 1225 km^2 - Squared deviation of 25 km = (25 km)^2 = 625 km^2 - Squared deviation of 75 km = (75 km)^2 = 5625 km^2 - Squared deviation of -10 km = (-10 km)^2 = 100 km^2 - Squared deviation of -15 km = (-15 km)^2 = 225 km^2 - Squared deviation of -40 km = (-40 km)^2 = 1600 km^2

3. Calculate the average of the squared deviations: - Average of squared deviations = (1225 km^2 + 625 km^2 + 5625 km^2 + 100 km^2 + 225 km^2 + 1600 km^2) / 6 = 2400 km^2.

4. Take the square root of the average of squared deviations to find the standard deviation: - Standard deviation = √(2400 km^2) ≈ 48.99 km.

Therefore, the standard deviation of the distances in the rally is approximately 48.99 km.

Please note that the search results provided by You.com did not contain specific information about the distances in the rally. Therefore, the calculations above are based on the distances provided in the user's question.