Question

5. Find the mode, and the mean of the following set showing number of hours of operating life of
25 flashlight batteries.
20, 21, 19, 22, 18, 23, 25, 22, 23, 20, 23, 20, 22, 21, 24, 21, 22, 23, 19, 21, 22, 22, 24, 26, 22.​

Answer 1

Answer:

mode is 22 and mean is 12 for the following data

Answer 2

Answer:

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Step-by-step explanation:

The mode of a set of data is the value that occurs most frequently in the set. The mean of a set of data is the sum of all the values divided by the number of values.

To find the mode of the given set of data:

Count the frequency of each value in the set.

The value with the highest frequency is the mode.

Here is a table showing the frequency of each value in the set:

Value Frequency

18            1

19            2

20            3

21            4

22            7

23             4

24             2

25              1

26            1

The value 22 occurs most frequently in the set, with a frequency of 7. Therefore, the mode is 22.

To find the mean of the given set of data:

Add up all the values in the set.

Divide the sum by the number of values in the set.

We can add up the values using a calculator or by hand. The sum of the values is:

20 + 21 + 19 + 22 + 18 + 23 + 25 + 22 + 23 + 20 + 23 + 20 + 22 + 21 + 24 + 21 + 22 + 23 + 19 + 21 + 22 + 22 + 24 + 26 + 22

= 541

There are 25 values in the set, so we can find the mean by dividing the sum by 25:

mean = 541/25

= 21.64

Therefore, the mean of the given set of data is 21.64.