Question

6. Draw a smooth curve that comes reasonably close to passing through the midpoints of the tops of the bars in the histogram. Describe the shape of the distribution.

Answer 1

1) Check it below 2) Normal Curve. Proportional, symmetric by the mean (33.5)

Explanation:

1) Check the Graph below. To draw this smooth curve that comes reasonably through the midpoints of the bars of the Histogram, we need to to find the function of Density of Probability. This function is found though this function:

`f(x)=(1)/(\sigma √(2\pi ))e^{-((x-\mu ^(2)))/(2\sigma ^(2))}`

The graph below was drawn with two vital pieces of information, the Mean and the Standard Deviation. Thankfully, there's no need to memorize it.

2) The Normal Curve ("Bell Shaped") has by characteristic a proportional, symmetric one. The Mean equally divides the this into two parts, and reasonably passes through the midpoints of its correspondent histogram.

P.S.

Retrieved information:

Mean= 33.5

Standard Deviation= 4.76