Final answer:
The dataset has a positively skewed distribution with a 5-number summary of (1, 3, 4, 6, 9), and its frequency and relative frequency histograms reveal clusters around lower values.
Step-by-step explanation:
Let's break down each part of your question step by step:
Frequency Histogram:
A frequency histogram is a graphical representation of the distribution of a dataset. It shows how often each different value in a set of data occurs.
Relative Frequency:
Relative frequency is the fraction of times a value occurs in a dataset. It is calculated by dividing the frequency of a value by the total number of data points.
Frequency Histogram with 4 Classes:
For this, you would group the data into four classes. Since your data is relatively small, you can group them like this:
5-Number Summary:
Minimum: 1
Q1 (First Quartile): 3
Median (Second Quartile): 4
Q3 (Third Quartile): 6
Maximum: 9
Distribution:
The distribution of the data indicates how the values are spread out or clustered together. In this case, the data seems to be positively skewed, as there are more lower values (1, 2, 3) and fewer higher values (7, 9). The bulk of the data is concentrated between Q1 and Q3.
Your correct question is: Given the following data set, 1 1 2 2 3 3 4 5 5 5 5 6 6 6 7 99 9 9 9 1) Give the frequency histogram of the data. 2) Give relative frequency of the data. 3) Give frequency histogram using 4 classes. 4) Give relative frequency histogram of data using 4 classes. 5) Find 5 - number summary of the data. 6)Find the distribution of the data.