Which statistical measure changes when every number in a data set is increased by 10

There are various statistical measures that can be affected by change of origin, they include; the mode, the median, the mean

Step-by-step explanation:

The variance and standard deviation remain unchanged

All will change except, range, IQR, variance and std deviation

Step-by-step explanation:

Given a data set we can find descriptive statistics such as mean, median, mode, std deviation, variance, max, minimum etc.

If every number in a data set is increased by 10 we find

that variance and std deviation will not change.

This is because when mean varies by +10 and each entry by +10 variance remains the same and hence std deviation remains the same.

Next is the interquartile range, which is the difference between I quartile and II quartile, this will remain the same

Similarly, range the difference between minimum and maximum will remain the same.

Except these four all others, namely, mean, median, mode,  min, maximum , I quartile and III quartile will all increase by 10.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.