Chapter 13.1, Problem 10PPS

To determine

To find: the measurement of central tendency would the museum, and to show it has a large number of visitors.

Answer to Problem 10PPS

Mode value of the data will be 214.

Median value will be 217.

Mean visitors to the museum are 223.

Explanation of Solution

Given information:

The table shows the attendance at an art museum.

  

Calculation:

Consider the number of visitors at the museum from Tuesday to Sunday mentioned below.

214, 189, 214, 248, 220, 253

Let’s arrange the data first in ascending order to calculate the central tendencies.

189, 214, 220, 220, 248, 253

Calculate the Mean, Median and Mode of the data values.

  $\begin{array}{c}\text{Mean}=\frac{\text{Total}\text{visitors}\text{at}\text{musium}}{\text{days}\text{visited}}\\ \text{Mean}=\frac{189+214+214+220+248+253}{6}\\ =223\end{array}$

Mean visitors to the museum are 223.

As we know Median is the middle value of data sorted from least to greatest.

There is an even number of observations in the data, so mean of middle values will be the median.

  $189,214,\underset{\frac{214+220}{2}or217}{\underbrace{214,220}},248,253$

Hence median value will be 217.

Mode occurs the most in the data.

Since 214 occurs twice in the dataset, hence mode value of the data will be 214.