Your cart is empty.
Practice each question, then open the answer or worked solution.
Let x, y, z be three observations. The mean of these observations is
(a) (x × y × z)/3 (b) (x + y + z)/3
(c) (x – y – z)/3 (d) (x × y + z)/3
Solution:-
(b) (x + y + z)/3
The average or Arithmetic Mean or mean of a given data is defined as Sum of all observations by the Number of observations.
The number of trees in different parks of a city are 33, 38, 48, 33, 34, 34, 33 and 24. The mode of this data is
(a) 24 (b) 34 (c) 33 (d) 48
Solution:-
(c) 33
Mode is the observation that occurs most frequently in the data.
Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
(a) Mean and mode (b) Mean and Median
(c) Mode and Median (d) Mean, Median and Mode
Solution:-
(a) Mean and mode
The range of the data: 21, 6, 17, 18, 12, 8, 4, 13 is
(a) 17 (b) 12 (c) 8 (d) 15
Solution:-
(a) 17
The difference between the highest and lowest observations in a given data is called its Range.
Range = Highest – lowest
= 21 – 4
= 17
The median of the data: 3, 4, 5, 6, 7, 3, 4 is
(a) 5 (b) 3 (c) 4 (d) 6
Solution:-
(c) 4
When the given data is arranged in ascending (or descending) order, then the middlemost observation is the median of the data.
So, now arrange the given observation into ascending order 3, 3, 4, 4, 5, 6, 7
Therefore, 4 is the middlemost observation, and it is the median of the data.
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children. What measure of central tendency would be most appropriate if the data is provided to him?
(a) Mean (b) Mode
(c) Median (d) Any of the three
Solution:-
(b) Mode
Mode is the observation that occurs most frequently in the data.
There are 2 aces in each of the given set of cards placed face down. From which set are you certain to pick the two aces in the first go?
Solution:-
The probability of picking the two aces in the first go is in option (c).
In the previous question, what is the probability of picking up an ace from set (d)?
(a) 1/6 (b) 2/6 (c) 3/6 (d) 4/6
Solution:-
(b) 2/6
Probability of picking up an ace from set = Number of ace in the set/ Total number of cards in the set.
The difference between the highest and the lowest observations in a data is its
(a) frequency (b) width (c) range (d) mode
Solution:-
(c) Range
In a school, only 2 out of 5 students can participate in a quiz. What is the chance that a student picked at random makes it to the competition?
(a) 20% (b) 40% (c) 50% (d) 30%
Solution:-
(b) 40%
From the question it is given that, in a school, only 2 out of 5 students can participate in a quiz.
So, the chance that a student picked at random = 2/5
Then percentage = 2/5 × 100
= 0.4 × 100
= 40 %