Question

Using the following stem & leaf plot, find the five number summary for the data by hand.

1|4 6
2|6 8 8
3|6 8
4|2 3 9 9
5|3 5 6 7 8
6|2 3

Answer 1

To find the five number summary for the given stem & leaf plot, arrange the data in ascending order and identify the minimum, Q1, median, Q3, and maximum values.

Step-by-step explanation:

The five number summary is a statistical measure that provides information about the spread and distribution of a dataset. It consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. To find the five number summary for the data in the given stem & leaf plot, we can follow these steps:

1. Arrange the data in ascending order: 124, 132, 149, 153, 156, 157, 158, 162, 186, 236, 239, 243, 256, 267, 268, 293
2. Identify the minimum value: 124
3. Identify Q1, which is the median of the lower half of the data. In this case, the lower half is from 124 to 158. So, Q1 is (124 + 153) / 2 = 138.5
4. Identify the median (Q2) of the entire data. In this case, the median is the middle value, which is 157
5. Identify Q3, which is the median of the upper half of the data. In this case, the upper half is from 158 to 293. So, Q3 is (158 + 293) / 2 = 225.5
6. Identify the maximum value: 293

So, the five number summary for the given data is:

Minimum: 124
Q1: 138.5
Median: 157
Q3: 225.5
Maximum: 293