Find the mode and the mean of the following set showing number of hours of operating life 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:

mode: 22

mean: 21

Step-by-step explanation:

For mode, look for the number that occurs the most (22). I remember this because MODE kinda sounds like MOST. Remember that the mean is just another word for average. I remember this because I think its MEAN that they'd make another word for average, although the term average is way easier to remember. So, add all numbers (525) and divide them by 25.

525 divided by 25= 21

(it might be safe to double check my work)

The mean of the set showing number of hours of operating life 25 flashlight batteries is, 21.8

The mode of the set showing number of hours of operating life 25 flashlight batteries is, 22

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The set showing number of hours of operating life 25 flashlight batteries 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.

Now, We can arrange the numbers in ascending order as;

⇒ 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26

Thus, The mean of the set is,

⇒ Mean = 18 + 19 + 19 + 20 + 20 + 20 + 21 + 21 + 21 + 21 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 26 / 25

⇒ Mean = 545 / 25

⇒ Mean = 21.8

And, The mode of the data set is the most often number in data set.

Hence, The mode of the set = 22

Learn more about the addition visit:

https://brainly.com/question/25421984

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