Explanation

Range is the simplest measure of data spread, calculated by subtracting the smallest value from the largest value.

It gives an idea of how widely the data values are spread.

Explanation

To find the 3rd term of the sequence 

𝑎𝑛 =n+3, substitute .n=3 into the formula:

𝑎3 = 3 + 3 = 6

Thus, the 3rd term of the sequence is 6.

Explanation

To find the median, first, we need to arrange the numbers in ascending order:

1, 5, 5, 5, 7, 8, 8, 9, 9, 10, 10

There are 11 numbers in total. Since there is an odd number of values, the median will be the middle number, which is 8.

However, if you're asking about the given options (5, 7, 8, 9), they are actually the values less than or equal to the median, not the median itself. So, the correct explanation would be:

The median of the given set is 8 because when arranged in ascending order, the middle value is 8.

Explanation

To find the size of the class interval:

Size = (Greatest value - Lowest value) / Number of intervals

= (21 - 3) / 3

= 18 / 3

= 6

Explanation

Mean = (9 + 8 + 10 + x + 12) / 5 = 15

39 + x = 75 → x = 75 - 39 = 36

Explanation

In a class interval like 7 – 12, the lowest limit is the lower boundary, which is 7.

The upper limit in this case is 12.

Explanation

To find the weighted mean:

Step 1: Calculate the weighted sum

Weighted sum = (18_2) + (19_3) + (20_4) + (21_2) + (22_1) + (23_1) + (24*1)

= 36 + 57 + 80 + 42 + 22 + 23 + 24

= 284

Step 2: Calculate the total weight

Total weight = 2 + 3 + 4 + 2 + 1 + 1 + 1

= 14

Step 3: Calculate the weighted mean

Weighted mean = Weighted sum / Total weight

= 284 / 14

= 20.286

Explanation

The term that describes the state of being without work for an educated person in a modern capitalist society, while seeking to earn one's livelihood, is unemployment.

Explanation

Inductive reasoning involves observing patterns or examples and forming a generalized conclusion.

It moves from specific cases to a general rule.

Explanation

From the above-shown logic tables, we can say that for the NAND and NOR gate, we will get the output '0' when both the inputs are 1.