Question

Q.1 Find the mean and mode of
2,4,5, 3, 0, 4, 1,4,5​

Answer 1

Answer:

Set A contains the numbers 2, 2, 3, 5, 5, 7, 8 and Set B contains the numbers 2, 3, 3, 4, 6, 7.

Measure

Set A

2, 2, 3, 5, 5, 7, 8

Set B

2, 3, 3, 4, 6, 7

The Mean

To find the mean, you

need to add up all the

data, and then divide

this total by the number

of values in the data.

Adding the numbers up gives:

2 + 2 + 3 + 5 + 5 + 7 + 8 = 32

There are 7 values, so you divide

the total by 7: 32 ÷ 7 = 4.57...

So the mean is 4.57 (2 d.p.)

Adding the numbers up gives:

2 + 3 + 3 + 4 + 6 + 7 = 25

There are 6 values, so you divide

the total by 6: 25 ÷ 6 = 4.166...

So the mean is 4.17 (2 d.p.)

The Median

To find the median, you

need to put the values

in order, then find the

middle value. If there are

two values in the middle

then you find the mean

of these two values.

The numbers in order:

2 , 2 , 3 , (5) , 5 , 7 , 8

The middle value is marked in

brackets, and it is 5.

So the median is 5

The numbers in order:

2 , 3 , (3 , 4) , 6 , 7

This time there are two values in

the middle. They have been put

in brackets. The median is found

by calculating the mean of these

two values: (3 + 4) ÷ 2 = 3.5

So the median is 3.5

The Mode

The mode is the value

which appears the most

often in the data. It is

possible to have more

than one mode if there

is more than one value

which appears the most. The data values:

2 , 2 , 3 , 5 , 5 , 7 , 8

The values which appear most

often are 2 and 5. They both

appear more time than any

of the other data values.

So the modes are 2 and 5

The data values:

2 , 3 , 3 , 4 , 6 , 7

This time there is only one value

which appears most often - the

number 3. It appears more times

than any of the other data values.

So the mode is 3

The Range

To find the range, you

first need to find the

lowest and highest values

in the data. The range is

found by subtracting the

lowest value from the

highest value. The data values:

2 , 2 , 3 , 5 , 5 , 7 , 8

The lowest value is 2 and the

highest value is 8. Subtracting

the lowest from the highest

gives: 8 - 2 = 6

So the range is 6

The data values:

2 , 3 , 3 , 4 , 6 , 7

The lowest value is 2 and the

highest value is 7. Subtracting

the lowest from the highest

gives: 7 - 2 = 5

So the

Step-by-step explanation:

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