Question

A quality product is one that is consistent and has very little variability in its characteristics. Controariability can be more difficult with agricultural products than with those that are manufactured. The following table gives the weights, in ounces, of the 25 potatoes sold in a 10-pound bag. 7.7 7.9 8.1 6.9 6.7 7.8 7.9 7.8 7.5 7.8 7.0 4.8 7.6 6.3 4.8 4.7 4.8 6.2 6.1 5.2 4.4 7.8 5.1 6.1 3.8 (a) Make a stemplot for these data. (Split each stem in two with leaves ranging from 0 to 4 on the first stem and 5 to 9 on the second. Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) 6 1123 6 79 7 1567888899

Answer 1

(c)
Based on stem plot, data can be divided into 2 clusters.
1. All values below 5.5 (total 8 values)
2. All values above 5.5 (total 17 values)

For Smaller weights, the data is 3.8,4.4,4.7,4.8,4.8,4.8,5.1,5.2

Mean = 4.7

Standard deviation = 0.438

Minimum = 3.8

Q1 = 4.625

Median = 4.8

Q3 = 4.875

Maximum = 5.2

For Larger weights, the data is 6.1,6.1,6.2,6.3,6.7,6.9,7.0,7.5,7.6,7.7,7.8,7.8,7.8,7.8,7.9,7.9,8.1

Mean = 7.247

Standard deviation = 0.720

Minimum = 6.1

Q1 = 6.7

Median = 7.6

Q3 = 7.8

Maximum = 8.1