Statistics Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts
Statistics PRACTICE TEST [1 - EXERCISES]
Statistics Model Questions Set 1
Question : 1
In Statistics, a suitable graph for representing the partitioning of total into subparts is
a) A pictograph
b) A histogram
c) An ogive
d) A pie chart
Answer »Answer: (d)
In statistics, a suitable graph for representing the partitioning of total into sub parts is a pie chart.
Question : 2
Consider the following statements in respect of a histogram:
I. The histogram consists of vertical rectangular bars with a common base such that there is no gap between consecutive bars.
II. The height of the rectangle is determined by the frequency of the class it represents.
Which of the statements given above is/are correct?
a) Only II
b) Both I and II
c) Only I
d) Neither I nor II
Answer »Answer: (b)
Statement I :
A graph which displays the data by using vertical bars of various heights in rectangular shapes to represent frequencies. Such that there is no gap between consecutive bars and also the height of the rectangle.
Statement II :
The height of the rectangle is determined by the frequency of the class it represents.
So, both the statements are correct.
Question : 3
The arithmetic mean of 10 numbers was computed as 7.6. It was later discovered that a number 8 was wrongly read as 3 during the computation. What should be the correct mean?
a) 7.6
b) 8.1
c) 7.1
d) 8.6
Answer »Answer: (b)
Correct A.M. = ${n \ov{x} - \text"(Sum of wrong observations) + (Sum of correct observations)"}/n$
= ${10 × 7.6 - 3 + 8}/{10} = {81}/{10}$ = 8.1
Question : 4
Read the following information and answer the four items that follow .Let the distribution of number of scooters of companies X and Y sold by 5 showrooms (A, B, C, D and E) in a certain year be denoted by S1 and the distribution of number of scooters of only company X sold by the five showrooms in the same year be denoted by S2
Showroom | A | B | C | D | E | Total number of scooters sold |
S1 (in%) | 19 | 21 | 15 | 33 | 12 | 6400 |
S2(in%) | 24 | 18 | 20 | 30 | 8 | 3000 |
a) 54
b) 55
c) 52
d) 56
Answer »Answer: (b)
No. of scooters of Y sold by E
= 12% × 6400 – 8% × 3600
= 528
No. of total scooters by showroom
c = 15% × 6400 = 960
Reqd. % = ${528}/{960}$ × 100 = 55%
Question : 5
Consider the following statements in respect of the set S = {1, 2, 3, ..., n}.
I. ${(n + 1)}/2$ is the median of the numbers in S.
II. n is the mode of the numbers in S.
Which of the above statements is/are correct?
a) Only II
b) Both I and II
c) Only I
d) Neither I nor II
Answer »Answer: (d)
S = {1, 2, 3, ..., n}
Statement I
Median : It is the middle term. So, ${n + 1}/2$ here it is not define n is even or odd.
Hence, we cannot say that ${n + 1}/2$ is median. It is not correct.
Mode : It is the value that appears most of ten in a set of data.
S = {1, 2, 3, ..., n}
Here, all elements in S have same frequency.
So, both the statements are not correct.
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Statistics Model Questions Set 1 Online Quiz
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