What do you understand by the term mode of
a data? Point out the methods of its computatio
in grouped and ungrouped data. Explain through
examples.
Answers
Answer:
Step-by-step explanation:
to calculate the mean of grouped data, the first step is to determine the midpoint of each interval or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.
Grouped data is data that has been bundled together in categories. Histograms and frequency tables can be used to show this type of data:
grouped data
Relative frequency histogram showing book sales for a certain day, sorted by price.
The data is grouped together by classes or bins.
Grouped Data vs. Ungrouped Data
Ungrouped data is the data you first gather from an experiment or study. The data is raw — that is, it’s not sorted into categories, classified, or otherwise grouped. An ungrouped set of data is basically a list of numbers.
Calculating the Sample Mean for Grouped Data
When you have a frequency table or other group of data, the original set of data is lost — replaced with statistics for the group. You can’t find the exact sample mean (as you don’t have the original data) but you can find an estimate. The formula for estimating the sample mean for grouped data is:
mean for grouped data
Step 1: Find the midpoint for each class interval. the midpoint is just the middle of each interval. For example, the middle of 10 and 15 is 12.5:
Step 2: Multiply the midpoint (x) by the frequency (f):
TOTALS 20 405
Add up all of the totals for this step. In other words, add up all the values in the last column (you should get 405).
Step 3: Divide the last column by the second column (f):
The mean of grouped data = 405 / 20 = 20.25.
HOPE IT HELPS YOU
PLEASE MARK ME AS BRAINLIEST