Tag: evs

Questions Related to evs

The median and mode of frequency distribution are 525 and 500, then mean of same frequency distribution is -

  1. 75

  2. 107.5

  3. 527.5

  4. 537.5


Correct Option: D
Explanation:

$Median = 525, Mode = 500$
$Mode = 3 median - 2 mean$
$500=3(525)-2 mean$
$2 mean=1575-500$
$mean=\frac {1075}{2}=537.5$

Mode of distribution
$Marks\begin{bmatrix} 4 & 5 & 6 & 7 & 8 \end{bmatrix}\ No\quad of\quad students\quad \begin{bmatrix} 3 & 5 & 10 & 6 & 1 \end{bmatrix}$

  1. 6

  2. 10

  3. 8

  4. 4


Correct Option: A

The cumulative frequency distribution corresponding to 20 percentile is ______.

  1. 10%

  2. 20%

  3. 25%

  4. 33%


Correct Option: B

Find a 9596 confidence interval for the population mean from the following data:

Sample size n = 65, Mean = 6300, Standard deviation = 9.5, N=1000.

  1. (6298 - 6302)

  2. (6301 - 6308)

  3. (6290 - 4310)

  4. (6288 - 6315)


Correct Option: A

What are the shortcomings of frequency distribution?

  1. it does not show the details that are found in raw data

  2. Once the data are grouped into classes, an individual observation has no significance in further statistical calculations

  3. Statistical calculations are based only on the values of the class mark and not on the values of the observations in that class

  4. All of these


Correct Option: D

If $y \, = \, x^3 \, + \, 40$, find $\displaystyle \frac{d^2y}{dx^2} =$____.

  1. $(6x^2 \, + \, 4)$

  2. (6x)

  3. $(6x \, + \, 2x^2)$

  4. (2x + 2)


Correct Option: B

A tabular summary of a set of data showing classes of the data and the fraction of the items belonging to each class is called ______________.

  1. the class width

  2. a relative frequency distribution

  3. a cumulative relative frequency distribution

  4. on ogive


Correct Option: B

In a truly normal frequency distribution _________.

  1. the mean always is the same as the standard deviation

  2. the mean is never the same as the mode

  3. the mode is never the same as the median

  4. the mean always is the same as the median


Correct Option: D

Which of the following is not an exotic breed of dairy cattle?

  1. Jersey

  2. Holstein

  3. Bos indicus

  4. Brown swiss


Correct Option: C
Explanation:

Exotic breeds are the breed of foreign origin. Bos indicus is an Indian Cattle. Whereas Jersey is the dairy breed in the channel island Jersey, Holstein is the dairy cattle breed from Holland and Germany and Brown swiss is the North American breed of dairy cattle. Thus, the correct answer is option C.

Which is the Indian breed of high milk yielding variety of cow?

  1. Jersey

  2. Ongole

  3. Sahiwal

  4. Red sindhi


Correct Option: C
Explanation:

Jersey is an exotic breed. Red Sindhi is a high yielding cow, originating from Pakistan. Ongole is an indigenous breed, originating from Andhra Pradesh and can produce 12-15 kg milk per day. Sahiwal is an indigenous breed, originating from Punjab and can produce 15-18 Kg milk per day. Thus, the correct answer is option C.