Question

for what value of x the mode of the following data: 13,24,13,27,17,16,17,x,22,21,13,17 is 17
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Answer 1

ANSWER

The above observation are

10,12,14,15,16,14,15,14,15,x,16,14,16.

Calculating the above observation

x Tally Frequency

10 | 1

12 | 1

14 |||| 4

15 ||| 3

16 ||| 3

By definition, mode is the value that occurs the maximum numbers of times.

from the table we see that 14 occurs maximum numbers of times and it is given that 14 is the mode of the given data.

∴ x must be 14 since 15 and 16 occurs thrice are cannot be 15 or 16.

Hence , x=14

Answer 2

$\boxed { \mathbb{\red{mode}}}$

mode is the is the frequency which occurs the most.

Step-by-step explanation:

refer to the attachment for the explanation