In a psychological experiment, the time on task was recorded...

Name: Problem 10, Chapter 2: Introduction to Probability and Statistics
Uploaded: 2023-09-18T19:51:54-08:00
Duration: 5 min 52 s
Channel: Khalida Dawar
Description: In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time constraint. These measurements are in seconds:. a. Find the average time on task. b. Find the median time on task. c. If you were writing a report to describe these data. which measure of central tendency would you use? Explain.

In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time constraint. These measurements are in seconds:. a. Find the average time on task. b. Find the median time on task. c. If you were writing a report to describe these data. which measure of central tendency would you use? Explain.

In a psychological experiment, the time on task was recorded for 10 subjects under a 5-minute time constraint. These measurements are in seconds:.
a. Find the average time on task.
b. Find the median time on task.
c. If you were writing a report to describe these data. which measure of central tendency would you use? Explain.

Key Concepts

Arithmetic Mean

The arithmetic mean is a measure of central tendency calculated by summing all the individual data values and then dividing by the number of values. It provides an overall average that is useful when the data distribution is symmetric and free from extreme outliers, and is widely used due to its sensitivity to all data points.

Median

The median is the middle value in a data set arranged in order, which divides the data into two equal halves. It is especially valuable as a measure of central tendency when the data distribution is skewed or contains outliers, since it is not influenced by extreme values.

Choice of Central Tendency Measure

Selecting the best measure of central tendency depends on the nature of the data. If the data is normally distributed without extreme outliers, the arithmetic mean effectively represents the central value. However, if the data is skewed or contains outliers, the median is a more robust measure for accurately summarizing the typical value.

Transcript

00:01 Dear student, here is the question that in a psychological experiment the time on task was recorded for 10 subjects under 5 minute time constraint.

00:12 These measurements are in second.

00:15 First we have to find the average time on task, then find the median time on task and if you were writing a report to describe these data, which measures of central tendency would you use? so let's start with first one that find the average time on task.

00:36 The given time is 175, 250, 230, 240, 200, 185, 190, 225, 265.

00:56 So the first question is to find the average.

01:01 As we know that the average refers to the arithmetic mean.

01:06 To find the mean of this ungrouped data, what we do is we use the formula of mean that x bar equals to summation xi divided by n.

01:21 So let's sum these numbers and divide it by the number of observation that is n is equal to 10.

01:32 So we will divide this with 10.

01:36 By doing this sum, we get 2150 divided by 10 and this will be equals to x bar equals to 215.

01:57 So the mean for this data is 215.

02:02 Now second one is we have to find the medium for the time task.

02:11 In order to find the medium of this data, we have to order these data value from the smallest to the largest.

02:23 So the medium is the middle value of the sorted data set.

02:29 Since the number of the data value is given and we have to find the median average is this fourth and fifth of the data because it is even...

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