Question

complete the sentences.
the distribution of the number of hours worked is best described as symmetric. so, the
are both appropriate measures of variation.
mean and the median
mean and the standard deviation
median and the interquartile range
standard deviation and the interquartile range

Explanation:

Step1: Recall measures of variation

Measures of variation describe the spread of data. Mean and median are measures of central tendency, not variation.

Step2: Analyze each option

• "mean and the median": These are central tendency, not variation. Eliminate.
• "mean and the standard deviation": Mean is central tendency, standard deviation is variation. Not both variation. Eliminate.
• "median and the interquartile range": Median is central tendency, interquartile range (IQR) is variation. Not both variation. Eliminate.
• "standard deviation and the interquartile range": Standard deviation (measures spread from mean) and IQR (measures spread of middle 50% of data) are both measures of variation. This fits.

Answer:

standard deviation and the interquartile range