1.The calorie content of 12 cereals is given below.

13021019019011519013021024021014080

(a)Calculate the following to two decimals (you may do this by hand or on the calculator. If you use your calculator, include the formula that would be required to do the calculation by hand.)

(i)Mean(ii) Median

(iii) Q₁(iv) Q₃

(v) IQR(vi) Range

(vii) Standard deviation(vii) Variance

(b)Draw a boxplot of the data. (Don't forget the scale)

(c)Check for any outliers using the 1.5IQR rule.

(d)Is the distribution symmetric, skewed left, or skewed right? Justify your answer using the calculations from part (a) and the boxplot from part (b).