The number of families who used the Minneapolis YWCA day care service was recorded over a 30-day period. The results are as follows: 31, 49, 19, 62, 24, 45, 23, 51, 55, 60, 40, 35, 54, 26, 57, 37, 43, 65, 18, 41, 50, 56, 4, 54, 39, 52, 35, 51, 63, and 42.

a. Construct a cumulative frequency distribution of this data.

b. Sketch a graph of the cumulative frequency polygon.

c. How many days saw fewer than 30 families utilize the day care center?

d. How busy were the highest 80 percent of the days?

Step 1 of 5:

We have the data for the number of families who used the Minneapolis YWCA day care service was recorded over a 30-day period.

31 |
49 |
19 |
62 |
24 |
45 |
23 |
51 |
55 |
60 |

40 |
35 |
54 |
26 |
57 |
37 |
43 |
65 |
18 |
41 |

50 |
56 |
4 |
54 |
39 |
52 |
35 |
51 |
63 |
42 |

Step 2 of 5:

The claim is to construct cumulative distributionThen by adding up the frequency we will get the cumulative frequency.

Class interval |
Frequency |
Cumulative frequency |

0 - 15 |
1 |
1 |

15 - 30 |
5 |
6 |

30 - 45 |
10 |
16 |

45 - 60 |
10 |
26 |

60 - 75 |
4 |
30 |

Step 3 of 5:

b) the claim is to sketch the graph of cumulative frequency polygon.

From Excel

> select the data

> go to insert

> select the graph

> ok