Jim is a taxi driver who keeps track of his meter readings. The results for the past twenty meter readings (rounded to the nearest dollar) are given below: 15, 46, 7,5, 9, 24, 21, 37, 19, 51, 17, 49, 8, 57, 35, 42, 22, 12, 33, 16
Make a stemplot of the data and briefly describe its center, shape, and spread.

Help I am so confuse

Question

23-08-2017
Mathematics

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Jim is a taxi driver who keeps track of his meter readings. The results for the past twenty meter readings (rounded to the nearest dollar) are given below: 15, 46, 7,5, 9, 24, 21, 37, 19, 51, 17, 49, 8, 57, 35, 42, 22, 12, 33, 16
Make a stemplot of the data and briefly describe its center, shape, and spread.

Help I am so confuse

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merlynthewhizz merlynthewhizz · Answer 1 · 2017-08-30T11:34:57+02:00

The stemplot of the data is shown below

The center of the stem plot would have been located at median
Location of median is given by [tex] \frac{n+1}{2} [/tex], where 'n' is the number of data.
Location of median = [tex] \frac{20+1}{2} = \frac{21}{2}=10.5^{th} [/tex] location

Start counting from the value of 05 on the stem plot, the 10.5th location is 21.5

Location of Q₁ = [n+1]÷4 = 21÷4 = 5.25 ≈ 6th
Location of Q₃ = 3[n+1]÷4 = 15.75 ≈ 16th

The stem plot shows that most data are located at the top part of the diagram, it means the shape of the data is 'left' heavy. This is confirmed by the box plot

Centre of the stem plot is at 21.5
Spread of the stem plot is not equally distributed
Shape of the stem plot is heavy at the top