Video Transcript
The bar chart shows the yearly
membership of a robotics club from 2001 to 2005. Find the mean, median, mode, and
range of the data.
We can see from the bar chart that
we have five values, 49, 31, 31, 29, and 50. These are the number of members in
each year from 2001 to 2005. The first part of this question
asks us to calculate the mean. To find the mean of a set of
values, we firstly find the sum of the values. In this case, we add 49, 31, 31,
29, and 50. We then divide this total by the
number of values, which in this case is five. The sum of the values is 190. We need to divide this by five. This is equal to 38. So, the mean number of members is
38.
The second part of the question
asks us to find the median value. In order to do this, we firstly
list the values in ascending or descending order. The median is the middle value. And as there are five values here,
the median will be the third value. The median number of members in the
club is 31.
Next, we need to work out the
mode. This is the most common or most
frequently occurring number. The numbers 49, 29, and 50 appear
once, whereas the number 31 appears twice. This means that 31 is the mode of
the data set.
Finally, we’re asked to calculate
the range. This is the highest value minus the
lowest value. As the highest value is 50 and
lowest value 29, we need to subtract 29 from 50. This is equal to 21. The mean, median, mode, and range
of members in the robotics club are 38, 31, 31, and 21, respectively.