If the distribution of hate crimes was normally distributed, we would expect 68 percent of the data points to be within 1 standard deviations of the mean?1) What percent of your 12 data points fall within μ−σ → μ+σ (In other words 1 SD on both sides of your mean)? You will need to count how many of the 12 data points fall within these two values, then divide by 12.Give answer as a percent.2) Get u−2σ (The mean -2' the standard deviation: Two SD below the mean)3) Get μ+2σ (the mean +2' the standard deviation: Two SD above the mean)If the distribution of hate crimes was normally distributed, we would expect 95 percent of the data points to be within 2 standard deviations of the mean?4) What percent of your 12 data points fall within μ−2σ → μ+2σ (In other words 2 SD on both sides of your mean)?Give answer as a percent.

Question

If the distribution of hate crimes was normally distributed, we would expect 68 percent of the data points to be within 1 standard deviations of the mean?1) What percent of your 12 data points fall within μ−σ → μ+σ (In other words 1 SD on both sides of your mean)? You will need to count how many of the 12 data points fall within these two values, then divide by 12.Give answer as a percent.2) Get u−2σ (The mean -2&#039; the standard deviation: Two SD below the mean)3) Get μ+2σ (the mean +2&#039; the standard deviation: Two SD above the mean)If the distribution of hate crimes was normally distributed, we would expect 95 percent of the data points to be within 2 standard deviations of the mean?4) What percent of your 12 data points fall within μ−2σ → μ+2σ (In other words 2 SD on both sides of your mean)?Give answer as a percent.

Crom1970 · Accepted Answer

Step 1   As per empirical Rule   - 68% falls within the 1 standard deviation from the mean.   - 95% fall within 2 standard deviations.   - 7% fall within 3 standard deviations.   Step 2   1) 68% of 12 data points lies within 1 standard deviation  2) 952=47.5% Below mean and 2 standard deviation  0.5−0.475=0.025  2.5% of data points lies below μ−2σ  3) 952=47.5% Above mean and 2 standard deviation  0.5−0.475=0.025  2.5% of data points lies above μ+2σ  4) 95% of 12 data points lies within 2 standard deviation.

If the distribution of hate crimes was normally distributed, we would

Answered question

Answer & Explanation

New Questions in High school statistics