Question

4. Determine the mode(s) for each of the following sets of data
. (i) 2, 8, 7, 3, 2, 7, 6, 7
(ii) 14, 16, 18, 14, 10, 14, 16, 12, 16, 10
(iii) 21, 38, 80, 26, 55, 80, 53, 68, 80, 51
(iv) 26, 32, 26, 21, 83, 26, 83, 67, 53, 83, 85​

Answer 1

Answer:

The modes of the sets of data are i) 7 (ii) 16,14 (iii) 80 (iv) 83, 26

Step-by-step explanation:

The mode of a set of data is the most repeated entry in the data.

i) Given the numbers,

$2, 8, 7, 3, 2, 7, 6, 7$

We can see that 7 is repeated thrice.  So 7 is the mode of the data.

ii) Given the data,

$14, 16, 18, 14, 10, 14, 16, 12, 16, 10$

Two numbers 16 and 14 appear three times in the data. So the data has two modes which are 16 and 14.

iii) Given the numbers,

$21, 38, 80, 26, 55, 80, 53, 68, 80, 51$

The number 80 appears three times in the data. So 80 is the mode of the data.

iv) The numbers are

$26, 32, 26, 21, 83, 26, 83, 67, 53, 83, 85$

The numbers 83 and 26 repeat 3 times. So there are three modes which are 83 and 26.