MCQ 11 Mark
In a set of $50$ observations, what is the median ?
- A
Value of $25\ th$ observation
- B
Value of $26\ th$ observation
- ✓
Value of $25.5\ th$ observation
- D
Value of $26.5\ th$ observation
AnswerCorrect option: C. Value of $25.5\ th$ observation
View full question & answer→MCQ 21 Mark
What is the mode of observations $7, 9, 9, 1, 7, 9, 4, 9, 1 ?$
View full question & answer→MCQ 31 Mark
If $\sum (x – 9) = 0$ for data having $5$ observations, then what is the value of mean ?
- A
$x̄ = 0$
- B
$x̄ = 5$
- ✓
$x̄ = 9$
- D
$x̄ = 45$
AnswerCorrect option: C. $x̄ = 9$
View full question & answer→MCQ 41 Mark
If the mean of $10$ observations is $15$, what is the sum of observations ?
View full question & answer→MCQ 51 Mark
Which of the following results is true for the data that are evenly distributed around average ?
- ✓
$x̄ = M = M0$
- B
$x̄ \> M\ >\ M0$
- C
$x̄\ <\ M\ <\ M0$
- D
$x̄\ <\ M\ >\ M0$
AnswerCorrect option: A. $x̄ = M = M0$
View full question & answer→MCQ 61 Mark
For any set of observations, which of the following is true ?
- A
$x̄ ≤ G$
- B
- ✓
$x̄ ≥ G$
- D
$x̄ > G$
AnswerCorrect option: C. $x̄ ≥ G$
View full question & answer→MCQ 71 Mark
In which of the following situations, mean cannot be found ?
AnswerCorrect option: B. There are open ended class intervals,
View full question & answer→MCQ 81 Mark
Which of the following will give us the value of median ?
- A
$D_7$
- B
$Q_1$
- C
$P_{45}$
- ✓
$P_{50}$
AnswerCorrect option: D. $P_{50}$
View full question & answer→MCQ 91 Mark
The lengths $($in meters$)$ of $6$ pipes manufactured ‘ by a company are as follows :$1.05, 1.15, 0.98, 1.12, 0.89, 0.95$ Which of the following statements is true ?
- A
Mode $= 1\ m$
- B
Mode $= 1.15\ m$
- C
Mode $0.98\ m$
- ✓
View full question & answer→MCQ 101 Mark
Which of the following statements is false ?
- A
The quartiles divide the data in $4$ equal parts.
- ✓
The mean divides the data in $2$ equal parts.
- C
The percentiles divide the data in $100$ equal parts.
- D
The deciles divide the data in $10$ equal parts.
AnswerCorrect option: B. The mean divides the data in $2$ equal parts.
View full question & answer→MCQ 111 Mark
All the observations in a data are of same value $16$. What will be their mode ?
View full question & answer→MCQ 121 Mark
The median of $10$ observations is $14.$ What will be the median of observations obtained when each observation gets doubled ?
View full question & answer→MCQ 131 Mark
If mean for a variable is $15$ and its median is $20$, what is the mode using empirical formula ?
View full question & answer→MCQ 141 Mark
What is the geometric mean of $4$ and $9$ ?
View full question & answer→MCQ 151 Mark
Which average gets most affected by too large or too small values ?
MCQ 161 Mark
What is the geometric mean of $2, 5, 100$?
- ✓
$10$
- B
$100$
- C
$31.62$
- D
$1000$
View full question & answer→MCQ 171 Mark
If the geometric mean of and $x$ is $3$. what will be mean of observations ?
- A
$4$
- B
$6$
- C
$8$
- ✓
$\frac{25}{36}$
AnswerCorrect option: D. $\frac{25}{36}$
View full question & answer→MCQ 181 Mark
The geometric mean of $3x$ and $27x$ is $18$. what will be value of $x$?
View full question & answer→MCQ 191 Mark
The geometric mean of $3$
- ✓
$21$
- B
$15.87$
- C
$19.44$
- D
$13.74$
View full question & answer→MCQ 201 Mark
In which circumstances geometric mean cannot be obtained?
- A
When all observations of a data are positive integers.
- B
When all observations are non-zero constants.
- ✓
When in the given observations any one observation is a negative integer.
- D
When observations are in percentage.
AnswerCorrect option: C. When in the given observations any one observation is a negative integer.
View full question & answer→MCQ 211 Mark
Which measure of average cannot be obtained for open-ended frequency distribution ?
MCQ 221 Mark
If mean = $20.5$ and median $22$, find the mode.
- ✓
$25$
- B
$17.5$
- C
$-17.5$
- D
$24$
View full question & answer→MCQ 231 Mark
In a frequency distribution mean is $4$ more than median. If mode is $28$, what will be the value of median?
