Data Handling Test

Result

Data Handling Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is correct?

A
Median of data may or may not be from the given data.

B
Mean of data is always from the given data.

C
Mean, median and mode are always the same for given data.

D
Mean of data can't be from the given data.

Solution

Statement 1: Median of data may or may not be from the given data. This is correct.

For example, for an even number of terms, we have to find the average of the two middle terms in the given data.
Data: 13, 12, 11, 10
So, median = Average of 12 and 11 = 11.5, which is not present in the data

For an odd number of terms, the median is the middle term in the data.

Data: 13, 12, 12, 11, 10

So, median = Middle term = 12, which is present in the data

Statement 2: Mean of data is always from the given data. This is false.
For example: 13, 18, 13, 14, 13, 16, 14, 21, 13

Mean = (13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15, which is not present in the data.

Statement 3: Mean, median and mode are always same for given data. This is false.
The median is the middle value: 13, 13, 13, 13, 14, 14, 16, 18, 21
There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th term
13, 13, 13, 13, 14, 14, 16, 18, 21
So, median = 14

Mode is the term that is repeated more often than any other, so 13 is the mode.

It can be seen that all the values are different.

Statement 4: Mean of data can't be from the given data. This is false.
13, 18, 13, 14, 13, 16, 14, 21, 22
Mean = (13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 22) ÷ 9 = 16, which is present in the data.
Mean of data is the average and it can or cannot take a value from the given data.
Question 2
1 / -0

The choices of 49 students in a class for the categories of games they like are as follows:

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

where A stands for Action games, R stands for Racing games, P stands for Puzzle games, D stands for Dice games and S stands for Strategy games.

Which two categories of games are liked by the same number of students?

A
Action & Racing

B
Racing & Puzzle

C
Action & Puzzle

D
None of the above

Solution

Number of students who like Action games = 11

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

Number of students who like Racing games = 11

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

Number of students who like Puzzle games = 10

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

Number of students who like Dice games = 8

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

Number of students who like Strategy games = 9

A, R, S, P, D, R, S, P, A, R, D, S, P, A, P, S, P, D, R, R, S, A, D, A, P, S, R, A, S, R, P, A, D, R, P, S, P, D, R, A, S, R, P, D, A, A, R, A, D

Therefore, Action games and Racing games are liked by the same number of students.
Question 3
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Rahul collected the data regarding the ages of different students in his school and prepared the following table:

Ages (Years) Number of students

0-5 20

5-10 25

10-15 30

15-20 28

A student is to be selected randomly from his school for annual athletic meet. The probability of selection is the highest for students in the age group ________ years.

A
10 - 15

B
0 - 5

C
5 - 10

D
15 - 20

Solution

The probability of selection is the highest for students in the age group 10 - 15 years because there are more students in this group than any other.