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What are the values of the mean and spread for the dataset shown in the bar graph?
The amount of exercise per week
0,1,2,3,4,5 those are the numbers for the exercise per week.
Mean 12, Spread 3
Mean 2, Spread 5
Mean 12, Spread 5
Mean 2, Spread 4
From the information provided, it is unclear how the values 0, 1, 2, 3, 4, and 5 correspond to the mean and spread. However, if we assume that the numbers 0, 1, 2, 3, 4, and 5 represent the frequency or count of individuals engaging in different amounts of exercise per week, then we can calculate the mean and spread based on those frequencies.
To calculate the mean, we need to multiply each value by its corresponding frequency, sum up these products, and divide by the total number of observations. Assuming equal weight for all values, we can calculate the mean as follows:
Mean = (0*0 + 1*1 + 2*2 + 3*3 + 4*4 + 5*5) / (0 + 1 + 2 + 3 + 4 + 5) = 55 / 15 = 3.67 (rounded to two decimal places)
To calculate the spread, we can use the formula for the standard deviation. Assuming the provided numbers are the actual exercise per week values, the spread can be calculated as follows:
Spread = √[ (0-3.67)^2 + (1-3.67)^2 + (2-3.67)^2 + (3-3.67)^2 + (4-3.67)^2 + (5-3.67)^2 ] / 6 ≈ 1.81 (rounded to two decimal places)
Thus, none of the given options matches the correct calculation. The correct values based on the described approach in this response are Mean 3.67 and Spread 1.81.