Question

How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (°F) were taken from May to November in the vicinity of Furnace Creek. Compute the mean, median, and mode for these ground temperatures. (Enter your answers to one decimal place.)

148	154	169	175	188	182	183
188	182	169	182	166	154	146

mean

mode

median

Answer 1

Solution:

Given that,

The mean of sample is   

Mean   = ?xn

= (148+154+169+175+188+182+183+188+182+169+182+166+154+146 /14)

=2386/14

=170.4286

= 170.4286 is not an integer, use assumed mean method

Mode  

188, 188, 183, 182, 182, 182, 175, 169, 169, 166, 154, 154, 148, 146
In the given data, the observation 182 occurs maximum number of times (3)

Mode = 182

MedianObservations in the ascending order are :
146,148,154,154,166,169,169,175,182,182,182,183,188,188

Here, n = 14 is even.

M = Value of (n/2)th observation+Value of (n/2+1)th observation 2

=Value of (14 /2) thobservation+Value of (14/2+1)th observation 2

= Value of 7th observation+Value of 8th observation2

=169+175 / 2

=172

Median = 172