Consider this data: 23, 25, 27, 29, 31, 31, 31, 32, 34, 36, 38, 42, 43, 45, 45, 46, 46, 46, 51, 52,
53, 54.
(a) Find the mean, median, mode and midrange.
(b) Find the range and standard deviation.
(c) Create a grouped distribution for it with five groups.
(d) Draw a stem-and-leaf plot for it.
(e) Find the z-score of 51.
(f) Find the quartiles.
2. A poll of 600 people was taken on people’s favorite ice cream flavor. Suppose the pollstsers
reported 35% of those surveyed said their favorite flavor was “chocolate”. Assuming the data
is normally distributed, what range of percentages chose “chocolate”?