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

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer:

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

timama [110]3 years ago

7 0

Answer:

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.

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Please show your work this question what made you come to the conclusion. Thank you

AveGali [126]

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

$3 {b}^{x + 1} = 2$