What is the standard deviation for the set of data in the ta Score & 16 & 17 & 18 & 19 & 20 Freq. & 2 & 8 & 11 & 6 & 3 1.06 1.41 3.29 3.67

#ExplanationThe standard deviation is a measure of the amount of variation or dispersion in a set of values. It is calculated using the following steps:1. Compute the mean (average) of the data set.2. Subtract the mean from each data point and square the result.3. Compute the mean of these squared differences.4. Take the square root of the result from step 3.Given the frequency table, we can calculate the mean as follows:Mean = Σ(score * frequency) / Σ(frequency)Then, we calculate the variance (the square of the standard deviation) as follows:Variance = Σ[(score - mean)² * frequency] / Σ(frequency)Finally, we find the standard deviation by taking the square root of the variance.#AnswerLet's calculate the mean first:Mean = (16*2 + 17*8 + 18*11 + 19*6 + 20*3) / (2+8+11+6+3) = 18.1Next, we calculate the variance:Variance = [(16-18.1)²*2 + (17-18.1)²*8 + (18-18.1)²*11 + (19-18.1)²*6 + (20-18.1)²*3] / (2+8+11+6+3) = 1.29Finally, we find the standard deviation by taking the square root of the variance:Standard Deviation = √1.29 = 1.14So, the closest option to our calculated standard deviation is option2: 1.41.