Advertisements
Advertisements
Question
Which of the following is not a measure of dispersion?
Options
Range
Standard deviation
Arithmetic mean
Variance
Solution
Arithmetic mean
Explanation;
Hint:
Measures of dispersion are,
(i) Range
(ii) Mean deviation
(iii) Quartile deviation
(iv) Standard deviation
(v) Variance
(vi) coefficient of variation
APPEARS IN
RELATED QUESTIONS
Find the range and coefficient of range of the following data
63, 89, 98, 125, 79, 108, 117, 68
A teacher asked the students to complete 60 pages of a record notebook. Eight students have completed only 32, 35, 37, 30, 33, 36, 35 and 37 pages. Find the standard deviation of the pages yet to be completed by them.
A wall clock strikes the bell once at 1 o’clock, 2 times at 2 o’clock, 3 times at 3 o’clock and so on. How many times will it strike in a particular day? Find the standard deviation of the number of strikes the bell make a day.
If the standard deviation of a data is 3.6 and each value of the data is divided by 3, then find the new variance and new standard deviation
The rainfall recorded in various places of five districts in a week are given below. Find its standard deviation
| Rainfall (in mm) | 45 | 50 | 55 | 60 | 65 | 70 |
| Number of places | 5 | 13 | 4 | 9 | 5 | 4 |
In a study about viral fever, the number of people affected in a town were noted as Find its standard deviation
| Age in years | 0−10 | 10−20 | 20−30 | 30−40 | 40−50 | 50−60 | 60−70 |
| Number of people affected | 3 | 5 | 16 | 18 | 12 | 7 | 4 |
The measurements of the diameters (in cms) of the plates prepared in a factory are given below. Find the standard deviation
| Diameter (cm) | 21 − 24 | 25 − 28 | 29 − 32 | 33 − 36 | 37 − 40 | 41 − 44 |
| Number of plates | 15 | 18 | 20 | 16 | 8 | 7 |
The range of the data 8, 8, 8, 8, 8 ........ 8 is
The diameter of circles (in mm) drawn in the design are given below.
| Diameters | 33 − 36 | 37 − 40 | 41 − 44 | 45 − 48 | 49 − 52 |
| Number of circles | 15 | 17 | 21 | 22 | 25 |
Calculate the standard deviation.
If for a distribution, `sum(x - 5)` = 3, `sum(x - 5)^2` = 43, and total number of observations is 18, find the mean and standard deviation
