Question

The following data represent the number of grams of fat in breakfast meals offered at McDonald’s. (Source: fueleconomy.gov). 12 22 27 3 25 30 32 37 27 31 11 16 21 32 22 46 51 55 59 16 36 30 9 24 a) Draw a stem-and-leaf plot of the data. Include appropriate legend. b) What is the range of the data? c) What is the median of the data? d) Describe the shape of the distribution. e) The median is substantially smaller than / approximately equal to / substantially larger than the mean of the data. Underline the correct response. f) The mean / median better describes the center of the data. Circle the correct response. 3

Answer 1

12 22 27 3 25 30 32 37 27 31 11 16 21 32 22 46 51 55 59 16 36 30 9 24

a) Steam and leaf as

0	3 9
1	1 2 6 6
2	1 2 2 4 5 7 7
3	0 0 1 2 2 6 7
4	6
5	1 5 9

b) The range calculated as

Maximum value - minimum 59-3=56

c) The median is at the middle hebce

27+27=54/2=27

d.)Shape od fthe distribution is approximately normal but manili skewed.

e).The median is approximately equal to the mean since mean is 28.08 and median as 27.

f) Here MEdian can describe the center of the data.