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April 23, 2024

Find the mean, median, mode and midrange

1. 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”?

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