Box and Whiskers Plot

Q. Consider the following statements regarding the box and whiskers plot, and choose the correct option.

Statement I: It shows the distribution of data set at a glance.

Statement II: It does not indicate the existence of unusual behaviors on outliers.

1. Only statement I is correct.
2. Both statements are correct.
3. Both statements are incorrect.
4. These statements cannot be generalized.

Q. The values that divide a set of numbers into quarters is

1. whiskers
2. median
3. quartiles
4. none of the above

Q. Choose the correct formula of the inter-quartile range:

1. Lower quartile $-$ Upper quartile
2. Upper quartile $-$ Lower quartile
3. Upper quartile $+$ Lower quartile
4. $2\times$ Median

Q. of the data lies in the inter-quartile range.

1. 50%
2. 25%
3. 75%

Q. For a spreaded data set around a median, the whiskers are than/to the length of half of the box.

1. quite longer
2. quite shorter
3. equal

Q. In a box and whiskers plot, there are quartiles which divide the data set into intervals.

1. four
2. five
3. two
4. three

Q. In box and whiskers plot, the represent the extreme points, whereas the represents the $50\%$ of the data points.

1. whiskers
2. box
3. mean
4. median

Q. Choose the correct option with respect to the box and whiskers plot.

Statement I: The median of a data set is called the middle quartile.

Statement II: The medians which give the lower and upper 25% of the data set are called lower quartile and upper quartile, respectively.

Statement III: The lower and upper extremes are the lowest and the highest data points, respectively.

1. Only statement I is correct.
2. Only statement I and II are correct.
3. All the statements are correct.
4. All the statements are incorrect.

Q. How many quartiles are there in a box and whiskers plot?

Q. Data sets for two quantities $X$ and $Y$ are represented in the following box and whiskers plots.


Quantity is relatively more spreaded than quantity .

1. $X$
2. $Y$
3. $X\times Y$
4. $\frac{X}{Y}$

Q. Reading a box and whiskers plot can help us observe the center, the spread, and the overall range of the data.

1. True
2. False