Question

A set which have numbers three 4's, four 5's, five 6's, eight 7’s, seven 8's and six 9's. Then the mode of numbers is
A.9
B.8
C.7
D.6

Answer 1

Hint:In statistics, the mode of a set of numbers is the number that appears most often in the set. A data set does not necessarily have only one mode - if two or more values are "tied" for being the most common, the set can be said to be bimodal or multimodal, respectively - in other words, all of the most-common values are the set's modes.

Complete step-by-step answer:
Modes are typically taken from sets of statistical data points or lists of numerical values. Thus, to find a mode, you'll need a data set to find it for. It's difficult to do mode calculations mentally for all but the smallest of datasets, so, in most cases, it's wise to begin by writing (or typing) your data set out.
{4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9}
Next, it's often a wise idea to sort the values of your data set so that they're in ascending order. As it is already in ascending , we will leave it like that.
{4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,9,9,9,9,9,9}

Next, count the number of times that each number in the set appears. Look for the value that occurs most commonly in the data set.

Identical numbers	4	5	6	7	8	9
number of occurrences	3	4	5	8	7	6

When you know how many times each value occurs in your data set, find the value that occurs the greatest number of times. This is your data set's mode.
In our set, because 7 occurs more times than any other value, 7 is the mode.

So, the correct answer is “Option C”.

Note:There can be more than one mode in a data set. If the two values are tied for being the most common values in the set, the data set can be said to be bimodal, whereas if three values are tied, the set is trimodal, and so on. Three statistical concepts that are often discussed together are means, medians, and modes. Because these concepts all have similar-sounding names and because, for a single data set, a single value can sometimes be more than one of these things,