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Statistics & Probability

There are 50 numbers. Each number is subtracted from 53 and the mean of the
numbers so obtained is found to be –3.5. The mean of the given numbers is :
(A) 46.5 (B) 49.5 (C) 53.5 (D) 56.5

06/11/2024

Mathematics

9th

Statistics & Probability

The mean of 100 observations is 50. If one of the observations which was 50 is
replaced by 150, the resulting mean will be :
(A) 50.5 (B) 51 (C) 51.5 (D) 52

06/11/2024

Mathematics

9th

Statistics & Probability

If each observation of the data is increased by 5, then their mean
(A) remains the same (B) becomes 5 times the original mean
(C) is decreased by 5 (D) is increased by 5

06/11/2024

Mathematics

9th

Statistics & Probability

The mean of five numbers is 30. If one number is excluded, their mean becomes
28. The excluded number is :
(A) 28 (B) 30 (C) 35 (D) 38

06/11/2024

Mathematics

9th

Statistics & Probability

A grouped frequency distribution table with classes of equal sizes using 63-72(72 included) as one of the class is constructed for the following data :
30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88,
40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96,
102, 110, 88, 74, 112, 14, 34, 44.
The number of classes in the distribution will be :
(A) 9 (B) 10 (C) 11 (D) 12

06/11/2024

Mathematics

9th

Statistics & Probability

A grouped frequency table with class intervals of equal sizes using 250-270 (270 not included in this interval) as one of the class interval is constructed for the following data :
268, 220, 368, 258, 242, 310, 272, 342,
310, 290, 300, 320, 319, 304, 402, 318,
406, 292, 354, 278, 210, 240, 330, 316,
406, 215, 258, 236.
The frequency of the class 310-330 is:
(A) 4 (B) 5 (C) 6 (D) 7

06/11/2024

Mathematics

9th

Statistics & Probability

n the class intervals 10-20, 20-30, the number 20 is included in :
(A) 10-20 (B) 20-30
(C) both the intervals (D) none of these intervals

06/11/2024

Mathematics

9th

Statistics & Probability

The class marks of a frequency distribution are given as follows :
15, 20, 25, …
The class corresponding to the class mark 20 is :
(A) 12.5 – 17.5 (B) 17.5 – 22.5 (C) 18.5 – 21.5 (D) 19.5 – 20.5

06/11/2024

Mathematics

9th

Statistics & Probability

Let m be the mid-point and l be the upper class limit of a class in a continuous
frequency distribution. The lower class limit of the class is :
(A) 2m + l (B) 2m – l (C) m – l (D) m – 2l

06/11/2024

Mathematics

9th

Statistics & Probability

The width of each of five continuous classes in a frequency distribution is 5 and the lower class-limit of the lowest class is 10. The upper class-limit of the highest class is:

(A) 15 (B) 25 (C) 35 (D) 40

06/11/2024

Mathematics

9th