Question

the mode of the data 20,24,28,32,36​

Answer 1

Explanation:

Given: 20,24,28,32,36

To find: Mode of data

Solution: Normally the highest frequency data entry is considering as mode of un-grouped data.

But here all numbers appears once.

So,

There is no mode.

But still if someone want to calculate then,

Mode may be calculated by Empirical relationship of three central tendency, i.e. mean,median and mode.

2 Mean = 3 Median-Mode

Thus,

Mode= 3 Median-2 Mean

Step 1: Find mean

$mean = \frac{sum \: of \: all \: observation}{total \: observation}$

$mean = \frac{20 + 24 + 28 +32 + 36 }{5} \\ \\ mean = \frac{140}{5} \\ \\ mean = 28$

Step 2: Find median

Data is arranged in ascending order automatically.

Numbers are odd so median is (n+1)/2 data

n= 5

(5+1)/2=3rd data

Median = 28

Step 3: Find Mode

Mode= 3 Median-2 mean

$= 3 \times 28 - 2 \times 28\\ \\ = 84 - 56\\ \\ =28$

Thus,

Mode is 28.

Hope it helps you.

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10. Median life time of bulbs is 980 hours, find the missing frequencies in the following frequency distribution, when i...

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Answer 2

Answer:

does not exist

Explanation:

in that the numbers are not repeated

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