Explanation

The mean of 5 observations is 10.

This means the sum of the 5 observations is:

$$\text{Sum of 5 observations}=\text{Mean}\times \text{Number of observations}=10\times 5=50$$

Now, a new observation (10) is added. The new sum becomes:

$$\text{New sum}=50+10=60$$

The new mean of the 6 observations is:

New mean=New sum/Number of observations

​=660​

=10

Explanation

The range of probability for each event lies between 0 and 1.

This means that the probability of any event can be a value from 0 (impossible event) to 1 (certain event).

Explanation

If we add a constant (such as 3) to each observation of a data set, the mean will be increased by 3

This is because adding the same constant to each data point shifts the entire data set by that constant value, including the mean.

Explanation

Pictograms use symbols or images to represent data in a way that shows the frequency or count of items.

Each symbol or image represents a specific quantity, making it easy to visualize and compare counts.

Explanation

Suspended particulate matter (SPM) SPM

It is one of the essential particulate contaminants that transport heavy metals in the river system.

Additionally, it is one of the phases of heavy metals in aquatic ecosystems

Explanation

USB stands for Universal Serial Bus

It is a standard interface for connecting computer peripherals, such as keyboards, mice, printers, and external hard drives.

Explanation

Note: The answer given in the FPSC answer key is (c) but the actual answer is (b).

A rudder is a steering device used in boats and ships.

Birds do not have rudders.

They use their wings and tail feathers for steering and balance.

Explanation

Each pair of shoes consists of 2 shoes, so 100 pairs of shoes equals:

$$100\times 2=200\text{ shoes}$$

Each case holds 20 shoes, so to find how many cases are needed:

200/20 ​=10 cases

Explanation

Let's break this down logically:

(i) A toothpaste is useful.

(ii) Useful things are valuable.

From (i), we know that a toothpaste is useful. And from (ii), we know that useful things are valuable.

Therefore, since toothpaste is useful (from i), and useful things are valuable (from ii), we can conclude that toothpaste is valuable.

Thus, statement (iii) "A toothpaste is valuable" follows logically from (i) and (ii).

The correct answer is:

(a) True

Explanation

The formula for Intelligence Quotient (IQ) is:

$$text{IQ} = frac{text{Mental Age (MA)}}{text{Chronological Age (CA)}} times 100$$