Question

1. The monthly average New York City temperature in Fahrenheit are given below Month Jan FebMarApr May Jun Ju AugSep Oct NovDec High38 42 5061 7179 84 83 75 6454 43 Low 68 61 50 42 28 35 45 54 64 69 27 29 a) Find the mean and median of the Low temperatures. b) Draw a time series plot of the average Low and High temperatures. Make one chart with both graphs. c) Compute the sample variance of the High temperatures using the short cut formula. d) Create a side by side box plot for the High temperatures vs. Low temperatures.

Answer 1

a. Mean and Median of low temperatures are

Variable	Mean	Median
Low temperatures	47.67	47.50

b.

Time Series Plot of High, Low Variable Hitght 84 83 79 - Low 80 75 f1 69 70 68 64. 64 61 61 60 54/ 54 50 50 45 42 43 40- 38 35 29 20 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

A time series plot of the average Low and High temperatures in one graph.

c. The short cut formula to calculate sampling variance is

Using this formula we get sampling variance of high temperatures is 274.00

d.

Boxplot of High, Low 90 80 70 60 50 40 30 20- liggh Low

Boxplot of high temperatures vs low temperatures.