Question

How do I make this bell curve

Answer 1

The mean you found is correct, but the standard deviation is not. Recall that the standard deviation
`\sigma_s` (
`s` for sample) of
`n` points is given by

`\sigma_s=\sqrt{\frac1{n-1}\displaystyle\sum_(1\le i\le n)(x_i-\bar x)^2}`

where
`n=10` is the sample size,
`\bar x=3740` is the sample mean, and
`x_i` are the prices listed in the circled column. So

`\sigma_s=\sqrt{((3640-3740)^2+(7595-3740)^2+\cdots+(3390-3740)^2)/(10-1)}`

`\implies\sigma_s\approx1443.98\approx1444`

I can't tell if you need to provide any more info beyond this, but given there's a plot of a generalized bell curve, I think you're also supposed to label the plot.

At the center of the bell-shaped/normal distribution is the mean. Notice there are three tick marks to either side of the mean - these are probably supposed to represent prices that fall exactly 1, 2, and 3 standard deviations from the mean. These are, from left to right,

`\bar x-3\sigma_s\approx3740-3(1444)=-592`

`\bar x-2\sigma_s\approx3740-2(1444)=852`

`\bar x-\sigma_s\approx2296`

`\bar x+\sigma_s\approx5184`

`\bar x+2\sigma_s\approx6628`

`\bar x+3\sigma_s\approx8072`