Statistics Test

Result

Statistics Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

If the mode is 18, what would be the ratio of the missing value and the median of the data ?

11, 12, 8, 10, 16, 18, 24, 21, 18, x, 11, 31, 43, 36, 39, 41, 42, 28, 45, 46 and 30.

A
4 : 3

B
3 : 4

C
5 : 6

D
2 : 3

Solution

Given observations are:

11, 12, 8, 10, 16, 18, 24, 21, 18, 11, 31, 43, 36, 39, 41, 42, 28, 45, 46 and 30.

and 'x' has no fixed position.

As mode = 18, i.e. maximum number of times repeated value.

Therefore, x = 18 as all the values are written once except for 11 and if x = 18, then 18 would be repeated thrice and hence will be the mode.

The data is arranged in the ascending order.

8, 10, 11, 11, 12,16, 18, 18, 18, 21, 24, 28, 30, 31, 36, 39, 41, 42, 43, 45 and 46.

Hence, there are 21 values in total and the median is the middle value of the data which equals 24.

Now, the ratio of the missing value and the median of the data = 18 : 24

= 3 : 4
Question 2
1 / -0

Find the value of x from the following scores (out of 10), scored by 30 kabaddi players in the series of matches where mean is 10 and median is 9:

5, 5, 6, 7, 9, 5, 4, 5, 6, 5, 9, 5, 6, 5, 7, 1, 2, 4, 7, 3, 2, x, 7, 7, 4, 3, 1, 0, 7.

A
x = 7

B
x = 5

C
x = 4

D
x = 2

Solution

Given : Mean = 10 and median = 9
Mode = 3 median – 2 mean
= 3 × 9 – 2 × 10
= 27 – 20 = 7
Therefore, Mode = 7
x = 7 {Mode, which means the number which appears most often in a set of numbers, is 7.}
Question 3
1 / -0

If the average time taken by 12 students for making project A is 5 hours and the average time taken by 8 students for making project B is 3 hours, then what would be the mean time of the students for both the projects?

A
4.2 hours

B
5.8 hours

C
6.8 hours

D
7.1 hours

Solution

Given,
Average time of 12 students for making project A = 5 hours
Total time = 12 × 5 = 60 hours
Average time of 8 students for making project B = 3 hours
Total time = 8 × 3 = 24 hours
Total time taken = (60 + 24) hours = 84 hours
Now, mean time for both the projects = 84/20 = 4.2 hours