Mode

IMPORTANT

Mode: Overview

This topic covers concepts such as Mode as a Measure of Central Tendency, Mode for Ungrouped Distribution (An Individual Series), Mode for Ungrouped Frequency Distribution : Discrete Frequency Distribution, Mode of Continuous Data, Merits, etc.

Important Questions on Mode

HARD
IMPORTANT
Planning>Statistics>Mode> Q 1

What are the merits and demerits of mode.

Also compute the mode for the following frequency distribution.

Size of items 0-4 4-8 8-12 12-16 16-20 20-24 24-28 28-32 32-36 36-40
Frequency 5 7 9 17 12 10 6 3 1 0

HARD
IMPORTANT
Planning>Statistics>Mode> Q 2

What are the properties of Mode. 

Find the mode of the following distribution:

Height (in cm) 30-40 40-50 50-60 60-70 70-80 80-90
Number of plants 4 3 8 11 6 2

EASY
IMPORTANT
Planning>Statistics>Mode> Q 3

In a class test, 30 students obtained marks as follows;

Marks obtained Number of students
0-10 10
10-20 15
20-30 5

Find the mode.

EASY
IMPORTANT
Planning>Statistics>Mode> Q 4

In a class test, 52 students obtained marks as follows;

Marks obtained Number of students
0-10 20
10-20 32
20-30 10

Find the mode.

EASY
IMPORTANT
Planning>Statistics>Mode> Q 5

In a class test, 50 students obtained marks as follows;

Marks obtained Number of students
0-10 18
10-20 24
20-30 8

Find the mode.

EASY
IMPORTANT
Planning>Statistics>Mode> Q 6

If mean=(3 median – mode)·k, then the value of k is

EASY
IMPORTANT
Planning>Statistics>Mode> Q 7

In a moderately asymmetrical distribution the Median and mean are 5 and 4 respectively. Then the mode is

EASY
IMPORTANT
Planning>Statistics>Mode> Q 8

What is no mode condition?

EASY
IMPORTANT
Planning>Statistics>Mode> Q 9

A set of values with two modes are called

EASY
IMPORTANT
Planning>Statistics>Mode> Q 10

State whether, the statement is true or false.

Mode can be calculated by mere inspection.

EASY
IMPORTANT
Planning>Statistics>Mode> Q 11

_____ is the item having highest frequency.

MEDIUM
IMPORTANT
Planning>Statistics>Mode> Q 12

Write demerits of mode.

MEDIUM
IMPORTANT
Planning>Statistics>Mode> Q 13

Write merits of mode.

EASY
IMPORTANT
Planning>Statistics>Mode> Q 14

Which of the following is a demerit of calculating mode?

MEDIUM
IMPORTANT
Planning>Statistics>Mode> Q 15

Which of the following is a merit of calculating mode?

EASY
IMPORTANT
Planning>Statistics>Mode> Q 16

Find the mode of the given data:
5, 6, 8, 7, 8, 6, 5, 8, 9, 8, 6, 7, 8

EASY
IMPORTANT
Planning>Statistics>Mode> Q 17

A shop sold 100 pairs of shoes on a day with the following distribution—

 Size of shoes No. of pairs of shoes sold
4 10
5 15
6 20
7 35
8 16
9 3
10 1
The mode of the distribution (of size of shoe) is:

MEDIUM
IMPORTANT
Planning>Statistics>Mode> Q 18

In a class of 30 students, marks obtained by students in mathematics out of 50 is tabulated as below. Calculate the mode of data given.

Marks Obtained Number of students
10-20 5
20-30 12
30-40 8
40-50 5

EASY
IMPORTANT
Planning>Statistics>Mode> Q 19

For the following frequency distribution,

Class Interval 0-5 5-10 10-15 15-20 20-25 25-30
Frequency 10 15 30 80 40 20

If m is the value of mode, then which one of the following is correct?

EASY
IMPORTANT
Planning>Statistics>Mode> Q 20

If the mean and median of the set of numbers are 8.9 and 9 respectively, then the mode will be_____.