Which of the following measures indicates the spread of the middle 50% of the data?a.Interquartile rangeb.Rangec.Standard deviationd.Variance

The answer is a. Interquartile range.

Here's why:

The interquartile range (IQR) is a measure of statistical dispersion, or in simpler terms, it's a measure of how spread out the values in a data set are around the median.

The IQR is calculated by subtracting the first quartile (25th percentile) from the third quartile (75th percentile), which effectively gives you the range of the middle 50% of the data.

So, if you're looking for a measure that indicates the spread of the middle 50% of the data, the interquartile range is the one to go for.

The other options - range, standard deviation, and variance - are also measures of dispersion, but they don't specifically focus on the middle 50% of the data. The range looks at the spread between the smallest and largest values in the data set, while the standard deviation and variance look at how much the values in the data set deviate from the mean.