Question

P 1The time to repair an electronic instrument is a normal- ly distributed random variable measured in hours. The repair times for 16 such instruments chosen at random are as follows: Hours 159 224 280 379 362 260 101 179 168 485 212 264 250 170 149 (a) Draw a stem-leaf diagram for the time to repair. (b) Construct an appropriate histogram for the time to repair. (c) Construct an appropriate boxplot diagram (d) Suggest one distribution for the data.

Answer 1

a) Stem and leaf plot

Stem-and-leaf of Hours   N = 16 taking 50 increments per leaf

1	04
1	5677
2	122
2	5668
3
3	67
4
4	8

Leaf Unit = 10

b)

c)

d)

Data follows a normal distribution with negative skewness.