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I'm having a very hard time understanding this and everything I've found only confuses me more, the mean of my data set is 1.0085, and the standard deviation is 1.734.

If it helps the data set is; 0, 0, 0, 0, 0.1, 0.15, 0.2, 0.32, 0.34, 0.35, 0.35, 0.4, 0.5, 0.96, 1.2, 1.2, 1.4, 2.5, 2.6, 7.6.

Please I've been stuck on this for ages ;-;

Im having a very hard time understanding this and everything Ive found only confuses me more the mean of my data set is 10085 and the standard deviation is 1734 class=


Answer :

rambolokbrain

Answer:

It looks like you have a dataset with some values and you're trying to understand its mean and standard deviation. Let's break it down step by step:

  1. Calculate Mean (Average):

The mean is calculated by adding up all the numbers in the dataset and then dividing by the total number of values. In your case:

Mean = (0 + 0 + 0 + 0 + 0.1 + 0.15 + 0.2 + 0.32 + 0.34 + 0.35 + 0.35 + 0.4 + 0.5 + 0.96 + 1.2 + 1.2 + 1.4 + 2.5 + 2.6 + 7.6) / 20 = 1.0085

2. Calculate Standard Deviation:

The standard deviation measures the amount of variation or dispersion in a set of values. It's a measure of how spread out the numbers are from the mean. You can use a formula to calculate it:

  • Subtract the mean from each value, square the result, then sum all the square
  • Divide this sum by the total number of values.
  • Take the square root of this result.

In your case, the standard deviation is already given as 1.734.

These calculations help to understand the central tendency and spread of your dataset. If you have any specific questions or need further clarification, feel free to ask!

semsee45

Answer:

-3σ = -4.1935

-2σ = -2.4595

-1σ = -0.7255

μ = 1.0085

1σ = 2.7425

2σ = 4.4765

3σ = 6.2105

Step-by-step explanation:

The mean (μ) of a data set is the average value calculated by summing all values in the set and dividing by the total number of values. In this case, the mean is μ = 1.0085.

The standard deviation (σ) of a data set is a measure of the dispersion or spread of the values from the mean. In this case, the standard deviation of the data set is σ = 1.0085.

In a normal distribution curve, the mean (μ) is represented by the highest point on the curve, which is located at the center. The curve is symmetric around this point. This means that half of the data points are on either side of the mean.  

To find 1, 2 and 3 standard deviations below and above the mean, subtract or add the standard deviation multiplied by 1, 2, or 3, respectively, from the mean.

Calculating the values for 1σ, 2σ, and 3σ below the mean:

-1σ = μ - 1σ = 1.0085 - 1.734 = -0.7255

-2σ = μ - 2σ = 1.0085 - 2(1.734) = -2.4595

-3σ = μ - 3σ = 1.0085 - 3(1.734) = -4.1935

Calculating the values for 1σ, 2σ, and 3σ above the mean:

1σ = μ + 1σ = 1.0085 + 1.734 = 2.7425

2σ = μ + 2σ = 1.0085 + 2(1.734) = 4.4765

3σ = μ + 3σ = 1.0085 + 3(1.734) = 6.2105

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