good = c bad = b

we use the SEM when we are interested in the accuracy of the sample mean as an estimate of the population mean, especially in the context of hypothesis testing, confidence intervals, and other inferential statistics. The SD is used when we are interested in understanding the variability within the sample itself.

For example, if we're conducting an experiment and taking multiple measurements, the standard deviation can tell us how much our measurements for each individual trial vary. On the other hand, the standard error of the mean can tell us how much our overall estimate of the mean is likely to vary.

We use Standard Error (SE) instead of Standard Deviation (SD) when describing the variability of a sample statistic, like a mean, because SE accounts for the sample size and provides a more accurate estimate of the population parameter's uncertainty.

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Standard Deviation (SD): Measures the spread of individual data points within a single dataset. It tells you how much variation there is from the mean within that specific group. Standard Error of the Mean (SEM): Measures the expected variability of sample means around the true population mean. It tells you how much the sample mean is likely to differ from the population mean due to random sampling error.

I assumed after reading and watching the topics of variability: 1. A range represents a broad overview of data 2. IQR is the shortest form of range 3. Variance is the shortest form of IQR 4. Standard Deviation is the shortest form of Variance 5. Standard Error is the shortest form of Standard Deviation

Why do we need to use (standard error) of mean instead of SD? The use of standard error (SE) instead of standard deviation (SD) is often related to the context of inferential statistics and hypothesis testing. Both standard error and standard deviation are measures of the spread or variability of a set of data points, but they have different purposes. Standard Deviation (SD): Standard Error (SE) of the Mean.

why do we need to use (standard error) of men instead of SD?The standard error (SE) and standard deviation (SD) are both measures of the spread or variability of a set of values, but they serve different purposes. Standard Deviation (SD): Standard Error (SE):