View full question & answer→MCQ 241 Mark
Which of the following measures of average cannot be obtained by graph ?
MCQ 251 Mark
The empirical formula is not used to find mode for$ ....$
- A
skewed frequency distribution
- B
mixed frequency distribution
- ✓
uni-modal frequency distribution
- D
frequency distribution of unequal class length
AnswerCorrect option: C. uni-modal frequency distribution
View full question & answer→MCQ 261 Mark
The mode of monthly income of persons of a group is $10,000$. If it is decided to deduct $5\%$ of monthly income as saving, what will be the mode of monthly saving?
- ✓
$500$
- B
$200$
- C
$2000$
- D
$5000$
View full question & answer→MCQ 271 Mark
How is mode as a measure of average ?
MCQ 281 Mark
In which type of frequency distribution is mode not of much importance as a measure of central tendency?
MCQ 291 Mark
The empirical formula given by Karl Pearson to find mode is$.......$
- A
$Mo = 3M - 2x$
- ✓
$(x-M_2) = 3 (x - M)$
- C
$Mo = 3M-X$
- D
$(M-M_2) = 2 (M-x)$
AnswerCorrect option: B. $(x-M_2) = 3 (x - M)$
View full question & answer→MCQ 301 Mark
Which is the measure that represents the general trend of the data?
MCQ 311 Mark
Which of the following is false?
- A
$93 = P75$
- B
$D5 = M$
- ✓
$P_2 = D_2$
- D
$P25 = 91$
AnswerCorrect option: C. $P_2 = D_2$
View full question & answer→MCQ 321 Mark
If fifth decile of observations $x, 3$ $2$ $4$ is $30($where $\ x>0)$, find the value of $x$.
View full question & answer→MCQ 331 Mark
Which of the following is ture?
- A
$Q1 < P20 D5$
- ✓
$Q1 > P20 < D5$
- C
$Q2 < P20 = D5$
- D
$Q_1 > P20 - D5$
AnswerCorrect option: B. $Q1 > P20 < D5$
View full question & answer→MCQ 341 Mark
How are the values of j $ \%$ of observations of a data arranged in ascending order?
- ✓
$Pj$ or less
- B
equal to $P$
- C
less than $Pj$
- D
more than $Pj$
AnswerCorrect option: A. $Pj$ or less
View full question & answer→MCQ 351 Mark
For a data $D3 = 28$. If $3$ is subtracted from each observation of the data and then multiplied by $2$, then what will be the value of $D3$?
View full question & answer→MCQ 361 Mark
How many percentage of observations data arranged in discending order is les $93$?
- ✓
$0.25$
- B
$0.75$
- C
$0.5$
- D
$0.3$
AnswerCorrect option: A. $0.25$
View full question & answer→MCQ 371 Mark
An appropriate measure of average for open end frequency distribution is $…………$
View full question & answer→MCQ 381 Mark
What is the median of observations $-4, 4. -3, 01, -1?$
AnswerCorrect option: B. $-0.5$
View full question & answer→MCQ 391 Mark
If the number of observations of a data is even, the value of median will be equal to$ ..........$
AnswerCorrect option: C. the average value of the values of and $( +1)$ th observation
View full question & answer→MCQ 401 Mark
The mean of $10$ observations of a data is $8.8$. If two observations $12$ and $6$ of the data. are drope, what will be the value of mean?
AnswerCorrect option: C. $8.75$
View full question & answer→MCQ 411 Mark
Which average is calculated by considering the importance of observations of data ?
MCQ 421 Mark
$X1 = X2 = X3 = X4 = X5$. If $x= 3.2$, find the value of $\sum x$?
- A
$3.2$
- ✓
$12.8$
- C
$1.28$
- D
$12$
AnswerCorrect option: B. $12.8$
View full question & answer→MCQ 431 Mark
What is the value of $(x-x)$?
View full question & answer→MCQ 441 Mark
When all observations are of equal importance, which average is obtained?
MCQ 451 Mark
By which change is the value of mean changed?
- ✓
By change of scale and origin
- B
- C
- D
AnswerCorrect option: A. By change of scale and origin
View full question & answer→MCQ 461 Mark
Which is the popular measure of average ?
MCQ 471 Mark
Which is an idle measure of average ?
MCQ 481 Mark
Which of the following is not a characteristic of an ideal measure of average ?
- A
Definition is clear and simple.
- B
Easy to understand and simple to calculate.
- C
Based on all observations of data.
- ✓
Different values for different samples.
AnswerCorrect option: D. Different values for different samples.
View full question & answer→MCQ 491 Mark
How many are the measures of central tendency used for the analysis of data?