The largest value is 52 The smallest value is 15 We will make 6 classes: To determine the class width 1. Subtract 52-15 = 37 2. Divide by 6. 37÷6 = 6.166666667 3. Round to 6 The smallest class begins at the smallest number 1st class goes from 15 to 15+6 = 21 2nd class goes from 22 to 22+6 = 28 3rd class goes from 29 to 29+6 = 35 4th class goes from 36 to 36+6 = 42 5th class goes from 43 to 43+6 = 49 6th class goes from 50 to 50+6 = 56 Classes frequencies 15 - 21 2 22 - 28 4 29 - 35 17 36 - 42 13 43 - 49 2 50 - 56 2 ---------------------- Total 40 ------------------------------------ Make the histogram, starting and ending the bars halfway between the class bounds. I put the frequencies on top of the bars. (Your teacher may vary from this, as there is no standard way to do this. Some people put a vertical frequency axis.)To determine if it is bell-shaped, we calculate the mean as 34.325 and the standard deviation as 7.325 1 standard deviation below the mean is 34.325 - 7.325 = 27 1 standard deviation above the mean is 34.325 + 7.325 = 41.65 There are 21 values between those values, 21/40 = .775 = 77.5% That is within 10% of 68%, so that fits the first part of the criteria for being bell-shaped: 2 standard deviation below the mean is 34.325 - 2×7.325 = 19.6 1 standard deviation above the mean is 34.325 + 2×7.325 = 48.9 There are 37 values between those values, 37/40 = .925 = 92.5% That is within 5% of 95%, so that fits the second part of the criteria of being bell-shaped. So it is approximately bell-shaped. Edwin