Question

the dot plot shows the birth year of everyone who works at sams office. the youngest person who works there was born in 1987. sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. where did sam make an error? birth year of employees the spread is from 1966 to 1987. there are 5 gaps. the peak is at 1985. the center is at 1977.

Explanation:

Step1: Analyze the peak

The peak of a dot - plot is the value with the most number of dots. Looking at the dot - plot, the year with the most dots is 1985 (not 1984 as Sam said).

Step2: Analyze the spread

The spread is from the earliest year (1965) to the latest year (1987).

Step3: Analyze the number of gaps

Count the number of years with no dots. There are 4 gaps.

Step4: Analyze the center

The center (median) is calculated by ordering the data (if we consider each dot as a data point). But the main error is in the peak.

Answer:

The peak is at 1985.