Question

3) Sharon estimates that the height of her kitchen is 2 m.
Is this a sensible estimate? Give a reason for your answer.

4) Anna is 1.6 m tall. She stands next to a lamppost.
She estimates that the lamppost is 2 times as tall as she is.
Work out an estimate of the height of the lamppost.​

Answer 1

No, the height of the lamppost must be 3.2 m.

• Finding an estimate or approximation—a number that may be used for a purpose despite insufficient, ambiguous, or unstable input data—is called estimation (or estimating). Despite this, the value is still useful because it was created using the most up-to-date data. To estimate the value of a matching population parameter, estimation typically entails "using the value of a statistic determined from a sample."
• Through various formal or informal techniques, the sample produces data that can be projected in order to identify a range that is most likely to describe the missing data. When an estimate proves to be inaccurate, it will either be an overestimate or an underestimate, depending on whether it exceeded or fell short of the actual result.

Here, according to the information given, we are given that,

Sharon estimates that the height of her kitchen is 2 m.

This is not a good and sensible estimation because there should be minimum amount of headspace for proper cooking in a kitchen.

Again, we are given that, Anna is 1.6 m tall. Then, the height of the lamppost must be ($2.(1.6)$) = 3.2 m.

Hence, the height of the lamppost must be 3.2 m.

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