Question

Find the mode of the following data.a) 5, 6, 9, 10, 6, 12, 3, 6, 11, 10, 4, 6, 7.b) 20, 3, 7, 13, 3, 4, 6, 7, 19, 15, 7, 18, 3.c) 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6.

Answer 1

Mode (a) = 6, (c) = 7, 3, (c) = 2, 3, 4, 5, 6.

Step-by-step explanation:

Given:

a) 5, 6, 9, 10, 6, 12, 3, 6, 11, 10, 4, 6, 7

Arranging the data in increasing order, we get

3, 4, 5, 6, 6, 6, 6, 7, 9, 10, 10, 11, 12

6 has maximum frequency. So, the mode is 6.

b) 20, 3, 7, 13, 3, 4, 6, 7, 19, 15, 7, 18, 3

Arranging the data in increasing order, we get

3, 3, 3, 4, 5, 7, 7, 7, 13, 15, 18, 19, 20

3 and 7 has maximum frequency. So, the mode is 3, 7.

c) 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6

Since 2, 3, 4, 5, 6  has maximum frequency. So, the mode is 2, 3, 4, 5, 6.