Tag: range and mean deviation

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Questions Related to range and mean deviation

Multiple choice median percentiles and quartiles range and mean deviation mode

If the 2nd term of a GM series is 25, the first and 3rd terms will be _____.

  1. 5,125

  2. 105,5

  3. 5,105

  4. 25,125
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Geometric mean between two numbers is the mean proportion of the series. 

Therefore, let the two numbers be a and b 
a/25 = 25/b 

=>ab= 25 x 25

Also , a/b = 1/25

 b = 25a

so, a (25a) = 25 x 25

=>a2 = 25

=> a = 5

Now, b = 25(5)

        b = 125  

Therefore, the first and the 3rd terms are 5 and 125 respectively. 

Multiple choice median percentiles and quartiles range and mean deviation mode

_______ is used when most frequent occurring value if required. (discrete variable).

  1. Mode

  2. Mean

  3. Median

  4. None of above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value. 

Multiple choice median percentiles and quartiles range and mean deviation mode

Extreme values have _______ effect on mode.

  1. a large

  2. a small

  3. no

  4. None of above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value. Therefore, it is a positional average and it is not affected by the extreme values of the series as it is value within the series that occurs highest number of times.

Multiple choice median percentiles and quartiles range and mean deviation mode

Which of the following is a "Positional Average"?

  1. Arithmetic Mean

  2. Geometric Mean

  3. Harmonic Mean

  4. Median
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Positional average refers to the average which are taken out through observation from the series where a particular value from the series is picked up which represents the whole series. In median, the middle most value of the series is taken as the representative value. Therefore, median is a positional average. 

Multiple choice median percentiles and quartiles range and mean deviation mode

Which of the following sentence is/ are wrong is relation to 'Mode'?

  1. It can be determined for a distribution with open ends

  2. It is not based on all the observations

  3. It is affected by extreme observations

  4. All of above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value. Therefore, it is a positional average and it is not affected by the extreme values of the series as it is value within the series that occurs highest number of times. 
Multiple choice median percentiles and quartiles range and mean deviation mode

_______ is that value of the variant which repeats maximum number of times in a distribution and around which other observations are densely distributed.

  1. Mean

  2. Median

  3. Harmonic mean

  4. Mode
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value.

Multiple choice median percentiles and quartiles range and mean deviation mode

Which of the following sentence is/ are wrong in relation to 'Mode'?

  1. It is not affected by extreme observations

  2. It can be determined even for a distribution

  3. It cannot be located graphically

  4. All of above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value. Mode can be allocated graphically through bar diagrams as mode will be the highest bar in a bar graph as it occurs the highest number of times. 
Multiple choice median percentiles and quartiles range and mean deviation mode

The object of statistical averages is to ___________.

  1. help in comparison

  2. help in delusion making

  3. help in collection of data

  4. Both a & b
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average is a method which ascertain a certain value by the use of observations from the data that represents the whole set of the data. Average is a single figure that represent the whole series. Therefore, average helps in completing the data, make the data short simply in a number that helps in decision making and initiates comparison between different variables.
Multiple choice median percentiles and quartiles range and mean deviation mode

Find out the range for the following prices of shirts in a shop.

Rupees
150
250
100
500
175
450
300
280

  1. Rs. 400

  2. Rs. 500

  3. Rs. 350

  4. Rs. 100
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Range is defined as the difference between the highest(or largest ) and lowest(or smallest) observed value in a series. It is the most simple and commonly understandable measures of dispersion. Therefore, it is the most affected measures of dispersion by the extreme values of the series. 

Range = H - L 

In the given series, H= 500 and L= 100 

Range = 500-100 = 400.

Multiple choice median percentiles and quartiles range and mean deviation mode

Find out the coefficient of range for the following prices of shirts in a shop.

Rupees
150
250
100
500
175
450
300
280

  1. 1.25

  2. 0.666

  3. 0.333

  4. 0.30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Range is defined as the difference between the highest(or largest ) and lowest(or smallest) observed value in a series. It is the most simple and commonly understandable measures of dispersion. Therefore, it is the most affected measures of dispersion by the extreme values of the series. 

Range = H - L 

In the given series, H= 500 and L= 100 

Range = 500-100 = 400.

Coefficient of range is found by dividing the range with the sum of highest and lowest value of the series. 

Coefficient of range (CR) = R/ (H+L) 

                                          =400 / (500+100) 

                                          = 400/ 600 = 0.666