Question

The cost of a chocolate flavor (in $) ice cream in different cities wererecorded as: 4.15, 4.20, 4.55, 4.25, 4.35, 4.45, 4.50, 4.25, 4.30, and 4.05. Findthe measures of central tendency.

Answer 1

Given:

4.15, 4.20, 4.55, 4.25, 4.35, 4.45, 4.50, 4.25, 4.30, and 4.05

To find:

The measures of central tendency.

Step-by-step explanation:

(i) Mean:

Using the formula,

`\begin{gathered} Mean=\frac{Sum\text{ of all observations}}{Total\text{ number of observations}} \\ =(4.15+4.20+4.55+4.25+4.35+4.45+4.50+4.25+4.30+4.05)/(10) \\ =(43.05)/(10) \\ =4.305 \end{gathered}`

(ii) Median:

Let us write it in ascending order.

`4.05,4.15,4.20,4.25,4.25,4.30,4.35,4.45,4.50,4.55`

So, the median is,

`\begin{gathered} (4.25+4.30)/(2)=(8.55)/(2) \\ Median=4.275 \end{gathered}`

(ii) Mode:

Mode is the number that occurs the highest number of times.

So, the mode is 4.25.

Final answer:

• The mean is 4.305.

,

• The median is 4.275.

,

• The mode is 4.25.