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which is a better measure of spread: range or interquartile range? why?

It is better to use the interquartile range for the best measure of spread rather than range. If either the maximum or minimum number is an outlier, this can throw off the entire range and misinforms about what the true measure of spread is. The interquartile range is often a more useful piece of information. The difference of the upper quartile and lower quartiles incorporate more actual information and data points from the spread, and are a good representation of the spread of the data.

Step-by-step explanation:

change wording

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.