Question

liz got a summer job at the chilled spoon ice - cream shop. yesterday, she tracked the number of scoops of ice - cream each customer ordered during her shift.
ice cream orders
complete the sentences.
the mean of the data is _ scoops. it describes the _ of the distribution.

1. center
2. spread
3. center
4. spread

Explanation:

Step1: Count number of X - marks per value

There are 6 X - marks at 1 scoop, 7 X - marks at 2 scoops, 3 X - marks at 3 scoops and 1 X - mark at 4 scoops.

Step2: Calculate the sum of the data

The sum is \(1\times6 + 2\times7+3\times3 + 4\times1=6 + 14+9 + 4=33\).

Step3: Calculate the total number of data points

The total number of data points is \(6 + 7+3 + 1=17\).

Step4: Calculate the mean

The mean \(\bar{x}=\frac{33}{17}\approx1.94\). The mean describes the center of the distribution.

Answer:

The mean of the data is approximately \(1.94\) scoops. It describes the center of the distribution.